https://doi.org/10.1140/epjc/s10052-020-08742-w
Regular Article – Theoretical Physics
Schwarzschild black hole states and entropies on a nice slice
Asia Pacific Center for Theoretical Physics, 37673, Postech, Pohang, Korea
a
j.alejandro.rosabal@gmail.com
Received:
15
October
2020
Accepted:
8
December
2020
Published online:
21
December
2020
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.
© The Author(s) 2020
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