2026/07/23 by I. Díaz-Saldaña, J. López-Domínguez, Wilfredo Yunpanqui +3
Physics and Astronomy · #gr-qc
7 pages. Minor typographical corrections (title and author name)
arxiv created 2026/07/29 · arxiv updated 2026/07/30
We investigate static, spherically symmetric black hole solutions in a class of higher-curvature gravitational theories described by a Lagrangian that depends on the Ricci and Kretschmann scalars. The modified Einstein equations contain higher-order curvature terms. We develop a perturbative scheme to look for a black hole solution that deviates parametrically from the Schwarzschild geometry. We obtain first-order corrections to the metric by solving the resulting coupled differential equations. The corresponding Iyer--Wald entropy is then evaluated consistently to first order in the perturbative coupling. We show that the higher-curvature contribution gives rise to a power-law correction to the Bekenstein--Hawking entropy.