I Can’t Sleep - Black Holes | Relaxing Bedtime Reading for Sleep
Episode Date: January 21, 2021Unwind with this calm bedtime reading on black holes, a peaceful way to ease insomnia and drift into restful sleep. Benjamin’s soothing voice explores what black holes are, how they form, and their ...mysterious role in the cosmos. His gentle cadence transforms vast astronomical concepts into soft, fact-filled narration that helps quiet the mind. This is not whispering or hypnosis—just calm storytelling and education designed to reduce stress, ease anxiety, and support deep rest. Press play, close your eyes, and let the mysteries of black holes carry you into dreams. Want More? Request a Topic: https://www.icantsleeppodcast.com/request-a-topic Ad-Free Episodes: https://icantsleep.supportingcast.fm/ Shop Sleep-Friendly Products: https://www.icantsleeppodcast.com/sponsors Join the Discussion on Discord: https://discord.gg/myhGhVUhn7 This content is derived from the Wikipedia article on Black Holes, available under the Creative Commons Attribution-ShareAlike (CC BY-SA) license. Read the full article: Wikipedia – Black Holes. Happy sleeping! Learn more about your ad choices. Visit megaphone.fm/adchoices
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Today's episode is from a Wikipedia article titled Black Hole.
A black hole is a region of space time where gravity is so strong that nothing.
No particles or even electromagnetic radiation such as light can escape from it.
The theory of general relativity predicts that a sufficiently compact mass can deform space time to form a black hole.
The boundary of the region from which no escape is possible is called the event horizon.
Although the event horizon has an enormous effect on the fate and circumstances of an object crossing it,
according to general relativity, it has no locally detectable features.
In many ways, a black hole acts like an ideal black body as it reflects no light.
Moreover, quantum field theory, in curved space,
space-time predicts that event horizons emit hawking radiation with the same spectrum as a black body of a temperature inversely proportional to its mass.
This temperature is on the order of billions of a Kelvin for black holes of stellar mass, making it essentially impossible to observe directly.
Objects whose gravitational fields are too strong for light to escape
were first considered in the 18th century by John Michel and Pierre Simone Laplace.
The first modern solution of general relativity that would characterize a black hole
was found by Carl Schwarzschild in 1916,
although its interpretation as a region of space from which nothing can assess.
escape, was first published by David Finkelstein in 1958.
Black holes were long considered a mathematical curiosity.
It was not until the 1960s that theoretical work showed they were a generic prediction of general
relativity.
The discovery of neutron stars by Jocelyn Bell-Bernel in 1967 sparked interest in
gravitationally collapsed compact objects as a possible astrophysical reality.
Black holes of stellar mass are expected to form when very massive stars collapse at the end of
their life cycle. After a black hole has formed, it can continue to grow by absorbing mass
from its surroundings. By absorbing other stars and merging with other black holes,
supermassive black holes of millions of solar masses may form.
There is consensus that supermassive black holes exist in the centers of most galaxies.
The presence of a black hole can be inferred through its interaction with other matter
and with electromagnetic radiation such as visible light.
Matter that falls onto a black hole can form an external accretion
disc, heated by friction forming quasars, some of the brightest objects in the universe.
Stars passing too close to a supermassive black hole can be shred into streamers that shine
very brightly before being swallowed. If there are other stars orbiting a black hole,
their orbits can be used to determine the black hole's mass and location.
Such observations can be used to be used to determine the black hole's mass and location. Such observations can be used
to exclude possible alternatives such as neutron stars.
In this way, astronomers have identified numerous stellar black hole candidates in binary systems,
and established that the radio source, known as Sagittarius A, at the core of the Milky Way galaxy,
contains a supermassive black hole of about 4.3 million solar masses.
On the 11th of February 2016, the LIGO Scientific Collaboration and the Virgo Collaboration
announced the first direct detection of gravitational waves, which also represented the first
observation of a black hole merger. As of December 2018, 11 gravitational wave events have
been observed that originated from 10 merging black holes,
along with one binary neutron star merger.
On the 10th of April 2019,
the first direct image of a black hole in its vicinity was published,
following observations made by the Event Horizon Telescope in 2017
of the supermassive black hole in Miser 87's Galactic Center.
History
The idea of a body so massive that even light could not escape
was briefly proposed by astronomical pioneer
and English clergyman John Michel
in a letter published in November 1784.
