A Causal Set Black Hole
arXiv:0811.4235 · doi:10.1088/0264-9381/26/12/125015
Abstract
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.
22 pages, 9 figures, LaTeX; response to referee comments
References in corpus (8)
- The causal set approach to quantum gravity
- Particle propagators on discrete spacetime
- On Recovering Continuum Topology from a Causal Set
- Stable Homology as an Indicator of Manifoldlikeness in Causal Set Theory
- Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation
- Evidence for an entropy bound from fundamentally discrete gravity
- A numerical study of the correspondence between paths in a causal set and geodesics in the continuum
- Discrete spacetime and its applications