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非守恒幺模引力中的静态球对称解

Static Spherically Symmetric Solutions in Nonconservative Unimodular Gravity

Anuar Idrissov, Hernando Quevedo

arXiv 2609.13628首次发表:更新:

发表机构

Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México; Fesenkov Astrophysical Institute; Al-Farabi Kazakh National University; Dipartimento di Fisica and ICRA, Università di Roma “La Sapienza”(墨西哥国立自治大学核科学研究所; 费森柯夫天体物理研究所; 阿里-法拉比哈萨克国立大学; 罗马大学“拉萨皮恩扎”大学物理系及ICRA)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文研究非守恒幺模引力中静态球对称黑洞解的重构自由度,证明零能量条件结论重构不变而强/主条件依赖划分,并识别出可隔离迹参数的强场可观测量。

AI 中文摘要

幺模引力的无迹场方程仅能确定给定几何的源,直至一个纯迹贡献。我们研究了这种重构自由度对静态球对称黑洞几何的影响,该几何包含由弱场数据未固定的施瓦西解的首阶立方反比形变。我们证明,在进入能量条件的标准组合中,只有两个零投影与重构无关,而能量密度以及强能量条件和主能量条件的组合则依赖于物质与真空之间所选择的划分。这产生了一个一般性判据:基于零能量条件的结论是重构不变的,而仅基于强能量条件或主能量条件的结论则不是。将该判据应用于虫洞喉部时,对于每一种划分都能重现零能量的不可行结果。对于黑洞族,立方反比参数承载了完整的迹扇区。在重构族的拉斯托尔限制内,非守恒由该参数与拉斯托尔耦合的乘积控制,而无迹划分则由能量条件选择。我们还推导了强场可观测量,并识别出一个与电荷无关的光子球和最内稳定圆轨道位移组合,该组合能隔离迹扇区参数,而当前观测精度仍不足以测量它。

英文摘要

We study static and spherically symmetric black holes in nonconservative unimodular gravity, where the traceless field equations determine the source of a given geometry only up to a pure-trace term. We consider the Reissner-Nordström metric with an additional $1/r^{3}$ term and show that its coefficient fixes the Ricci scalar and, when the freedom in the source is restricted to the Rastall form, controls the nonconservation of energy and momentum. We find that only the null projections of the source are independent of how the geometry is divided between matter and vacuum. Therefore, no-go results based on the null energy condition hold in unimodular gravity, while those based on the strong or dominant conditions are generally split dependent. We identify the traceless source as the optimal split with respect to the energy conditions and determine the region in which all standard energy conditions can be satisfied. We also identify a combination of the shifts of the photon sphere and of the innermost stable circular orbit that measures the $1/r^{3}$ coefficient independently of the charge, although its detection requires a precision far beyond current observations.

Comments13 pages, 6 figures, 2 tables. Updated refs, figures

论文原文

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