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

Abhijit Mandal, Saurav Samanta, and Bibhas Ranjan Majhi
Phys. Rev. D 94, 064069 – Published 23 September 2016

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, which were calculated by taking explicit forms of different black hole spacetimes, are exactly the same. The reason for this universality is also explained. The implication of the analysis is that one does not need to investigate this problem case by case, as researchers are doing right now. We also observe that these values, except for two such quantities, are independent of the details of the spacetime dimensions.

  • Received 22 August 2016

DOI:https://doi.org/10.1103/PhysRevD.94.064069

© 2016 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsGravitation, Cosmology & Astrophysics

Authors & Affiliations

Abhijit Mandal1,*, Saurav Samanta2,†, and Bibhas Ranjan Majhi3,‡

  • 1Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India
  • 2Department of Physics, Narasinha Dutt College, 129, Belilious Road, Howrah 711101, India
  • 3Department of Physics, Indian Institute of Technology Guwahati, Guwahati 781039, Assam, India

  • *abhijitmandal.math@gmail.com
  • srvsmnt@gmail.com
  • bibhas.majhi@iitg.ernet.in

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Issue

Vol. 94, Iss. 6 — 15 September 2016

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