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

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.

Resumo

This paper examines perfect fluid spacetimes in the context of Ricci-Bourguignon solitons and η
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 (ξ,·)C · Z = 0, (ξ,·)H · Z = 0.