\(\boldsymbol{f(R，\square R)}\)重力下手性自引力模型的球对称解

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

Gravitation and Cosmology Pub Date : 2022-09-06 DOI:10.1134/S0202289322030033

S. V. Chervon, I. V. Fomin, A. A. Chaadaev

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引用次数: 0

摘要

我们构造了一个对应于修正\(f(R,\square R)\)引力的手性自引力模型，然后应用拉格朗日乘子法和保角变换在爱因斯坦坐标系中得到该模型。找到目标空间的杀伤对称性。利用标度变换的一种特殊情况，我们找到了具有零和常数势的精确解的例子。场之间的线性依赖导致了模型的新解。

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Spherically Symmetric Solutions of a Chiral Self-Gravitating Model in \(\boldsymbol{f(R,\square R)}\) Gravity

We construct a chiral self-gravitating model corresponding to modified \(f(R,\square R)\) gravity following by application of the Lagrange multipliers method and a conformal transformation to obtain the model in the Einstein frame. Killing symmetries of the target space are found. Using a special case of a scaling transformation, we find examples of exact solutions with zero and constant potentials. A linear dependence between the fields leads to new solutions for the model.

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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