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Charged Rotating Black Hole in 2D Fuzzy Sphere
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In this paper, we investigate the thermodynamics properties of black hole on the spacetime with noncommutative fuzzy geometry. We construct a new rotating black hole on fuzzy 2-sphere using a smeared distribution function as a magnetic charge. We calculate and compare the thermodynamics of this black hole with that of a standard rotating BTZ black hole.
AMS subject classification: 04.70.Dy, 04.70.-s, 05.70.-a.
Keywords
Noncommutativity, Black Hole, Fuzzy Space, Hawking Temperature, Entropy
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- C. Klimcik, P. Severa, Open Strings and D-branes in WZNW model, Nucl.Phys. B488 (1997) 653–676C.
- A.Yu. Alekseev, V. Schomerus, D-branes in the WZW model, Phys. Rev. D60:061901, 1999 arXiv: hep-th/9812193.
- Sandip P. Trivedi, Sachindeo Vaidya, Fuzzy Cosets and their Gravity Duals, JHEP 0009 (2000) 041.
- S. R. Das, S. P. Trivedi, S. Vaidya, Magnetic Moments of Branes and Giant Gravitons, JHEP 0010 (2000) 037.
- C. Bachas, M. Douglas and C. Schweigert, Brane dynamics in background and non-commutative geometry, JHEP 0005 (2000) 010 [hep-th/0003187].
- Pei-Ming Ho, Fuzzy Sphere from Matrix Model, JHEP 0012 (2000) 015 [hepth/ 0010165].
- K. Hashimoto and K. Krasnov, D-brane Solutions in Non-Commutative Gauge Theory on Fuzzy Sphere, Phys. Rev. D64(2001) 046007 [hep-th/0101145].
- S. Iso, Y. Kimura, K. Tanaka, and K. Wakatsuki, Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model, Nucl. Phys. 604(2001) 121 [hep-th/0101102].
- Oleg Lunin, Samir D. Mathur, The slowly rotating near extremal D1-D5 system as a 'hot tube', Nucl. Phys. B615 (2001) 285–312.
- Samir D. Mathur, The fuzzball proposal for black holes: an elementary review, Fortsch. Phys. 53 (2005) 793–827.
- S. D. Mathur, The quantum structure of black holes, Class. Quant. Grav. 23 (2006) R115, hep-th/0510180.
- W. Huang, Quantum Field, Thermodynamics and Black Hole on Coherent State Representation of Fuzzy Space arXiv:1003.1040v3[hep-th].
- Leonardo Modesto, Piero Nicolini, Charged rotating noncommutative black holes, Phys. Rev. D82: 104035, 2010.
- Kourosh Nozari, Siamak Akhshabi, Noncommutative Geometry Inspired Entropic Inflation, Phys. Lett. B700: 91–96, 2011.
- Thomas G. Rizzo, Noncommutative Inspired Black Holes in Extra Dimensions, JHEP 0609 (2006) 021.
- Piero Nicolini, Anais Smailagic, Euro Spallucci, Noncommutative geometry inspired Schwarzschild black hole, Phys. Lett. B632: 547–551, 2006.
- StefanoAnsoldi, Piero Nicolini,Anais Smailagic, Euro Spallucci, Noncommutative geometry inspired charged black holes, Phys. Lett. B645: 261–266, 2007.
- Euro Spallucci, Anais Smailagic, Piero Nicolini, Non-commutative geometry inspired higher-dimensional charged, black holes, Phys. Lett. B670: 449–454, 2009.
- Leonardo Modesto, Piero Nicolini, Charged rotating noncommutative black holes, Phys. Rev. D82:104035, 2010.
- J. M. Tejeiro and A. Larranaga,AThree-Dimensional Charged Black Hole Inspired by Non-Commutative Geometry, The journal for General Relativity, gravitation and cosmology, ISSN 1654–9163.
- Y. S. Myung and M. Yoon, Eur. Phys. J. C62, 405 (2009).
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