Extended thermodynamic analysis of a charged Horndeski black hole

We perform the thermodynamic analysis of a charged Horndeski black hole (CHB) with mass m and charge q obtained from the Einstein-Horndeski-Maxwell theory. There are two solution branches: one is for the CHB and the other is for the naked singularity (NS). Thermodynamic behavior for the CHB is simil...

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Main Author: Yun Soo Myung
Format: Article
Language:English
Published: Elsevier 2025-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325002849
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author Yun Soo Myung
author_facet Yun Soo Myung
author_sort Yun Soo Myung
collection DOAJ
description We perform the thermodynamic analysis of a charged Horndeski black hole (CHB) with mass m and charge q obtained from the Einstein-Horndeski-Maxwell theory. There are two solution branches: one is for the CHB and the other is for the naked singularity (NS). Thermodynamic behavior for the CHB is similar to that for the Reissner-Nordström black hole but its Helmholtz free energy is always positive. If the NS point is included as an extremal point, then the Helmholtz free energy is always negative, implying that the globally stable region is achieved anywhere. For the NS, its temperature has a maximum point, its heat capacity remains negative without having Davies point, and its free energy decreases without limitation as the charge q increases.
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spelling doaj-art-ee96d008f6ca45c2ad65c6111f33bf642025-08-20T02:16:18ZengElsevierPhysics Letters B0370-26932025-07-0186613952310.1016/j.physletb.2025.139523Extended thermodynamic analysis of a charged Horndeski black holeYun Soo Myung0Center for Quantum Spacetime, Sogang University, Seoul 04107, Republic of KoreaWe perform the thermodynamic analysis of a charged Horndeski black hole (CHB) with mass m and charge q obtained from the Einstein-Horndeski-Maxwell theory. There are two solution branches: one is for the CHB and the other is for the naked singularity (NS). Thermodynamic behavior for the CHB is similar to that for the Reissner-Nordström black hole but its Helmholtz free energy is always positive. If the NS point is included as an extremal point, then the Helmholtz free energy is always negative, implying that the globally stable region is achieved anywhere. For the NS, its temperature has a maximum point, its heat capacity remains negative without having Davies point, and its free energy decreases without limitation as the charge q increases.http://www.sciencedirect.com/science/article/pii/S0370269325002849
spellingShingle Yun Soo Myung
Extended thermodynamic analysis of a charged Horndeski black hole
Physics Letters B
title Extended thermodynamic analysis of a charged Horndeski black hole
title_full Extended thermodynamic analysis of a charged Horndeski black hole
title_fullStr Extended thermodynamic analysis of a charged Horndeski black hole
title_full_unstemmed Extended thermodynamic analysis of a charged Horndeski black hole
title_short Extended thermodynamic analysis of a charged Horndeski black hole
title_sort extended thermodynamic analysis of a charged horndeski black hole
url http://www.sciencedirect.com/science/article/pii/S0370269325002849
work_keys_str_mv AT yunsoomyung extendedthermodynamicanalysisofachargedhorndeskiblackhole