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

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: Hindawi Limited 2017-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2017/7158697
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spelling doaj-98b20ea27fad43df8f4cd6e95b5a93072020-11-24T22:56:11ZengHindawi LimitedAdvances 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
collection DOAJ
language English
format Article
sources DOAJ
author S. H. Hendi
M. S. Talezadeh
Z. Armanfard
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
author_facet S. H. Hendi
M. S. Talezadeh
Z. Armanfard
author_sort S. H. Hendi
title 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_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_sort phase transition of black holes in brans–dicke born–infeld gravity through geometrical thermodynamics
publisher Hindawi Limited
series Advances in High Energy Physics
issn 1687-7357
1687-7365
publishDate 2017-01-01
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.
url http://dx.doi.org/10.1155/2017/7158697
work_keys_str_mv AT shhendi phasetransitionofblackholesinbransdickeborninfeldgravitythroughgeometricalthermodynamics
AT mstalezadeh phasetransitionofblackholesinbransdickeborninfeldgravitythroughgeometricalthermodynamics
AT zarmanfard phasetransitionofblackholesinbransdickeborninfeldgravitythroughgeometricalthermodynamics
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