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8/3/2019 Final Presentation Black Holes
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ASTRONOMY CLUB
MANIPAL
PRESENTS
INTRODUCTION TO
BLACK HOLES
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Stars
Transition Animation
The idea of a body so massive that even light could not
escape was first put forward by geologist John Michell in
a letter written to Henry Cavendish in 1783 to the Royal
Society.
In 1915, Albert Einstein developed his general theory of
relativity.
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He showed that massive objects distort the four-dimensional
space-time continuum, and that it is this distortion that weperceive as gravity.
General Relativity
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Schwarzschild
He gave the first exact solution
ofEinstein's relativity
equations.
However, Schwarzschild
himself makes clear that he
believes that the theoretical
solution is physically
meaningless.
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He showed that bodies of sufficiently large mass would have anescape velocity exceeding the speed of light and so could not be
seen and these bodies are called Schwarzschild black holes.
Schwarzschild Theory
R=(2GM\c2)
This is known as Schwarzschild radius.
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Schwarzschild TheoryThe Schwarzschild radius of an object is proportional to the mass.
Accordingly, the Sun has a Schwarzschild radius of approximately
3 km, while the Earth's is only about 9 mm, the size of a peanut.
That is, if all the mass of the Sun (or Earth) were contained in asphere with a radius of 3 km (or 9 mm for the Earth), then the
volume of the Sun (or Earth) would continue to collapse into asingularity, due to the force of gravity.
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What is inside a black hole?
An animation.
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What is inside a black hole?
We cannot glimpse
what lies inside the
event horizon.
The simplest black
hole has mass but
neither charge nor
angular momentum.
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What is outside a black hole?
It is a boundary of zero thickness. Photons moving along tangents to sphere get trapped
in a circular orbit.
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Do they live forever ??
By using the laws of quantummechanics to study the region close to
a black hole horizon he proved that
black holes actually evaporate, slowly
returning their energy to the Universe.
Stephen William Hawking is a British theoretical physicist.
Born on 8 January 1942
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Black holes andThermodynamicsThe boundary of a black hole, has the property that it always
increases when additional matter or radiations falls into the
black hole.When two black holes collide or merge the resulting black hole is
larger in area than the individual sum of 2 black holes.
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Black holes andThermodynamics
These properties show a resemblance between area of eventhorizon of a black hole and the concept of entropy in
thermodynamics.
Law was derived relating change in mass of black hole to a
change in area of the event horizon.
Surface gravity as proportionality constant.
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The small change in theentropy is accompanied bychange in energy.
But black hole is created bygravitational collapse, itrapidly settles down tostationary state
Black holes andThermodynamics
It is characterized by only threeparameters: the mass, the
angular momentum, and the
electric charge.
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So by this concept if any radiation falls into a black hole will
be trapped and black hole will not emit any radiation.
Black holes andThermodynamics
But in 1974 to the great surprise of scientists it was found that black hole seemed toemit particles at steady rate.
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At that time it was confirmed that the whole of space is filled with pairs ofvirtual particles and antiparticles.
Their existence had been confirmed by small shift (the Lamb shift) theyproduce in the spectrum of light.
Black holes andThermodynamics
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Now, in the presence of black hole one member of a pair of virtualparticles may fall into the hole, leaving other member without a partner.
Where it appears to be as radiation emitted by the black hole.
Black holes andThermodynamics
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So as the black hole emits particles, its mass and size
steadily decreases.
Detailed calculations show that the emitted particle has
thermal spectrum corresponding to a temperature that
increases rapidly as the mass of the black hole decreases.
Black holes andThermodynamics
The emission will continue at an ever increasing rate until
eventually the black hole radiates itself out of existence.
So a primordial black hole should have almost completely
evaporated in the ten billion years that have elapsed since thebig bang, the beginning of the universe as we know it.
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Black holes andThermodynamics
The final stage of a
black hole would
proceed so rapidly
that it would end in
a tremendousexplosion.
Recently found star
explosion followed
by blackhole
explosion.
Animation by NASA.
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A black hole explosion would produce a massive outpouring of
high energy gamma rays.
Black holes andThermodynamics
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The big bang resembles a black hole explosion but on a vastly
larger scale.
So we hopes that an understanding of how black holes create
particles will lead to a similar understanding of how the big
bang created everything in the universe.
Black holes andThermodynamics
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Can a black hole bend light rays?
Einstein's theory of
general relativity
predicts that every
object bends light rays
through its gravity.
Light rays that pass a
little further away
don't get caught but do
get bent by the black
hole's gravity.
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Can a black hole bend light rays?
Light rays that pass close to the black hole get
caught and cannot escape.
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This makes the star field appear distorted, and alsoproduces multiple images which is called gravitational
lensing.
Can a black hole bend light rays?
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Since the particle emitted by a black hole come
from a region of which observer has very limited
knowledge.
We can predict is the probabilities that certain
particles will be emitted.
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THANK YOU!!
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A protostar is a large mass that forms by contraction out of the gas of a giant molecular
cloud in theinterstellar medium. The protostellar phase is anearly stage in the process of
star formation.
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Black holes andThermodynamics
P
rimordialblack
hole(hypothetical).
Primordial black
holes are of greatestinterest for
quantum effects.
These are formed
by the extremedensity of matter
present during the
universe's early
expansion.
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