English

Phase transition and critical phenomena of black holes: A general approach

General Relativity and Quantum Cosmology 2016-09-28 v2 High Energy Physics - Theory

Abstract

We present a general framework to study the phase transition of a black hole. Assuming that there is a phase transition, it is shown that without invoking any specific black hole, the critical exponents and the scaling powers can be obtained. We find that the values are exactly same which were calculated by taking explicit forms of different black hole spacetimes. The reason for this universality is also explained. The implication of the analysis is -- one does not need to investigate this problem case by case, what the people are doing right now. We also observe that these, except two such quantities, are independent of the details of the spacetime dimensions.

Keywords

Cite

@article{arxiv.1608.04176,
  title  = {Phase transition and critical phenomena of black holes: A general approach},
  author = {Abhijit Mandal and Saurav Samanta and Bibhas Ranjan Majhi},
  journal= {arXiv preprint arXiv:1608.04176},
  year   = {2016}
}

Comments

Refs added, to appear in Phys. Rev. D