Consistent derivation of the Hawking effect for both nonextremal and extremal Kerr black holes

Subhajit Barman and Golam Mortuza Hossain
Phys. Rev. D 99, 065010 – Published 19 March 2019

Abstract

It is believed that extremal black holes do not emit Hawking radiation as understood by taking extremal limits of nonextremal black holes. However, it is debated whether one can make such a conclusion reliably starting from an extremal black hole, as the associated Bogoliubov coefficients which relate ingoing and outgoing field modes do not satisfy the required consistency condition. We address this issue in a canonical approach first by presenting an exact canonical derivation of the Hawking effect for nonextremal Kerr black holes. Subsequently, for extremal Kerr black holes, we show that the required consistency condition is satisfied in the canonical derivation and it produces zero number density for Hawking particles. We also point out the reason behind the reported failure of Bogoliubov coefficients to satisfy the required condition.

  • Figure
  • Received 3 October 2018

DOI:https://doi.org/10.1103/PhysRevD.99.065010

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsParticles & Fields

Authors & Affiliations

Subhajit Barman* and Golam Mortuza Hossain

  • Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur 741 246, WB, India

  • *sb12ip007@iiserkol.ac.in
  • ghossain@iiserkol.ac.in

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Issue

Vol. 99, Iss. 6 — 15 March 2019

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