Replica Trick Calculation for Entanglement Entropy of Static Black Hole Spacetimes
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 hol...
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| creator | Prihadi, Hadyan Luthfan Freddy Permana Zen Ariwahjoedi, Seramika Dwiputra, Donny |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2208.01829 |
| format | Article |
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| subjects | Black holes Entanglement Entropy Horizon Mathematical analysis Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory Relativity |
| title | Replica Trick Calculation for Entanglement Entropy of Static Black Hole Spacetimes |
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