2015/01/31 by Zhong-Ying Fan, H. Lü, H. Lu · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Conjecture #Cosmological constant #Cosmology and Gravitation Theories #Curvature #De Sitter universe #Einstein #Einstein field equations #Formalism (music) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quadratic equation #Quadratic growth #Quantum mechanics #Theoretical physics #Universe #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.91.064009
published as Phys. Rev. D 91, 064009 (2015) · Latex, 29 pages, many typos (spotted by the referee of PRD) corrected, to appear in PRD
arxiv created 2015/02/13 · openalex publication_date 2015/03/03 · arxiv updated 2015/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Einstein gravities in general dimensions coupled to a cosmological constant and extended with quadratic curvature invariants admit a variety of black holes that may asymptote to Minkowski, anti--de Sitter or Lifshitz spacetimes. We adopt the Wald formalism to derive an explicit formula for calculating the thermodynamical first law for the static black holes with spherical, toric, or hyperbolic isometries in these theories. This allows us to derive or rederive the first laws for a wide range of black holes in the literature. Furthermore, we construct many new exact solutions and obtain their first laws.