Anti-de-Sitter Schwarzschild Black Hole in Fuzzy Space

Mourad Nach; EL Boukili Abdellah; Sedra Moulay Brahim; EL Boukili Abderrahman

doi:10.14419/ijbas.v2i1.619

Authors and Affiliations

Mourad Nach Université Ibn Tofail, Faculté des Sciences, Département de Physique, Laboratoire des Hautes energies, Sciences de l'Ingénierie et Réacteurs (LHESIR), Kénitra, Morocco
EL Boukili Abdellah Mohamed V university, Faculty of Sciences Agdal, (LECA), Rabat, Morocco
Sedra Moulay Brahim Université Ibn Tofail, Faculté des Sciences, Département de Physique, Laboratoire des Hautes energies, Sciences de l'Ingénierie et Réacteurs (LHESIR), Kénitra, Morocco
EL Boukili Abderrahman Université Ibn Tofail, Faculté des Sciences, Département de Physique, Laboratoire des Hautes energies, Sciences de l'Ingénierie et Réacteurs (LHESIR), Kénitra, Morocco

About this article

DOI: https://doi.org/10.14419/ijbas.v2i1.619
Received: 2012-12-28
Accepted: 2013-01-17
Published: 2013-01-26
Views: 644
Downloads: 318

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Abstract

In this paper we focus on the metric of an Anti-de-Sitter Schwarzschild black hole in fuzzy space with an exponential decay function as Mass density of the point particle. Given the metric and assuming that the fuzzy space parameter h is small, we study the horizon, the area spectrum and the Hawking temperature of the AdS-Schwarzschild black hole.

Author Biographies

Mourad Nach, Université Ibn Tofail, Faculté des Sciences, Département de Physique, Laboratoire des Hautes energies, Sciences de l'Ingénierie et Réacteurs (LHESIR), Kénitra, Morocco
EL Boukili Abdellah, Mohamed V university, Faculty of Sciences Agdal, (LECA), Rabat, Morocco
Sedra Moulay Brahim, Université Ibn Tofail, Faculté des Sciences, Département de Physique, Laboratoire des Hautes energies, Sciences de l'Ingénierie et Réacteurs (LHESIR), Kénitra, Morocco
EL Boukili Abderrahman, Université Ibn Tofail, Faculté des Sciences, Département de Physique, Laboratoire des Hautes energies, Sciences de l'Ingénierie et Réacteurs (LHESIR), Kénitra, Morocco

References

[1] B. Shutz, A ﬁrst course in general relativity, Cambridge university press, 1990.

[2] S . Chandrasekhar, The mathematical theory of black holes, Oxford university press, 1993.

[3] T.R. Govindarajan, V. Suneeta, S. Vaidya, Horizon States for AdS Black Holes, Nucl.Phys. B 583 (2000) 291-303

[4] Per Kraus, Hirosi Ooguri, Stephen Shenker, Inside the Horizon with AdS/CFT, Phys.Rev.D67:124022,2003;

Yen Chin Ong, Pisin Chen, Stringy Stability of Charged Dilaton Black Holes with Flat Event Horizon, Journal of High Energy Physics, 2012, Volume 2012, Number 8, 79.

View more references (7)

[5] S. W. Hawking and Don N. Page, Thermodynamics of Black Holes in Anti-de Sitter Space, Commun. Math. Phys. 87,577-588(1983)

[6] W. Huang, Quantum Field, Thermodynamics and Black Hole on Coherent State Representation of Fuzzy Space, arXiv:1003.1040 [hep-th]; Tom Banks, John Kehayias, Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic Space-time and Matrix Theory, Phys. Rev. D 84, 086008 (2011)

[7] Piero Nicolini, Anais Smailagic, Euro Spallucci, Noncommutative geometry inspired Schwarzschild black hole, Phys.Lett.B632:547-551,2006;

[8] Stefano Ansoldi, Piero Nicolini, Anais Smailagic, Euro Spallucci, Noncommutative geometry inspired charged black holes, Phys.Lett.B645:261-266,2007;

[9] Euro Spallucci, Anais Smailagic, Piero Nicolini, Noncommutative geometry inspired higher-dimensional charged, black holes, Phys.Lett.B670:449-454,2009

[10] Samuli Hemming, Larus Thorlacius, Thermodynamics of Large AdS Black Holes, JHEP 0711:086,2007

[11] Mariano Cadoni, Statistical entropy of the Schwarzschild black hole, Mod.Phys.Lett. A21 (2006) 1879-1888

How to Cite

Nach, M., Abdellah, E. B., Moulay Brahim, S., & Abderrahman, E. B. (2013). Anti-de-Sitter Schwarzschild Black Hole in Fuzzy Space. International Journal of Basic and Applied Sciences, 2(1), 87-90. https://doi.org/10.14419/ijbas.v2i1.619

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