Higher derivative corrections to Kerr black hole thermodynamics

Understand

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.