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Circular orbit of a test particle and phase transition of a black hole

Ming Zhang, Shan-Zhong Han, Jie Jiang, and Wen-Biao Liu
Phys. Rev. D 99, 065016 – Published 28 March 2019

Abstract

The radius of the circular orbit for the timelike or lightlike test particle in a background of general spherically symmetric spacetime is viewed as a characterized quantity for the thermodynamic phase transition of the corresponding black hole. We generally show that the phase transition information of a black hole can be reflected by its surrounding particle’s circular orbit.

  • Figure
  • Figure
  • Received 26 December 2018

DOI:https://doi.org/10.1103/PhysRevD.99.065016

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Ming Zhang*, Shan-Zhong Han, Jie Jiang, and Wen-Biao Liu§

  • Department of Physics, Beijing Normal University, Beijing 100875, China

  • *mingzhang@mail.bnu.edu.cn Also at Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.
  • szh@mail.bnu.edu.cn Also at Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
  • jiejiang@mail.bnu.edu.cn
  • §wbliu@bnu.edu.cn

Article Text

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Issue

Vol. 99, Iss. 6 — 15 March 2019

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Images

  • Figure 1
    Figure 1

    The event horizon rh of the black hole in terms of the radius ri of ISCO for the particle with Q=1 and (a) l=675/(4π)<lc, (b) l=6=lc, (c) l=53/(2π)>lc.

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  • Figure 2
    Figure 2

    The temperature T of the black hole in terms of the event horizon rh and the radius of ISCO ri for the particle respectively with Q=1 and (a) l=675/(4π)<lc, (b) l=6=lc, (c) l=53/(2π)>lc.

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