Replica Trick Calculation for Entanglement Entropy of Static Black Hole Spacetimes
Abstract
We calculate the entanglement entropy between two (maximally-extended) spacetime regions of static black hole, seperated by horizon. As a first case, we consider the Schwarzschild black hole, and then we extend the calculations to the charged Reissner- Nordstrom and Schwarzschild-de Sitter black holes with more than one horizon. The case for static and spherically-symmetric solution to the more general F (R) gravity is also considered. The calculation of the entanglement entropy is performed using the replica trick by obtaining the explicit form of the metric which corresponds to the replica spacetime for each black hole under consideration. The calculation of static and spherically-symmetric black holes result in the entanglement entropy that matches the Bekenstein-Hawking area law entropy.
Keywords
Cite
@article{arxiv.2208.01829,
title = {Replica Trick Calculation for Entanglement Entropy of Static Black Hole Spacetimes},
author = {Hadyan Luthfan Prihadi and Freddy Permana Zen and Seramika Ariwahjoedi and Donny Dwiputra},
journal= {arXiv preprint arXiv:2208.01829},
year = {2023}
}
Comments
41 pages, 12 figures, minor revision, accepted for publication in International Journal of Geometric Methods in Modern Physics