2016/03/17 by Devin Hansen, David Kubiznak, David Kubizňák +1 · 1 citation
Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Cosmological constant #Cosmology and Gravitation Theories #Entropy (arrow of time) #Event horizon #First law of thermodynamics #Horizon #Noncommutative and Quantum Gravity Theories #Physics #Second law of thermodynamics #Theoretical physics #Thermodynamics #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep01(2017)047
11 pages, 5 figures
arxiv created 2016/03/17 · openalex publication_date 2017/01/01 · arxiv updated 2017/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study P − V criticality of black holes in Lovelock gravities in the context of horizon thermodynamics. The corresponding first law of horizon thermodynamics emerges as one of the Einstein-Lovelock equations and assumes the universal (independent of matter content) form δE = T δS − P δV , where P is identified with the total pressure of all matter in the spacetime (including a cosmological constant Λ if present). We compare this approach to recent advances in extended phase space thermodynamics of asymptotically AdS black holes where the ‘standard’ first law of black hole thermodynamics is extended to include a pressure-volume term, where the pressure is entirely due to the (variable) cosmological constant. We show that both approaches are quite different in interpretation. Provided there is sufficient non-linearity in the gravitational sector, we find that horizon thermodynamics admits the same interesting black hole phase behaviour seen in the extended case, such as a Hawking-Page transition, Van der Waals like behaviour, and the presence of a triple point. We also formulate the Smarr formula in horizon thermodynamics and discuss the interpretation of the quantity E appearing in the horizon first law.