高维$R^2$引力中的比安基型黑洞
Bianchi-Type Black Holes in Higher-Dimensional $R^2$ Gravity
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中文总结 AI 辅助
该研究利用外微分形式，在$R^2$修正引力中构造了高维比安基型黑洞解，分析其热力学性质，发现临界区域存在霍金温度有限但沃尔德熵为零的非常规热力学 regime。
中文摘要 AI 辅助
本研究利用外微分形式的形式体系，研究了$R^2$引力理论中的高维静态与稳态比安基型解。我们在$R^2$修正引力理论中构造了一大类精确的高维比安基型解。结果表明，该理论允许存在与均匀但各向异性视界几何相关的超尺度违反黑洞解，涵盖静态和稳态两种构型。我们进一步分析了这些背景的部分热力学性质，证明高曲率修正会产生非常规特征。特别地，我们表明在临界区域内，这些解尽管具有完全消失的沃尔德熵，却拥有有限的霍金温度，标志着一种不寻常的热力学 regime。这些构型出现在理论的临界点处，此时有效引力耦合消失，可容许的常曲率几何空间得以扩大。
英文摘要
In this study, we investigate higher-dimensional static and stationary Bianchi-type solutions in an $R^2$ gravity theory using the formalism of exterior differential forms. We construct a broad class of exact higher-dimensional Bianchi-type solutions in an $R^{2}$-corrected gravity theory. It is shown that the theory admits hyperscaling violating black hole solutions associated with homogeneous but anisotropic horizon geometries, encompassing both static and stationary configurations. We further analyze some thermodynamic properties of these backgrounds and demonstrate that higher-curvature corrections give rise to unconventional features. In particular, we show that within the critical sector, the solutions possess a finite Hawking temperature despite an identically vanishing Wald entropy, signaling an unusual thermodynamic regime. These configurations arise at the critical point of the theory, where the effective gravitational coupling vanishes and the space of admissible constant-curvature geometries is enlarged.
