Thermodynamics of a Rotating Black Hole in Conformal Gravity

Document Type : Regular article

Authors

1 Department of Physics, University of Guilan, 41335-1914, Rasht, Iran

2 Department of Physics, College of Sciences, Yasouj University, 75918-74934, Yasouj, Iran

Abstract

In this paper, we consider a metric of a rotating black hole in conformal gravity. We calculate the thermodynamical quantities for this rotating black hole including Hawking temperature and entropy in four-dimensional space-time, as we obtain the effective value of Komar angular momentum. The result is valid on the event horizon of the black hole and at any radial distance out of it. Also, we verify that the first law of thermodynamics will be held for this type of black hole.

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[1] J. M. Maldacena, The Large N limit of superconformal eld theories and supergravity, Adv. Theor. Math. Phys. 2, 231-252 (1998). DOI: 10.4310/ATMP.1998.v2.n2.a1
[2] L. Fabbri, Metric-Torsional Conformal Gravity, Phys. Lett. B 707, 415-417 (2012) DOI: 10.1016/j.physletb.2012.01.008
[3] P. D. Mannheim and D. Kazanas, Exact Vacuum Solution to Conformal Weyl Gravity and Galactic Rotation Curves, Astrophys. J. 342, 635-638 (1989). DOI:10.1086/167623
[4] L. Fabbri, Higher-Order Theories of Gravitation, [arXiv:0806.2610 [hep-th]] DOI:10.48550/arXiv.0806.2610
[5] Jacob D. Bekenstein, Black holes and the second law, Lett. Nuovo Cim. 4, 737-740 (1972). DOI: 10.1007/BF02757029
[6] J. M. Bardeen, B. Carter and S. W. Hawking, The Four laws of black hole mechanics, Commun. Math. Phys. 31, 161-170 (1973). DOI: 10.1007/BF01645742
[7] E. Chang-Young, M. Eune, K. Kimm and D. Lee, Surface gravity and Hawking temperature from entropic force viewpoint, Mod. Phys. Lett. A 25, 2825-2830 (2010). DOI: 10.1142/S0217732310033979
[8] R. M. Wald, The thermodynamics of black holes, Living Rev. Rel. 4, 6 (2001). DOI:10.12942/lrr-2001-6
[9] S. Dastan, A. Farokhtabar, M. A. Ganjali, B. Hosseini, Rotating Black Holes in Conformal Gravity, European Online Journal of Natural and Social Sciences, 3, 4, 892-896, (2014).
[10] P. D. Mannheim, Making the Case for Conformal Gravity, Found. Phys. 42, 388-420 (2012). DOI: 10.1007/s10701-011-9608-6
[11] H. S. Liu and H. Lu, Charged Rotating AdS Black Hole and Its Thermodynamics in Conformal Gravity, JHEP 02, 139 (2013). DOI:10.1007/JHEP02(2013)139
[12] O. Gron and S. Hervik, Einstein'sGeneral Theory of Relativity, (Springer Science and Business Media, LLC, New York, 2007).
[13] S. K. Modak and S. Samanta, Eective Values of Komar Conserved Quantities and Their Applications, Int. J. Theor. Phys. 51, 1416-1424 (2012). DOI: 10.1007/s10773-011-1017-2
[14] T. Frankel, The Geometry Of Physics An Introduction (Cambridge University Press 1997, 2004).
[15] J. M. Cohen and F. De Felice, The total eective mass of the KerrNewman metric, J. Math. Phys. 25, 992 (1984). DOI: 10.1063/1.526217
[16] J. M. Cohen and H. E. Moses, New Test of the Synchronization Procedure in Noninertial Systems, Phys. Rev. Lett. 39, 1641 (1977). DOI: 10.1103/PhysRevLett.39.1641
Volume 4, Issue 1
March 2024
Pages 83-91
  • Receive Date: 26 February 2024
  • Revise Date: 15 March 2024
  • Accept Date: 26 March 2024