Higher derivative corrections to Kerr black hole thermodynamics

Abstract

In an effective field theory approach to gravity, the Einstein-Hilbert action is supplemented by higher derivative terms. In the absence of matter, four derivative terms can be eliminated by a field redefinition. We use the Euclidean action to calculate analytically the corrections to thermodynamic quantities of the Kerr solution arising from terms with six or eight derivatives. The eight derivative terms make a non-negative correction to the entropy (at fixed mass and angular momentum) if their coefficients have appropriate signs. The correction from the six derivative terms does not have a definite sign.

20 pages. v2: minor changes. v3: corrected typo in eq 3.7c

References in corpus (2)

• Black holes in an Effective Field Theory extension of GR
• An instability of higher-dimensional rotating black holes

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