Arbitrary Static, Spherically Symmetric Space-Times as Solutions of Scalar-Tensor Gravity

IF 1.2 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Gravitation and Cosmology Pub Date : 2023-04-04 DOI:10.1134/S0202289323010036

K. A. Bronnikov, Kodir Badalov, Rustam Ibadov

引用次数: 4

Abstract

It is shown that an arbitrary static, spherically symmetric metric can be presented as an exact solution of a scalar-tensor theory (STT) of gravity with certain nonminimal coupling function \(f(\phi)\) and potential \(U(\phi)\). The scalar field in this representation can change its nature from canonical to phantom on certain coordinate spheres. This representation, however, is valid in general not in the full range of the radial coordinate but only piecewise. Two examples of STT representations are discussed: for the Reissner–Nordström metric and for the Simpson–Visser regularization of the Schwarzschild metric (the so-called black bounce space-time).

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作为标量张量引力解的任意静态球对称时空

证明了具有一定非极小耦合函数\(f(\phi)\)和势\(U(\phi)\)的引力标量张量理论(STT)的精确解可以表示任意静态球对称度规。这种表示中的标量场可以在特定的坐标球上由正则态变为虚态。然而，这种表示通常不是在径向坐标的整个范围内有效，而只是分段地有效。讨论了两个STT表示的例子:Reissner-Nordström度规和史瓦西度规的Simpson-Visser正则化(所谓的黑弹跳时空)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-

CiteScore

1.70

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoplesâ€™ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community