Thermodynamics of AdS planar black holes and holography
Neven Bilic, Julio C. Fabris
TL;DR
This paper investigates the thermodynamics of AdS planar black holes, proposing a method to define their temperature via the entropy area law and establishing a holographic relationship with large AdS Schwarzschild black holes.
Contribution
It introduces a new approach to define the temperature of AdS planar black holes and relates it to Schwarzschild black holes through holography.
Findings
Temperature of planar black holes can be fixed using the entropy area law
A holographic relationship between planar and Schwarzschild black hole temperatures is established
Provides a framework for understanding black hole thermodynamics in AdS/CFT context
Abstract
A large AdS Schwarzschild black hole can be approximated by an AdS planar black hole. However, the temperature of a planar black hole is not well defined due to the translational invariance of the horizon. We propose to fix this arbitrariness by imposing the entropy area law. Furthermore, using the AdS/CFT holography, we propose a relationship between the temperatures of an AdS planar and large AdS Schwarzschild black holes.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Astrophysical Phenomena and Observations