Can I read Black Hole Thermodynamics from an Ensemble-averaged Theory on EtoBox?

Black Hole Thermodynamics from an Ensemble-averaged Theory by Cheng, Peng; Liu, Yu-Xiao; Wei, Shao-Wen is a scholarly article available to read on EtoBox.

What is Black Hole Thermodynamics from an Ensemble-averaged Theory about?

The path integral approach to a quantum theory of gravity is widely regarded as an indispensable strategy. However, determining what additional elements, beyond black hole or AdS spacetime, should be incorporated into the path integral remains crucial yet perplexing. We argue that the spacetime with a conical singularity in its Euclidean counterpart should be the most important ingredient to append to the path integral. Therefore, physical quantities should be ensemble-averaged over all geometries since they are described by the same Lorentzian metric. When the ensemble average is introduced, the Hawking-Page transition for the Schwarzschild-AdS black hole and the small-large black hole transition for the Reissner-Nordstr\"{o}m-AdS black hole naturally arise as semi-classical approximations, when the size of the black hole system is much larger than the Planck length. Away from the semi-classical limit, the system is a superposition of different geometries, and the averaged quantities would deviate from the black hole thermodynamics. Expanding around the classical saddles, the subleading order of the Newton constant contributions can be derived, which are half of the Hawking temper

Author

Cheng, Peng; Liu, Yu-Xiao; Wei, Shao-Wen

Published

2024

Language

EN