Michelle's simplistic calculations assumed such a body
might have the same density as the sun
and concluded that such a body would form
when a star's diameter exceeds the sun's by a factor of 500,
and the surface escape velocity exceeds the usual speed of light.
Michel correctly noted that such supermassive but non-radiating bodies
might be detectable through their gravitational effects on nearby visible bodies.
Scholars of the time were initially excited by the proposal
that giant but invisible stars might be hiding in plain view,
but enthusiasm dampened when the weight of the way,
like nature of light became apparent in the early 19th century.
If light were a wave rather than a corpuscle, it is unclear what, if any, influence
gravity would have on escaping light waves.
Modern physics discredits Michelle's notion of a light ray, shooting directly from the surface
of a supermassive star, being slowed down by the star's gravity, stopping, and then free-fall
falling back to the star's surface.
General Relativity
In 1915, Albert Einstein developed his theory of general relativity,
having earlier shown that gravity does influence light's motion.
Only a few months later, Karl Schwarzschild found a solution of the Einstein field equations,
which describes the gravitational field of a point mass and a spherical mass.
A few months after Svarschschild, Johannes Strosta, a student of Hendrik-Lorrence,
independently gave the same solution for the point mass and wrote more extensively about its properties.
This solution had a peculiar behavior at what is now called the Svarch child's radius,
where it became singular, meaning that some of the terms in the Einstein equations became infinite.
The nature of this surface was not quite understood at the time.
In 1924, Arthur Eddington showed that the singularity disappeared after a change of coordinates,
although it took until 1933 for Georges Le Mette to realize that this meant the singularity
at the Schwarzschild radius was a non-physical coordinate singularity.
Arthur Eddington did, however, comment on the possibility of a star with mass compressed to the Svartzschild's radius in a 1926 book,
noting that Einstein's theory allows us to rule out overly large densities for visible stars like Beetlejuice,
because a star of 250 million kilometers radius could not possibly have so high a density as the sun.
Firstly, the force of gravitation would be so great that light would be unable to escape from it,
the rays falling back to the star like a stone to the earth.
Secondly, the red shift of the spectral lines would be so great
that the spectrum would be shifted out of existence.
Thirdly, the mass would produce so much curvature of the space-time metric
that space would close up around the star, leaving us outside, i.e. nowhere.
In 1931, Subramanian Chandriscar calculated, using special relativity,
that a non-rotating body of electron degenerate matter above a certain limiting mass has no stable solutions.
His arguments were opposed by many of his contemporary,
like Eddington and Lev Lando, who argued that some yet unknown mechanism would stop the collapse.
They were partly correct. A white dwarf slightly more massive than the Transcar limit will collapse
into a neutron star, which is itself stable. But in 1939, Robert Oppenheimer and others predicted
that neutron stars above another limit
would collapse further for the reasons presented by chendreskar
and concluded that no law of physics was likely to intervene
and stop at least some stars from collapsing to black holes.
Oppenheimer and his co-authors interpreted the singularity
at the boundary of the Svarch child radius
as indicating that this was the boundary of a bubble in which time stopped.
This is a valid point of view for external observers, but not for infalling observers.
Because of this property, the collapsed stars were called frozen stars,
because an outside observer would see the surface of the star frozen in time
at the instant where its collapse takes it to the Svarch child radius.
Golden Age
In 1958, David Finkelstein identified the Schwarzschild surface
as an event horizon. A perfect unidirectional membrane, causal influences, can cross it in only one
direction. This did not strictly contradict Oppenheimer's results, but extended them to include the
point of view of in-falling observers. Finklstein's solution extended the Schwarzschild solution
for the future of observers falling into a black hole. A complete extension had already
been found by Martin Cruckel, who was urged to publish it.
These results came at the beginning of the Golden Age of General Relativity,
which was marked by general relativity and black holes becoming mainstream subjects of research.
This process was helped by the discovery of pulsars by Jocelyn Bell-Burnal in 1967,
which, by 1969, were shown to be rapidly rotating neutron stars.
Until that time, neutron stars, like black holes, were regarded as just theoretical curiosities.
But the discovery of pulsars showed their physical relevance and spurred a further interest in all types of compact objects
that might be formed by gravitational collapse.
In this period, more general black hole solutions were found.
In 1963, Roy Kerr found the exact solution for a rotating black hole.
Two years later, Ezra Newman found the Axisemitic solution for a black hole
that is both rotating and electrically charged.
