Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical Thermodynamics

Using the geometrical thermodynamic approach, we study phase transition of Brans–Dicke Born–Infeld black holes. We apply introduced methods and describe their shortcomings. We also use the recently proposed new method and compare its results with those of canonical ensemble. By considering the new m...

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Main Authors: S. H. Hendi, M. S. Talezadeh, Z. Armanfard
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2017/7158697
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author S. H. Hendi
M. S. Talezadeh
Z. Armanfard
author_facet S. H. Hendi
M. S. Talezadeh
Z. Armanfard
author_sort S. H. Hendi
collection DOAJ
description Using the geometrical thermodynamic approach, we study phase transition of Brans–Dicke Born–Infeld black holes. We apply introduced methods and describe their shortcomings. We also use the recently proposed new method and compare its results with those of canonical ensemble. By considering the new method, we find that its Ricci scalar diverges in the places of phase transition and bound points. We also show that the bound point can be distinguished from the phase transition points through the sign of thermodynamical Ricci scalar around its divergencies.
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institution Kabale University
issn 1687-7357
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language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Advances in High Energy Physics
spelling doaj-art-98b20ea27fad43df8f4cd6e95b5a93072025-02-03T01:10:31ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/71586977158697Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical ThermodynamicsS. H. Hendi0M. S. Talezadeh1Z. Armanfard2Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, IranPhysics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, IranPhysics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, IranUsing the geometrical thermodynamic approach, we study phase transition of Brans–Dicke Born–Infeld black holes. We apply introduced methods and describe their shortcomings. We also use the recently proposed new method and compare its results with those of canonical ensemble. By considering the new method, we find that its Ricci scalar diverges in the places of phase transition and bound points. We also show that the bound point can be distinguished from the phase transition points through the sign of thermodynamical Ricci scalar around its divergencies.http://dx.doi.org/10.1155/2017/7158697
spellingShingle S. H. Hendi
M. S. Talezadeh
Z. Armanfard
Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical Thermodynamics
Advances in High Energy Physics
title Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical Thermodynamics
title_full Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical Thermodynamics
title_fullStr Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical Thermodynamics
title_full_unstemmed Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical Thermodynamics
title_short Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical Thermodynamics
title_sort phase transition of black holes in brans dicke born infeld gravity through geometrical thermodynamics
url http://dx.doi.org/10.1155/2017/7158697
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AT mstalezadeh phasetransitionofblackholesinbransdickeborninfeldgravitythroughgeometricalthermodynamics
AT zarmanfard phasetransitionofblackholesinbransdickeborninfeldgravitythroughgeometricalthermodynamics