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arXiv 2311.09403hep-thgr-qc
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引力中的子区域独立性

Subregion Independence in Gravity

Åsmund Folkestad

AI总结:

本文提出经典引力中子区域独立性的自然定义,发现极值曲面等结构通过负质量贡献实现修饰与独立性,并证明球对称渐近德西特时空中曲面面积的上下界定理。

摘要:

在引力中,由于约束方程,类空分离的区域可能相互依赖。本文中,我们给出了经典引力中子系统独立性和微扰的引力修饰的自然定义。我们发现极值曲面、非微扰物质团块和一般陷获面是能够实现修饰和子区域独立性的结构。这为极值曲面为何倾向于分离独立子系统提供了一个简单直观的图景。根本原因是,极值曲面一侧的局域化微扰对另一侧的质量贡献为负,使得引力约束表现得如同存在负电荷和正电荷一样。我们的结果支持无质量引力中岛屿的一致性,揭示了Python's lunch,并为微扰量子化广义相对论中分裂性质的本质提供了线索。我们还证明了一个定理,该定理在球对称渐近德西特时空中,用德西特和Nariai视界面积从上方和下方限制了某些曲面的面积。该定理意味着,在假设球对称和能量条件的情况下,不可能在不改变相对补丁的情况下变形单个静态补丁。

英文摘要:

In gravity, spacelike separated regions can be dependent on each other due to the constraint equations. In this paper, we give a natural definition of subsystem independence and gravitational dressing of perturbations in classical gravity. We find that extremal surfaces, non-perturbative lumps of matter, and generic trapped surfaces are structures that enable dressing and subregion independence. This leads to a simple intuitive picture for why extremal surfaces tend to separate independent subsystems. The underlying reason is that localized perturbations on one side of an extremal surface contribute negatively to the mass on the other side, making the gravitational constraints behave as if there exist both negative and positive charges. Our results support the consistency of islands in massless gravity, shed light on the Python's lunch, and provide hints on the nature of the split property in perturbatively quantized general relativity. We also prove a theorem bounding the area of certain surfaces in spherically symmetric asymptotically de Sitter spacetimes from above and below in terms of the horizon areas of de Sitter and Nariai. This theorem implies that it is impossible to deform a single static patch without also deforming the opposite patch, provided we assume spherical symmetry and an energy condition.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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