Ricci-Bourguignon Soliton on Perfect Fluid Spacetime

Mahima A.; SOMASHEKHARA G; Madan M Desai; SHIVPRASANNA; Savithri S.; Deepak A. S.

doi:10.5269/bspm.77271

Ricci-Bourguignon Soliton on Perfect Fluid Spacetime

Authors

Mahima A. M S RAMAIAH UNIVERSITY OF APPLIED SCIENCES
SOMASHEKHARA G M S RAMAIAH UNIVERSITY OF APPLIED SCIENCES https://orcid.org/0000-0002-9069-8814
Madan M Desai
SHIVPRASANNA DR. AMBEDKAR INSTITUTE OF TECHNOLOGY https://orcid.org/0000-0002-9962-5216
Savithri S.
Deepak A. S.

DOI:

https://doi.org/10.5269/bspm.77271

Abstract

This paper examines perfect fluid spacetimes in the context of Ricci-Bourguignon solitons and Î·
Ricci-Bourguignon solitons, emphasizing the role of torse-forming vector fields. We derive the conditions for a
Ricci-Borguignon soliton to be shrinking, steady, or expanding, by analyzing the associated scalar parameters.
Additionally, we investigate perfect fluid spacetimes satisfying the condition (Î¾,·)C · Z = 0, (Î¾,·)H · Z = 0.