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Energy-dependent topological anti-de Sitter black holes in Gauss–Bonnet Born–Infeld gravity

2018/02/02 by S. H. Hendi, S H Hendi, H. Behnamifard +3 · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Context (archaeology) #Event horizon #Extremal black hole #Hawking radiation #Horizon #Micro black hole #Noncommutative and Quantum Gravity Theories #Penrose process #gr-qc #hep-th

paper · pdf · doi:10.1093/ptep/pty017

published as Prog. Theor. Exp. Phys. 2018, 033E03 (2018) · 15 pages with 4 figures. Published version

openalex publication_date 2018/02/02 · openalex created_date 2018/04/06 · arxiv created 2018/04/25 · arxiv updated 2018/04/30 · openalex updated_date 2026/08/05

Abstract

Employing higher-curvature corrections to Einstein–Maxwell gravity has garnered a great deal of attention motivated by the high-energy regime in the quantum nature of black hole physics. In addition, one may employ gravity’s rainbow to encode quantum gravity effects into black hole solutions. In this paper, we regard an energy-dependent static spacetime with various topologies and study its black hole solutions in the context of Gauss–Bonnet Born–Infeld (GB–BI) gravity. We study the thermodynamic properties and examine the first law of thermodynamics. Using a suitable local transformation, we endow the Ricci-flat black hole solutions with a global rotation and study the effects of rotation on thermodynamic quantities. We also investigate thermal stability in a canonical ensemble by calculating the heat capacity. We obtain the effects of various parameters on the horizon radius of stable black holes. Finally, we discuss a second-order phase transition in the extended phase space thermodynamics and investigate the critical behavior.

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