P-V criticality of AdS black holes in a general framework

In black hole thermodynamics, it has been observed that AdS black holes behave as van der Waals system if one interprets the cosmological constant as a pressure term. Also the critical exponents for the phase transition of AdS black holes and the van der Waals systems are same. Till now this type of...

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Bibliographic Details
Published in:arXiv.org 2017-08
Main Authors: Majhi, Bibhas Ranjan, Samanta, Saurav
Format: Article
Language:English
Subjects:
Black holes
Cosmological constant
Critical point
Energy conservation law
Exponents
Phase transitions
Thermodynamics
Online Access:Get full text
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Summary:In black hole thermodynamics, it has been observed that AdS black holes behave as van der Waals system if one interprets the cosmological constant as a pressure term. Also the critical exponents for the phase transition of AdS black holes and the van der Waals systems are same. Till now this type of analysis is done by two steps. In the first step one shows that a particular metric allows phase transition and in the second step, using this information, one calculates the exponents. Here, we present a different approach based on two universal inputs (the general forms of the Smarr formula and the first law of thermodynamics) and one assumption regarding the existence of van der Waal like critical point for a metric. We find that the same values of the critical exponents can be obtained by this approach. Thus we demonstrate that, though the existence of van der Waal like phase transition depends on specific metrics, the values of critical exponents are then fixed for that set of metrics.
ISSN:2331-8422
DOI:10.48550/arxiv.1609.06224