Extended quasilocal Thermodynamics of Schwarzchild-anti de Sitter black holes

TL;DR

This paper extends the thermodynamic description of Schwarzschild-anti de Sitter black holes using a Hamiltonian approach, incorporating the cosmological constant into the phase space, leading to new equations of state and potential novel phenomena.

Contribution

It introduces a homogeneous and quasilocal thermodynamic framework for Schwarzschild-AdS black holes with a Hamiltonian approach including the cosmological constant.

Findings

Consistent extension of black hole thermodynamics laws.

Development of new equations of state for Schwarzschild-AdS black holes.

Potential emergence of novel thermodynamic phenomena.

Abstract

In this work we study a homogeneous and quasilocal Thermodynamics associated to the Schwarzschild-anti de Sitter black hole. The usual thermodynamic description is extended within a Hamiltonian approach with the introduction of the cosmological constant in the thermodynamic phase space. The treatment presented is consistent in as much as it respects the laws of black hole Thermodynamics and accepts the introduction of any thermodynamic potential. We are able to construct new equations of state that characterize the Thermodynamics. Novel phenomena can be expected from the proposed setup.