AI 中文总结
研究f(𝒦,ℛ)引力中静态球对称黑洞解，通过微扰方案求解耦合微分方程获度规一阶修正，进而评估Iyer-Wald熵，发现高曲率贡献对贝肯斯坦-霍金熵产生幂律修正。
AI 中文摘要
我们研究了一类由依赖于里奇标量和克雷奇曼标量的拉格朗日量描述的高曲率引力理论中的静态、球对称黑洞解。修正的爱因斯坦方程包含高阶曲率项。我们开发了一种微扰方案来寻找参数上偏离史瓦西几何的黑洞解。通过求解耦合微分方程得到度规的一阶修正。然后在微扰耦合中一致地评估相应的Iyer-Wald熵到一阶。我们表明，高曲率贡献对贝肯斯坦-霍金熵产生幂律修正。
英文摘要
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.
Comments7 pages. Minor typographical corrections (title and author name)
