Entropy of Lovelock Black Holes
Ted Jacobson, Robert C. Myers
TL;DR
This paper derives a general formula for the entropy of stationary black holes in Lovelock gravity, revealing it depends on horizon curvature invariants rather than just surface area.
Contribution
It provides a Hamiltonian-based derivation of black hole entropy in Lovelock theories, extending the area law to include curvature contributions.
Findings
Entropy includes intrinsic curvature invariants.
Formula derived via Hamiltonian methods.
Generalizes the area law for black hole entropy.
Abstract
A general formula for the entropy of stationary black holes in Lovelock gravity theories is obtained by integrating the first law of black hole mechanics, which is derived by Hamiltonian methods. The entropy is not simply one quarter of the surface area of the horizon, but also includes a sum of intrinsic curvature invariants integrated over a cross section of the horizon.
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