Abstract
We study the Hawking radiation of spin-1 particles (so-called vector particles) from a three-dimensional rotating black hole with scalar hair using a Hamilton–Jacobi ansatz. Using the Proca equation in the WKB approximation, we obtain the tunneling spectrum of vector particles. We recover the standard Hawking temperature corresponding to the emission of these particles from a rotating black hole with scalar hair.
Similar content being viewed by others
References
S. W. Hawking, Commun. Math. Phys. 43, 199 (1975)
S. W. Hawking, Commun. Math. Phys. 46, 206 (1976).
S. W. Hawking, Nature (London) 248, 30 (1974).
G. W. Gibbons and S. W. Hawking, Phys. Rev. D: Part. Fields 15, 2738 (1977).
J. D. Bekenstein, Phys. Rev. D: Part. Fields 7, 2333 (1973).
T. Damour and R. Ruffini, Phys. Rev. D: Part. Fields 14, 332 (1976).
W. G. Unruh, Phys. Rev. D: Part. Fields 51, 2827 (1995).
R. Brout, S. Massar, R. Parentani, and Ph. Spindel, Phys. Rev. D: Part. Fields 52, 4559 (1995).
P. Kraus and F. Wilczek, Nucl. Phys. B 437, 231 (1995).
S. Corley and T. Jacobson, Phys. Rev. D: Part. Fields 54, 1568 (1996).
S. Corley and T. Jacobson, Phys. Rev. D: Part. Fields 57, 6269 (1998).
M. Visser, Phys. Rev. Lett. 80, 3436 (1998).
K. Srinivasan and T. Padmanabhan, Phys. Rev. D: Part. Fields 60, 24007 (1999).
M. K. Parikh and F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000).
M. Visser, Int. J. Mod. Phys. D 12, 649 (2003).
C. Kiefer, J. Muller-Hill, T. P. Singh, and C. Vaz, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 75, 124010 (2007).
R. M. Wald, Living Rev. Relativ. 4, 6 (2001).
D. N. Page, New J. Phys. 7, 203 (2005).
E. T. Akhmedov, T. Pilling, and D. Singleton, Int. J. Mod. Phys. D 17, 2453 (2008).
R. Banerjee and B. R. Majhi, Phys. Lett. B 675, 243 (2009).
B. Zhang, Q. Y. Cai, M. S. Zhan, and L. You, Ann. Phys. 326, 350 (2011).
I. Sakalli, M. Halilsoy, and H. Pasaoglu, Int. J. Theor. Phys. 50, 3212 (2011).
L. Vanzo, G. Acquaviva, and R. Di Criscienzo, Classical Quantum Gravity 28, 183001 (2011).
I. Sakalli, M. Halilsoy, and H. Pasaoglu, Astrophys. Space Sci. 340, 155 (2012).
D. N. Page, J. Cosmol. Astropart. Phys. 09, 028 (2013).
I. Sakalli, A. Ovgun, and S. F. Mirekhtiary, Int. J. Geom. Meth. Mod. Phys. 11, 1450074 (2014).
S. K. Modak, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 90, 044015 (2014).
S. W. Hawking, arXiv:hep-th/1401.5761v1.
S. I. Kruglov, Mod. Phys. Lett. A 29, 1450203 (2014).
S. I. Kruglov, Int. J. Mod. Phys. A 29, 1450118 (2014).
R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw Hill, New York, 1965).
R. Oerter, The Theory of Almost Everything: The Standard Model, the Unsung Triumph of Modern Physics (Plume, New York, 2006).
G. R. Chen, S. Zhou, and Y. C. Huang, Int. J. Mod. Phys. D 24, 1550005 (2015).
W. Xu and L. Zhao, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 87, 124008 (2013).
L. Zhao, W. Xu, and B. Zhu, Commun. Theor. Phys. 61, 475 (2014).
D. C. Zou, Y. Liu, B. Wang, and W. Xu, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 90, 104035 (2014).
A. Belhaj, M. Chabab, H. El Moumni, K. Masmar, and M. B. Sedra, Int. J. Geom. Meth. Mod. Phys. 12, 1550017 (2015).
M. Banados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Sakalli, I., Ovgun, A. Hawking radiation of spin-1 particles from a three-dimensional rotating hairy black hole. J. Exp. Theor. Phys. 121, 404–407 (2015). https://doi.org/10.1134/S1063776115090113
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776115090113