Static spherically symmetric black holes of Brans–Dicke theory of gravity

IF 1.5 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
David Senjaya
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引用次数: 0

Abstract

This paper investigates the static spherically symmetric vacuum solutions of Brans–Dicke Theory of Gravity. In this paper, we systematically derive the static spherically symmetric solutions by starting with the general static spherically symmetric anzats, discovering the nonzero Christoffel symbols, nonzero Ricci tensor components and the Ricci Scalar. These results allow us to rewrite the four Brans–Dicke gravitational field equations explicitly in terms of the metric components, the scalar field and its scalar potential. This paper systematically explains and shows how to modify these linear second-order ordinary differential equations in order to be able to find the solution of the scalar field, the metric components and the scalar potential analytically. We successfully find the most general solution of the static spherically symmetric vacuum solutions of Brans–Dicke gravity and the well-known Schwarzschild solution is recovered as the simplest solution.
静态球对称黑洞的布兰斯-迪克引力理论
本文研究了布兰斯-迪克引力理论的静态球对称真空解。本文从一般静力球对称解出发,系统地推导出非零Christoffel符号、非零Ricci张量分量和Ricci标量。这些结果允许我们用度规分量、标量场及其标量势来明确地重写四个布兰斯-迪克引力场方程。本文系统地说明了如何对这些线性二阶常微分方程进行修正,以求得标量场、度量分量和标量势的解析解。我们成功地找到了Brans-Dicke引力静态球对称真空解的最通解,并恢复了著名的史瓦西解作为最简单解。
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
Modern Physics Letters A
Modern Physics Letters A 物理-物理:核物理
CiteScore
3.10
自引率
7.10%
发文量
186
审稿时长
3 months
期刊介绍: This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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