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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