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Black HolesGuiding QuestionsThe special theory of relativity changes our conceptions of space and timeAn observer will note a slowing of clocks and a shortening of rulers that are moving with respect to the observerThe speed of light is the same to all observers, no matter how fast they are movingThe general theory of relativity is our most accurate description of gravitationSlide 7Slide 8Slide 9The general theory of relativity predicts black holesSlide 11Slide 12Slide 13Slide 14Certain binary star systems probably contain black holesSlide 16Slide 17Slide 18Supermassive black holes exist at the centers of most galaxiesA nonrotating black hole has only a “center” and a “surface”Just three numbers completely describe the structure of a black holeSlide 22Falling into a black hole is an infinite voyageSlide 24Black holes evaporateKey WordsBlack HolesChapter Twenty-FourGuiding Questions1. What are the two central ideas behind Einstein’s special theory of relativity?2. How do astronomers search for black holes?3. What are super massive black holes, and where are they found?4. In what sense is a black hole “black”?5. In what way are black holes actually simpler than any other objects in astronomy?6. What happens to an object that falls into a black hole?7. Why do some pulsars emit fantastic amounts of X rays?8. Do black holes last forever?The special theory of relativity changes ourconceptions of space and time•This theory, published by Einstein in 1905, is based on the notion that there is no such thing as absolute space or time•Space and time are not wholly independent of each other, but are aspects of a single entity called spacetimeAn observer will note a slowing of clocks and a shortening of rulers that are moving with respect to the observerThis effect becomes significant only if the clock or ruler is moving at a substantial fraction of the speed of lightThe speed of light is the same to all observers, no matter how fast they are movingThe general theory of relativity is our most accurate description of gravitation•Published by Einstein in 1915, this is a theory of gravity•A massive object causes space to curve and time to slow down•These effects manifest themselves as a gravitational force•These distortions of space and time are most noticeable in the vicinity of large masses or compact objectsThe theory of relativity predicts a number of phenomena, including the bending of light by gravity and the gravitational redshift, whose existence has been confirmed by observation and experiment•The general theory of relativity also predicts the existence of gravitational waves, which are ripples in the overall geometry of space and time produced by moving masses•Gravitational waves have been detected indirectly, and specialized antennas are under construction to make direct measurement of the gravitational waves from cosmic cataclysmsThe general theory of relativity predicts black holes•If a stellar corpse has a mass greater than about 2 to 3 M, gravitational compression will overwhelm any and all forms of internal pressure•The stellar corpse will collapse to such a high density that its escape speed exceeds the speed of lightCertain binary star systems probably containblack holes•Black holes have been detected using indirect methods•Some binary star systems contain a black hole•In such a system, gases captured from the companion star by the black hole emit detectable X raysSupermassive black holes exist at the centersof most galaxiesThese are detected by observing the motions of material around the black holeA nonrotating black hole has only a “center”and a “surface”•The entire mass of a black hole is concentrated in an infinitely dense singularity•The singularity is surrounded by a surface called the event horizon, where the escape speed equals the speed of light•Nothing—not even light—can escape from inside the event horizonJust three numbers completely describethe structure of a black hole•A black hole has only three physical properties: mass, electric charge, and angular momentum •A rotating black hole (one with angular momentum) has an ergoregion around the outside of the event horizon•In the ergoregion, space and time themselves are dragged along with the rotation of the black holeFalling into a black hole is an infinite voyage•Could a black hole somehow be connected to another part of spacetime, or even some other universe?•General relativity predicts that such connections, called wormholes, can exist for rotating black holesBlack holes evaporateKey Words•black hole•black hole evaporation•equivalence principle•ergoregion•event horizon•general theory of relativity•gravitational radiation•gravitational waves•gravitational redshift•Heisenberg uncertainty principle•law of cosmic censorship•length contraction•Lorentz transformations•mid-mass black hole•no-hair theorem•primordial black hole•proper length (proper distance)•proper time•Schwarzschild radius (RSch)•singularity•spacetime•special theory of relativity•stellar-mass black hole•supermassive black hole•time dilation•virtual


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MASON ASTR 113 - Black Holes

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