Conjectures In this section we summarize in a non rigorous way a set of theo

# Conjectures in this section we summarize in a non

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Conjectures In this section we summarize (in a non-rigorous way) a set of theo- rems and conjectures concerning black holes. Some we have already used in various contexts. · Singularity theorems: Loosely, any gravitational collapse that proceeds far enough results in a spacetime singularity. · Cosmic censorship conjecture: All spacetime singularities are hidden by event horizons ( no naked singularities ). · (Classical) area increase theorem: In all classical processes in- volving horizons, the area of the horizons can never decrease. · Second law of black hole thermodynamics: Where quantum me- chanics is important the classical area increase theorem is re- placed by 1. The entropy of a black hole is proportional to the surface area of its horizon. 2. The total entropy of the Universe can never decrease an any process.
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290 CHAPTER 11. LECTURE: SPHERICAL BLACK HOLES ·