Thermodynamic Analysis of the Static Spherically Symmetric Field Equations in Rastall Theory

The restrictions on the Rastall theory due to application of the Newtonian limit to the theory are derived. In addition, we use the zero-zero component of the Rastall field equations as well as the unified first law of thermodynamics to find the Misner-Sharp mass content confined to the event horizo...

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Main Authors: Hooman Moradpour, Ines G. Salako
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2016/3492796
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author Hooman Moradpour
Ines G. Salako
author_facet Hooman Moradpour
Ines G. Salako
author_sort Hooman Moradpour
collection DOAJ
description The restrictions on the Rastall theory due to application of the Newtonian limit to the theory are derived. In addition, we use the zero-zero component of the Rastall field equations as well as the unified first law of thermodynamics to find the Misner-Sharp mass content confined to the event horizon of the spherically symmetric static spacetimes in the Rastall framework. The obtained relation is calculated for the Schwarzschild and de-Sitter back holes as two examples. Bearing the obtained relation for the Misner-Sharp mass in mind together with recasting the one-one component of the Rastall field equations into the form of the first law of thermodynamics, we obtain expressions for the horizon entropy and the work term. Finally, we also compare the thermodynamic quantities of system, including energy, entropy, and work, with their counterparts in the Einstein framework to have a better view about the role of the Rastall hypothesis on the thermodynamics of system.
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spelling doaj-art-d0fc994ca08b463bbd889a8b75d288972025-02-03T06:05:11ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/34927963492796Thermodynamic Analysis of the Static Spherically Symmetric Field Equations in Rastall TheoryHooman Moradpour0Ines G. Salako1Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, IranAfrican Institute for Mathematical Sciences (AIMS), 6 Melrose Road, Muizenberg 7945, South AfricaThe restrictions on the Rastall theory due to application of the Newtonian limit to the theory are derived. In addition, we use the zero-zero component of the Rastall field equations as well as the unified first law of thermodynamics to find the Misner-Sharp mass content confined to the event horizon of the spherically symmetric static spacetimes in the Rastall framework. The obtained relation is calculated for the Schwarzschild and de-Sitter back holes as two examples. Bearing the obtained relation for the Misner-Sharp mass in mind together with recasting the one-one component of the Rastall field equations into the form of the first law of thermodynamics, we obtain expressions for the horizon entropy and the work term. Finally, we also compare the thermodynamic quantities of system, including energy, entropy, and work, with their counterparts in the Einstein framework to have a better view about the role of the Rastall hypothesis on the thermodynamics of system.http://dx.doi.org/10.1155/2016/3492796
spellingShingle Hooman Moradpour
Ines G. Salako
Thermodynamic Analysis of the Static Spherically Symmetric Field Equations in Rastall Theory
Advances in High Energy Physics
title Thermodynamic Analysis of the Static Spherically Symmetric Field Equations in Rastall Theory
title_full Thermodynamic Analysis of the Static Spherically Symmetric Field Equations in Rastall Theory
title_fullStr Thermodynamic Analysis of the Static Spherically Symmetric Field Equations in Rastall Theory
title_full_unstemmed Thermodynamic Analysis of the Static Spherically Symmetric Field Equations in Rastall Theory
title_short Thermodynamic Analysis of the Static Spherically Symmetric Field Equations in Rastall Theory
title_sort thermodynamic analysis of the static spherically symmetric field equations in rastall theory
url http://dx.doi.org/10.1155/2016/3492796
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AT inesgsalako thermodynamicanalysisofthestaticsphericallysymmetricfieldequationsinrastalltheory