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arXiv 2307.12464gr-qcmath-phmath.MP
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由潮汐加速度导出的表面引力

Surface gravity from tidal acceleration

Pravin Kumar Dahal

AI总结:

本文针对动态时空中表面引力定义的难题,提出了一种基于潮汐加速度的新定义,通过从视界到无穷远的积分在多种时空中还原并验证了该定义的有效性。

摘要:

表面引力在黑洞的特征刻画以及黑洞热力学定律的表述中起着关键作用。尽管其意义重大,但在一般时空中定义表面引力并非易事,因此在动态场景中存在多种缺乏等价性的定义。本文回顾了动态表面引力的不同概念,随后提出了一种基于潮汐加速度的新定义,潮汐加速度是表征时空曲率的一种替代方式。通过将潮汐加速度从视界积分至无穷远,我们能够在熟悉的 Schwarzschild 和 Kerr 时空情形中还原表面引力。我们概述了计算表面引力的一般流程,并通过研究稳态时空的表面引力及复现文献中的结果来证实我们的提议。此外,我们考察了非稳态时空中的表面引力,重点以 Vaidya 时空作为蒸发黑洞的模型。

英文摘要:

Surface gravity plays a pivotal role in the characterization of black holes and also in formulating the laws of black hole thermodynamics. Despite its significance, defining surface gravity in general spacetimes is a nontrivial task and thus has multiple definitions that lack equivalence in dynamical scenarios. This paper reviews different notions of dynamical surface gravity and then proposes a new definition based on tidal acceleration, which is an alternative way of characterizing spacetime curvature. By integrating tidal acceleration from the horizon to infinity, we could retrieve surface gravity in familiar situations of Schwarzschild and Kerr spacetimes. We outline a generic procedure for calculating surface gravity and substantiate our proposal by investigating the surface gravity of stationary spacetimes and reproducing the results from the literature. Furthermore, we examine surface gravity in nonstationary spacetimes, with a focus on Vaidya spacetime as a model of evaporating black holes.

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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