Conformal Ricci soliton and geometrical structure in a perfect fluid spacetime

2020/05/01 by Mohd Danish Siddiqi, Mohd. Danish siddiqi, Shah Alam Siddiqui · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · doi:10.1142/s0219887820500838

Abstract

In this paper, we studied the geometrical aspects of a perfect fluid spacetime in terms of conformal Ricci soliton and conformal [Formula: see text]-Ricci soliton with torse-forming vector field [Formula: see text]. Condition for the conformal Ricci soliton to be steady, expanding or shrinking are also given. In particular case, when the potential vector filed [Formula: see text] of the soliton is of gradient type, we derive, from the conformal [Formula: see text]-Ricci soliton equation, a Laplacian equation.

Citations

• A Study of Generalized Quasi Einstein Spacetimes with Applications in General Relativity
• Space-times with covariant-constant energy-momentum tensor
• Spacetimes with Semisymmetric Energy-Momentum Tensor

Cited by

• Energy–momentum-squared gravity model-ℱ(ℛ,𝒯2) coupled with perfect fluid admitting solitonic-type symmetries

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