Work

Spacetimes and Almost Ricci-Yamabe Solitons

Year: 2024

Type: article

Abstract: This article investigates almost Ricci-Yamabe solitons and gradient almost Ricci-Yamabe solitons in spacetimes. Initially, we demonstrate that if a spacetime allows an almost Ricci-Yamabe soliton with a conformal vector field as potential vector field, then the spacetime turns into an Einstein spacetime. Next, we examine that if a spacetime admits an almost Ricci-Yamabe soliton with a recurrent vector field as potential vector field, then the spacetime becomes perfect fluid spacetime. Then, it is shown that if a generalized Robertson-Walker spacetime admits an almost Ricci-Yamabe soliton or a gradient almost Ricci-Yamabe soliton, then it represents a perfect fluid spacetime. Consequently, we derive a number of interesting corollaries. We conclude providing an example of an almost Ricci-Yamabe solitons.

Source: DergiPark (Istanbul University)

Authors: Baidya, Ansari Rakesh, De, U.c., De, Krishnendu

Institutions: Dum Dum Motijheel College, University of Calcutta, University of Burdwan

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7034119597

FWCI:

Cites:

Cited by:

Related to: