Abstract
We find a new rotating black hole in three-dimensional anti-de Sitter space using an anisotropic perfect fluid inspired by the noncommutative black hole. We deduce the thermodynamical quantities of this black hole and compare them with those of a rotating BTZ solution and give corrections to the area law to get the exact nature of the Bekenstein-Hawking entropy.
Similar content being viewed by others
References
S W Hawking, Commun. Math. Phys. 43, 199 (1975)
L Susskind, Phys. Rev. Lett. 71, 2367 (1993)
E Witten, Nucl. Phys. B460, 335 (1996) N Seiberg and E Witten, J. High Energy Phys. 032, 9909 (1999)
A Smailagic and E Spallucci, J. Phys. A36, L467 (2003)
T G Rizzo, J. High Energy Phys. 09, 021 (2006)
P Nicolini, A Smailagic and E Spallucci, Phys. Lett. B632, 547 (2006)
S Ansoldi, P Nicolini, A Smailagic and E Spallucci, Phys. Lett. B645, 261 (2007)
E Spallucci, A Smailagic and P Nicolini, Phys. Lett. B670, 449 (2009), arXiv:0801.3519 [hep-th]
P Nicolini, arXiv:0807.1939[hep-th]
Y S Myung, Y W Kim and Y J Park, J. High Energy Phys. 0702, 012 (2007)
R Banerjee, B R Majhi and S Samanta, Phys. Rev. D77, 124035 (2008)
R Banerjee, B R Majhi and S K Modak, Class. Quant. Grav. 26, 085010 (2009)
K Nozari and S H Mehdipour, Class. Quant. Grav. 25, 175015 (2008)
M Banados, C Teitelboim and J Zanelli, J. Phys. Rev. Lett. 69, 1849 (1992)
M Banados, M Henneaux, C Teitelboim and J Zanelli, J. Phys. Rev. D48, 1506 (1993)
R Banerjee, S Gangopadhyay and S Kumar Modak, Phys. Lett. B686, 181 (2010)
Y S Myung and M Yoon, Eur. Phys. J. C62, 405 (2009)
J Sadeghi and M R Setare, Int. J. Theor. Phys. 46, 817 (2007)
Y W Kim, Y J Park, C Rim and J H Yee, J. High Energy Phys. 10, 060 (2008)
S K Modak, Phys. Lett. B671, 167 (2009)
T R Govindarajan, R K Kaul and V Suneeta, Class. Quant. Grav. 18, 2877 (2001)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
TEJEIRO, J.M., LARRAÑAGA, A. Noncommutative geometry-inspired rotating black hole in three dimensions. Pramana - J Phys 78, 155–164 (2012). https://doi.org/10.1007/s12043-011-0206-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12043-011-0206-0