A Ricci Soliton Characterization of Pure Radiation Metrics Conformal to a Vacuum Space-Time

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

Gravitation and Cosmology Pub Date : 2022-06-06 DOI:10.1134/S0202289322020037

Wafaa Batat, Noura Sidhoumi

引用次数: 0

Abstract

We consider pure radiation metrics which are conformal to a vacuum space-time, and we investigate whether there exist or not any pure radiation metrics which are Ricci soliton. In particular, we give a necessary and sufficient condition for such metrics to be Ricci solitons. As an application, we prove that they are gradient Ricci soliton only under a very restrictive condition for the defining function involved in those metrics.

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与真空时空共形的纯辐射度量的Ricci孤子表征

我们考虑与真空时空共形的纯辐射度量，我们研究是否存在任何纯辐射度量是里奇孤子。特别地，我们给出了这些度量是里奇孤子的充分必要条件。作为一个应用，我们证明了它们是梯度Ricci孤子，只有在一个非常严格的条件下，这些度量所涉及的定义函数才是梯度Ricci孤子。

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