Thermodynamical structure of AdS black holes in massive gravity with stringy gauge-gravity corrections
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Publication:2957122
DOI10.1088/0264-9381/33/23/235007zbMATH Open1354.83035arXiv1510.00108OpenAlexW2264497216WikidataQ125798820 ScholiaQ125798820MaRDI QIDQ2957122
Author name not available (Why is that?)
Publication date: 25 January 2017
Published in: (Search for Journal in Brave)
Abstract: Motivated by gauge/gravity group in the low energy effective theory of the heterotic string theory and novel aspects of massive gravity in the context of lattice physics, the minimal coupling of Gauss-Bonnet-massive gravity with Born-Infeld electrodynamics is considered. At first, the metric function is calculated and then the geometrical properties of the solutions are investigated. It is found that there is an essential singularity at the origin and the intrinsic curvature is regular elsewhere. In addition, the effects of massive parameters are studied and black hole solutions with multi horizons are found in this gravity. Also the conserved and thermodynamic quantities are calculated, and it is shown that the solutions satisfy the first law of thermodynamics. Furthermore, using heat capacity of these black holes, thermal stability and phase transitions are investigated. The variation of different parameters and related modifications on the (number of) phase transition are examined. Next, the critical behavior of the Gauss-Bonnet-Born-Infeld-massive black holes in the context of extended phase space is studied. It is shown that how the variation of the different parameters affects the existence and absence of phase transition. Also, it is found that for specific values of different parameters, these black holes may enjoy the existence of new type of phase transition which to our knowledge was not observed in black hole physics before.
Full work available at URL: https://arxiv.org/abs/1510.00108
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