On horizon constraints and Hawking radiation

Details On horizon constraints and Hawking radiation On horizon constraints and Hawking radiation

2006-01-11

arxiv.org/abs/gr-qc/0601044v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

Questions about black holes in quantum gravity generally presuppose the presence of a horizon. Recently Carlip has shown that enforcing an initial data surface to be a horizon leads to the correct form for the Bekenstein-Hawking entropy of the black hole. Requiring a horizon also constitutes fixed background geometry, which generically leads to non-conservation of the matter stress tensor at the horizon. In this work, I show that the generated matter energy flux for a Schwarzschild black hole is in agreement with the first law of black hole thermodynamics, $8 \pi G \Delta Q = \kappa \Delta A$.

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