2003/11/30 by Rong-Gen Cai · 280 citations
Mathematics · Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Entropy (arrow of time) #Event horizon #Geometry #Hawking radiation #Horizon #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Scalar curvature #Thermodynamics #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2004.01.015
published in Physics Letters B 582(3-4), 237-242 (Elsevier BV) · Latex, 10 pages, v2: typos corrected, references added, to appear in PLB
arxiv created 2004/01/15 · openalex publication_date 2004/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Lovelock gravity consists of the dimensionally extended Euler densities. The geometry and horizon structure of black hole solutions could be quite complicated in this gravity, however, we find that some thermodynamic quantities of the black holes like the mass, Hawking temperature and entropy, have simple forms expressed in terms of horizon radius. The case with black hole horizon being a Ricci flat hypersurface is particularly simple. In that case the black holes are always thermodynamically stable with a positive heat capacity and their entropy still obeys the area formula, which is no longer valid for black holes with positive or negative constant curvature horizon hypersurface. In addition, for black holes in the gravity theory of Ricci scalar plus a 2n-dimensional Euler density with a positive coefficient, thermodynamically stable small black holes always exist in D=2n+1 dimensions, which are absent in the case without the Euler density term, while the thermodynamic properties of the black hole solutions with the Euler density term are qualitatively similar to those of black holes without the Euler density term as D>2n+1.