2011/07/31 by M. H. Dehghani, Sh. Asnafi · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.84.064038
published as Phys. Rev. D84:064038, 2011 · 15 pages, Latex, A few references added, typos fixed
arxiv created 2011/09/20 · openalex publication_date 2011/09/23 · arxiv updated 2011/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We investigate the thermodynamics of rotating Lovelock-Lifshitz black branes. We calculate the conserved and thermodynamic quantities of the solutions and obtain a relation between energy, entropy, and angular momentum densities with temperature and angular velocity. We also obtain a Smarr-type formula for the energy density as a function of entropy and angular momentum densities, and we show that the thermodynamic quantities calculated in this paper satisfy the first law of thermodynamics. Finally, we investigate the stability of black brane solutions in both canonical and grand-canonical ensemble. We find that the solutions are thermally stable for z\ensuremath≤n\ensuremath-1, while they can be unstable for z>n\ensuremath-1.