Through the work of Werner Israel, Brandon Carter, and David Robinson,
the No Hair theorem emerged, stating that a stationary black hole solution is completely described
by the three parameters of the Kerr-Numann metric, mass, angular momentum, and electric charge.
At first it was suspected that the strange features of the black hole solutions were pathological
artifacts from the symmetry conditions imposed, and that the singularities would not appear in generic
situations.
This view was held in particular by Vladimir Belinski, Isaac Kalatnerka.
and Evgeny Lifshitz,
who tried to prove that no singularities appear in generic solutions.
However, in the late 1960s,
Roger Penrose and Stephen Hawking
used global techniques to prove that singularities appear generically.
For this work, Penrose received half of the 2020 Nobel Prize in physics,
Hawking having died in 2018.
work by James Bardeen, Jacob Beckenstein, Carter, and Hawking in the early 1970s
led to the formulation of black hole thermodynamics.
These laws describe the behavior of a black hole in close analogy to the laws of thermodynamics
by relating mass to energy, area to entropy, and surface gravity to temperature.
The analogy was completed when Hawking in 1920,
showed that quantum field theory implies that black holes should radiate like a black body,
with a temperature proportional to the surface gravity of the black hole,
predicting the effect now known as Hawking Radiation.
Ety
John Michel used the term dark star,
and in the early 20th century, physicists used the term
gravitationally collapsed object.
Science writer Marketer Marcian,
Marsha Bartusiac traces the term black hole to physicist Robert H. Dick, who in the early
1960s reportedly compared the phenomenon to the black hole of Kolkata, notorious as a prison
where people entered but never left alive. The term black hole was used in print by
life and science news magazines in 1963, and by science journalist Anne Ewing in her article,
Black Holes in Space, dated 18th January 1964, which was a report on a meeting of the American
Association for the Advancement of Science held in Cleveland, Ohio. In December 1967, a student reportedly
suggested the phrase black hole at a lecture by John Wheeler. Wheeler adopted the term for its
brevity and advertising value, and it quickly caught on, leading some to credit
at Wheeler with coining the phrase.
Properties and structure.
The No Hair conjecture postulates that once it achieves a stable condition after formation,
a black hole has only three independent physical properties, mass, charge, and angular momentum.
The black hole is otherwise featureless.
If the conjecture is true, any two black holes that share the same values for these properties,
or parameters are indistinguishable from one another.
The degree to which the conjecture is true for real black holes under the laws of modern physics
is currently an unsolved problem.
These properties are special because they are visible from outside a black hole.
For example, a charged black hole repels other like charges,
just like any other charged object.
Similarly, the total mass inside a sphere containing a black hole can be found by using the gravitational analog of Gauss's law far from the black hole.
Likewise, the angular momentum or spin can be measured from far away, using frame-dragging by the gravitomagnetic field through the example, the lens-thuring effect.
When an object falls into a black hole, any information about the electromagnetic field, through the example of the lens-thuring effect.
about the shape of the object or distribution of charge on it is evenly distributed along the horizon of the black hole and is lost to outside observers.
The behavior of the horizon in this situation is a dissipative system that is closely analogous to that of a conductive
stretchy membrane with friction and electrical resistance, the membrane paradigm.
This is different from other field theories such as electromagnetism, which do not have any friction
or resistivity at the microscopic level, because they are time reversible.
Because a black hole eventually achieves a stable state with only three parameters,
there's no way to avoid losing information about the initial conditions.
The gravitational and electric fields of a black hole give very little information about what went in.
The information that is lost includes every quantity that cannot be measured far away from the black hole horizon,
including approximately conserved quantum numbers, such as the total barion number and lepton number.
This behavior is so puzzling that it has been called the black hole information loss paradox.
Physical properties.
The simplest static black holes have mass, but neither electric charge nor angular momentum.
These black holes are often referred to as Schwarzschild black holes after Carl Schwartzschild,
who discovered this solution in 1916.
According to Birkhov's theorem, it is the only vacuum solution that is spheric
symmetrically symmetric. This means there is no observable difference at a distance between the gravitational
field of such a black hole and that of any other spherical object of the same mass. The popular
notion of a black hole sucking in everything in its surroundings is therefore correct only near a black
hole's horizon. Far away, the external gravitational field is identical to that of any other body
of the same mass. Solutions describing more general black holes also exist. Non-rotating charged black
holes are described by the Resner Nordstrom metric, while the Kerr metric describes a non-charged
rotating black hole. The first general stationary black hole solution known is the Kerr-Newman metric,
which describes a black hole with both charge and angular momentum. While the
the mass of a black hole can take any positive value, the charge and angular momentum are constrained by
the mass. In Planck units, the total electric charge Q and the total angular momentum J are expected
to satisfy for a black hole of mass M. Black holes with the minimum possible mass satisfying
this inequality are called extremal. Solutions of Einstein's equations
that violate this inequality exist,
but they do not possess an event horizon.
