2014/02/28 by Wei Xu, Jia Wang, Xin-He Meng +1
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Dimensionless quantity #Entropy (arrow of time) #Event horizon #First law #First law of thermodynamics #Fundamental thermodynamic relation #Non-equilibrium thermodynamics #Physics #Quantum mechanics #Spacetime #Theoretical physics #Thermodynamics #White hole #hep-th
paper · pdf · doi:10.3390/galaxies3010053
published as Galaxies 2015, 3(1), 53-71 · 12 pages, no figures, title changed, references added
openalex publication_date 2015/02/02 · arxiv created 2015/02/03 · arxiv updated 2015/02/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present some entropy and temperature relations of multi-horizons, even including the “virtual” horizon. These relations are related to the product, division and sum of the entropy and temperature of multi-horizons. We obtain the additional thermodynamic relations of both static and rotating black holes in three- and four-dimensional (A)dS spacetime. Especially, a new dimensionless, charge-independence and T+S+ = TS-like relation is presented. This relation does not depend on the mass, electric charge, angular momentum and cosmological constant, as it is always a constant. These relations lead us to obtaining some interesting thermodynamic bounds of entropy and temperature, including the Penrose inequality, which is the first geometrical inequality of black holes. Besides, based on these new relations, one can obtain the first law of thermodynamics and the Smarr relation for all horizons of a black hole.