Thermodynamic Relations for Kiselev and Dilaton Black Hole

We investigate the thermodynamics and phase transition for Kiselev black hole and dilaton black hole. Specifically we consider Reissner-Nordström black hole surrounded by radiation and dust and Schwarzschild black hole surrounded by quintessence, as special cases of Kiselev solution. We have calcula...

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Main Authors: Bushra Majeed, Mubasher Jamil, Parthapratim Pradhan
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2015/124910
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author Bushra Majeed
Mubasher Jamil
Parthapratim Pradhan
author_facet Bushra Majeed
Mubasher Jamil
Parthapratim Pradhan
author_sort Bushra Majeed
collection DOAJ
description We investigate the thermodynamics and phase transition for Kiselev black hole and dilaton black hole. Specifically we consider Reissner-Nordström black hole surrounded by radiation and dust and Schwarzschild black hole surrounded by quintessence, as special cases of Kiselev solution. We have calculated the products relating the surface gravities, surface temperatures, Komar energies, areas, entropies, horizon radii, and the irreducible masses at the Cauchy and the event horizons. It is observed that the product of surface gravities, product of surface temperature, and product of Komar energies at the horizons are not universal quantities for the Kiselev solutions while products of areas and entropies at both the horizons are independent of mass of the above-mentioned black holes (except for Schwarzschild black hole surrounded by quintessence). For charged dilaton black hole, all the products vanish. The first law of thermodynamics is also verified for Kiselev solutions. Heat capacities are calculated and phase transitions are observed, under certain conditions.
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spelling doaj-art-fbb72a96160a425d83d4a8792d8faff12025-02-03T01:03:49ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/124910124910Thermodynamic Relations for Kiselev and Dilaton Black HoleBushra Majeed0Mubasher Jamil1Parthapratim Pradhan2School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad 44000, PakistanSchool of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad 44000, PakistanDepartment of Physics, Vivekananda Satavarshiki Mahavidyalaya, Vidyasagar University, Manikpara, Jhargram, West Midnapur, West Bengal 721513, IndiaWe investigate the thermodynamics and phase transition for Kiselev black hole and dilaton black hole. Specifically we consider Reissner-Nordström black hole surrounded by radiation and dust and Schwarzschild black hole surrounded by quintessence, as special cases of Kiselev solution. We have calculated the products relating the surface gravities, surface temperatures, Komar energies, areas, entropies, horizon radii, and the irreducible masses at the Cauchy and the event horizons. It is observed that the product of surface gravities, product of surface temperature, and product of Komar energies at the horizons are not universal quantities for the Kiselev solutions while products of areas and entropies at both the horizons are independent of mass of the above-mentioned black holes (except for Schwarzschild black hole surrounded by quintessence). For charged dilaton black hole, all the products vanish. The first law of thermodynamics is also verified for Kiselev solutions. Heat capacities are calculated and phase transitions are observed, under certain conditions.http://dx.doi.org/10.1155/2015/124910
spellingShingle Bushra Majeed
Mubasher Jamil
Parthapratim Pradhan
Thermodynamic Relations for Kiselev and Dilaton Black Hole
Advances in High Energy Physics
title Thermodynamic Relations for Kiselev and Dilaton Black Hole
title_full Thermodynamic Relations for Kiselev and Dilaton Black Hole
title_fullStr Thermodynamic Relations for Kiselev and Dilaton Black Hole
title_full_unstemmed Thermodynamic Relations for Kiselev and Dilaton Black Hole
title_short Thermodynamic Relations for Kiselev and Dilaton Black Hole
title_sort thermodynamic relations for kiselev and dilaton black hole
url http://dx.doi.org/10.1155/2015/124910
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AT mubasherjamil thermodynamicrelationsforkiselevanddilatonblackhole
AT parthapratimpradhan thermodynamicrelationsforkiselevanddilatonblackhole