2010/11/04 by Ritabrata Biswas, Ritabrata biswas, Subenoy Chakraborty · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Einstein #Entropic gravity #Entropy (arrow of time) #General relativity #Hořava–Lifshitz gravity #Loop quantum gravity #Lorentz covariance #Lorentz transformation #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum gravity #Quantum mechanics #Theoretical physics #gr-qc
paper · pdf · doi:10.1007/s10509-010-0504-x
published as Astrophys.Space Sci.332:193,2011 · 8 figures
openalex publication_date 2010/11/04 · arxiv created 2011/04/19 · arxiv updated 2015/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Recently, Ho\breverava proposed a non-relativistic renormalizable theory of gravity which is essentially a field theoretic model for a UV complete theory of gravity and reduces to Einstein gravity with a non-vanishing cosmological constant in IR. Also the theory admits a Lifshitz scale-invariance in time and space with broken Lorentz symmetry at short scale. On the other hand, at large distances higher derivative terms do not contribute and the theory coincides with general relativity. Subsequently, Cai and his collaborators and then Catiuo et al have obtained black hole solutions in this gravity theory and studied the thermodynamic properties of the black hole solution. In the present paper, we have investigated the black hole thermodynamic for two choices of the entropy function - a classical and a topological in nature. Finally, it is examined whether a phase transition is possible or not.