A Causal Set Black Hole

Details A Causal Set Black Hole A Causal Set Black Hole

2008-11-26

arxiv.org/abs/0811.4235v2

Class.Quant.Grav. 26:125015, 2009.

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 9 figures, LaTeX; response to referee comments

Scientific paper

We explicitly compute the causal structure of the Schwarzschild black hole spacetime, by providing an algorithm to decide if any pair of events is causally related. The primary motivation for this study comes from discrete quantum gravity, in particular the causal set approach, in which the fundamental variables can be thought of as the causal ordering of randomly selected events in spacetime. This work opens the way to simulating non-conformally flat spacetimes within the causal set approach, which may allow one to study important questions such as black hole entropy and Hawking radiation on a full four dimensional causal set black hole.

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