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arXiv · 1501.00006

Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities

Zhong-Ying Fan·H. Lu
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Abstract

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/hyperbolic isometries in these theories. This allows us to derive/rederive the first laws for a wide range of black holes in literature. Furthermore, we construct many new exact solutions and obtain their first laws.

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Zhong-Ying Fan, H. Lu. 2015-02-13. Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities. https://doi.org/10.1103/physrevd.91.064009

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