发表机构
National Institute of Technology (KOSEN), Kochi College（高知工业高等专门学校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在DGP膜引力中推导了引力熵与全息纠缠熵一致的条件，证明静态黑洞满足该条件，并推广至Lovelock和f(R)引力，阐明了膜世界全息原理。
AI 中文摘要
我们研究了在引力动力学局域于膜上的膜世界引力中，引力熵与全息纠缠熵之间的关系。我们首先考虑DGP膜模型，其中膜作用量中包含爱因斯坦-希尔伯特项，并推导了膜世界黑洞的引力熵与全息纠缠熵一致的条件。我们证明，当满足涉及膜外曲率的特定条件时，这两种熵重合。特别地，该条件对于静态构型自动满足。然后，我们将膜局域的爱因斯坦-希尔伯特项推广到更高曲率引力理论。对于膜上的Lovelock引力和$f(R)$引力，我们推导了引力熵与全息纠缠熵相等的相应条件，并表明它们与爱因斯坦引力所得形式相同。尽管对于一般稳态构型，这种相等性不能保证，但所需条件对于静态膜世界黑洞是满足的，从而导致两种熵一致。这些结果阐明了膜世界引力中引力熵与全息纠缠熵之间的关系，并有助于更深入地理解膜世界背景下的全息原理。
英文摘要
We investigate the relation between gravitational entropy and holographic entanglement entropy in braneworld gravity with gravitational dynamics localized on the brane. We first consider the DGP brane model, in which an Einstein-Hilbert term is included in the brane action, and derive the condition under which the gravitational entropy of a braneworld black hole agrees with the holographic entanglement entropy. We show that the two entropies coincide when a specific condition involving the extrinsic curvature of the brane is satisfied. In particular, this condition is automatically satisfied for static configurations. We then generalize the brane-localized Einstein-Hilbert term to higher-curvature gravitational theories. For Lovelock gravity and $f(R)$ gravity on the brane, we derive the corresponding conditions for the equality between gravitational entropy and holographic entanglement entropy and show that they take the same form as that obtained for Einstein gravity. Although the equality is not guaranteed for general stationary configurations, the required condition is satisfied for static braneworld black holes, leading to an agreement between the two entropies. These results clarify the relation between gravitational entropy and holographic entanglement entropy in braneworld gravity and contribute to a deeper understanding of holography in braneworld settings.
Comments15 pages, 1 figure
