Schwarzschild black hole states and entropies on a nice slice
Abstract
In this work, we define a quantum gravity state on a nice slice. The nice slices provide a foliation of spacetime and avoid regions of strong curvature. We explore the topology and the geometry of the manifold obtained from a nice slice after evolving it in complex time. We compute its associated semiclassical thermodynamics entropy for a 4d Schwarzschild black hole. Despite the state one can define on a nice slice is not a global pure state, remarkably, we get a similar result to Hawking's calculation. In the end, we discuss the entanglement entropy of two segments on a nice slice and comment on the relation of this work with the replica wormhole calculation.
Keywords
Cite
@article{arxiv.2009.04161,
title = {Schwarzschild black hole states and entropies on a nice slice},
author = {J. A. Rosabal},
journal= {arXiv preprint arXiv:2009.04161},
year = {2021}
}
Comments
37 pages, 19 figures, minor changes, references added, Updated to match the published version in EPJC