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高阶曲率引力的解析近似黑洞解

Analytically Approximate Black Hole Solution to Higher Curvature Gravity

Seyed Naseh Sajadi

arXiv 2608.01869首次发表:更新:

AI 中文总结

本研究通过黑洞热力学与连分数展开,在高阶曲率引力中获得带电黑洞的解析解,其结果与直接求解爱因斯坦引力场方程的结果一致。

AI 中文摘要

高阶曲率引力通常会导出极为复杂的场方程,致使难以找到解析解。本研究利用黑洞热力学与连分数展开,在高阶曲率引力中获得了带电黑洞的解析解;借助热力学第一定律与Smarr公式,研究了静态黑洞的热力学,结果表明所得解与直接求解爱因斯坦引力场方程的结果一致。

英文摘要

Higher-curvature gravity usually leads to very complicated field equations, which makes it hard to find analytical solutions. In this work, we obtain analytical charged black hole solutions in higher-curvature gravity by using black hole thermodynamics and the continued fraction expansion. We study the thermodynamics of static black holes using the first law of thermodynamics and the Smarr formula. We show that our results agree with those obtained by directly solving the field equations in Einstein gravity.

Comments9 pages, 1 figure, proceeding of conference. Published in International Journal of Modern Physics A

DOI:10.1142/S0217751X26460218

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