On symmetries of generalized Robertson-Walker spacetimes and applications

IF 0.4 Q4 MATHEMATICS

Journal of Dynamical Systems and Geometric Theories Pub Date : 2016-06-26 DOI:10.1080/1726037X.2017.1323418

H. El-Sayied, S. Shenawy, N. Syied

引用次数: 13

Abstract

ABSTRACT The purpose of the present article is to study and characterize several types of symmetries of generalized Robertson-Walker spacetimes. Conformal vector fields, curvature and Ricci collineations are studied. Many implications for existence of these symmetries on generalized Robertson-Walker spacetimes are obtained. Finally, Ricci solitons on generalized Robertson-Walker spacetimes admitting conformal vector fields are investigated.

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广义Robertson-Walker时空的对称性及其应用

本文的目的是研究和表征广义Robertson-Walker时空的几种对称性。研究了共形矢量场、曲率和里奇共线。得到了这些对称性在广义Robertson-Walker时空上存在的许多意义。最后，研究了广义Robertson-Walker时空上允许共形矢量场的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

Journal of Dynamical Systems and Geometric Theories MATHEMATICS-

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