Entropy in three-dimensional general relativity: Kerr-AdS black hole
Milutin Blagojevi\'c, Branislav Cvetkovi\'c
TL;DR
This paper analyzes the thermodynamics of three-dimensional Kerr-AdS black holes using Hamiltonian methods, confirming that conserved charges and entropy satisfy the first law of black hole dynamics.
Contribution
It provides a Hamiltonian framework for black hole thermodynamics in 3D Kerr-AdS spacetime, ensuring proper treatment of asymptotic conditions and validating the first law.
Findings
Conserved charges and entropy satisfy the first law.
Proper treatment of AdS asymptotics is crucial.
Hamiltonian approach confirms thermodynamic consistency.
Abstract
Black hole thermodynamics of the Kerr-AdS spacetime in three-dimensional general relativity is analyzed using a Hamiltonian approach. The values of the conserved charges and entropy, obtained by a proper treatment of the AdS asymptotic conditions, are shown to satisfy the first law of black hole dynamics.
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