These solutions have so-called naked singularities
that can be observed from the outside,
and hence are deemed unphysical.
The cosmic censorship hypothesis rules out the formation of such singularities,
when they are created through the gravitational collapse of realistic matter.
This is supported by numerical simulations.
Due to the relatively large strength of the electromagnetic force,
black holes forming from the collapse of stars
are expected to retain the nearly neutral charge of the star.
Rotation, however, is expected to be a universal feature
of compact astrophysical objects.
The black hole candidate binary x-ray source GRS 1915 plus 105
appears to have an angular momentum near the maximum allowed value.
Event horizon
The defining feature of a black hole is the appearance of an event horizon,
a boundary in space time through which matter and light can pass
only inward toward the mass of the black hole.
Nothing, not even light, can escape from inside the event horizon.
The event horizon is referred to as such
because if an event occurs within the boundary, information from that event cannot reach an outside observer,
making it impossible to determine whether such an event occurred.
As predicted by general relativity, the presence of a mass deforms space-time in such a way that
the paths taken by particles bend towards the mass.
At the event horizon of a black hole, this deformation becomes,
so strong that there are no paths that lead away from the black hole.
To a distant observer, clocks near a black hole would appear to tick more slowly than those
further away from the black hole.
Due to this effect known as gravitational time dilation, an object falling into a black hole
appears to slow as it approaches the event horizon, taking an infinite time to reach it.
At the same time, all processes on this object slow down from the viewpoint of a fixed outside observer,
causing any light emitted by the object to appear redder and dimmer, an effect known as gravitational redshift.
Eventually the following object fades away until it can no longer be seen.
typically this process happens very rapidly with an object disappearing from view within less than a second.
On the other hand, indestructible observers falling into a black hole do not notice any of these effects as they cross the event horizon.
According to their own clocks, which appear to them to take normally, they cross the event horizon at a finite time without noting any singular behavior.
In classical general relativity, it is impossible to determine the location of the event horizon from local observations, due to Einstein's equivalence principle.
The topology of the event horizon of a black hole at equilibrium is always spherical.
For non-rotating static black holes, the geometry of the event horizon is precisely spherical,
while for rotating black holes, the event horizon is oblate.
Singularity. At the center of a black hole, as described by general relativity, may lie a gravitational singularity, a region where the space-time curvature becomes infinite.
For a non-rotating black hole, this region takes a shape of a single point, and for a rotating black hole, it is smeared out to form a ring singularity that lies in the plane of rotation.
In both cases, the singular region has zero volume.
It can also be shown that the singular region contains all the mass of the black hole solution.
The singular region can thus be thought of as having infinite density.
Observers falling into a Schwarzschild black hole, i.e. non-rotating and not charged,
cannot avoid being carried into the singularity once they cross the event horizon.
They can prolong the experience by accelerating away to slow their descent, but only up to a limit.
When they reach the singularity, they are crushed to infinite density, and their mass is added to the total of the black hole.
Before that happens, they will have been torn apart by the growing tidal forces in a process sometimes referred to as
spaghettiification or the noodle effect.
In this case of a charged Resner Nordstrom or rotating Kerr black hole,
it is possible to avoid the singularity.
Extending these solutions as far as possible reveals the hypothetical possibility
of exiting the black hole into a different space time,
with the black hole acting as a wormhole.
The possibility of traveling to another universe is, however,
only theoretical since any perturbation would destroy
this possibility. It also appears to be possible to follow close time-link curves, or turning to one's
own past, around the curve singularity, which leads to problems with causality like the
grandfather paradox. It is expected that none of these peculiar effects would survive in a proper
quantum treatment of rotating and charged black holes. The appearance of singularities in general
relativity is commonly perceived as signaling the breakdown of the theory.
This breakdown, however, is expected. It occurs in a situation where quantum effects should
describe these actions due to the extremely high density and therefore particle interactions.
To date, it has not been possible to combine quantum and gravitational effects into a single theory,
although there exist attempts to formulate such a theory of quantum gravity,
it is generally expected that such a theory will not feature any singularities.
