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Theoretical and Mathematical Physics

, Volume 198, Issue 3, pp 463–474 | Cite as

Conformal Ricci Collineations of Static Space–Times with Maximal Symmetric Transverse Spaces

  • T. HussainEmail author
  • F. Khan
Article
  • 8 Downloads

Abstract

We explore conformal Ricci collineations (CRCs) for static space–times with maximal symmetric transverse spaces. Solving the CRC equations in the degenerate and nondegenerate cases, we show that the dimension of the Lie algebra of CRCs for these space–times can be 6, 7, or 15 for a nondegenerate Ricci tensor, while a degenerate Ricci tensor produces an infinite number of CRCs.

Keywords

conformal Ricci collineation Ricci collineation static space–time with a maximal symmetric transverse space 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of PeshawarKhyber PakhtunkhwaPakistan

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