2014/05/13 by A. Belhaj, Belhaj, A., M. Chabab +9 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1405.3306
18 pages, latex with 10 figures, titled modified, section added, typos corrected, accepted for publication in International Journal of Geometric Methods in Modern Physics (2015)
openalex publication_date 2014/05/13 · arxiv created 2015/07/01 · arxiv updated 2015/07/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Interpreting the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the investigation of P-V critical behaviors of (1+n)-dimensional topological AdS black holes in Lovelock-Born-Infeld gravity. In particular, we give an explicit expression of the universal number χ=(Pc vc)/(Tc) in terms of the space dimension n. Then, we examine the phase transitions at the critical points of such topological black holes for 6 ≤ n ≤ 11 as required by the physical condition of the thermodynamical quantities. More precisely, the Ehrenfest equations have been checked revealing that the black hole system undergoes a second phase transition at the critical points.