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Kruskal-Szekeles metric: what can you see as you fall into a black hole?
Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 15; Problem 15.4. The Kruskal-Szekeres (KS) metric is an alternative to the Schwarzschild (S)...
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Kruskal-Szekeres diagrams: saving a space shuttle
Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 15; Problems 15.7 15.9. In this example (Moore, problem P15.9), we have a spaceship maintaining a...
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Kruskal-Szekeres diagrams: another space ship disaster
Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 15; Problem 15.8. In this example, we have a spaceship originally at some fixed distance from a...
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Black hole radiation: energy of emitted particles
Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 16; Box 16.1. In Schwarzschild (S) space-time, the energy of a particleis given by Outside the...
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Black hole heat engine
Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 16; Problem P16.4. According to thermodynamics, a heat engine is a device that absorbs heat energy...
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Black hole temperatures at different distances
Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 16; Problem P16.5. We’ve seen that a temperature can be defined for a black hole that radiates...
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Black hole in equilibrium with a thermal reservoir
Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 16; Problem P16.8. The entropy of a black hole is given by Given that the entopy of a thermal...
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Falling into a black hole: tidal forces
Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 19; Problem P19.9. Using the Riemann tensor, we can get an idea of the force felt by someone...
View ArticleBlack hole with static charge; Reissner-Nordström solution
Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 23; Problem 23.4. The derivation of the Schwarzschild metric can be enhanced to include a source,...
View ArticleTemperature of a black hole
Reference: Daniel V. Schroeder, An Introduction to Thermal Physics, (Addison-Wesley, 2000) – Problem 3.7. The entropy of a black hole is Taking as the energy of a black hole, we can write this as The...
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