Ricci Soliton and Geometrical Structure in a Perfect Fluid Spacetime with Torse-forming Vector Field

2018/06/02 by V. Venkatesha, Venkatesha, Aruna Kumara H +1 · 1 citation
Mathematics · Physics and Astronomy · #53B50. 53C44. 53C50. 83C02 #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1806.00599

openalex publication_date 2018/06/02 · openalex created_date 2018/06/13 · openalex updated_date 2026/07/28

Abstract

In this paper geometrical aspects of perfect fluid spacetime with torse-forming vector field ξare discribed and Ricci soliton in perfect fluid spacetime with torse-forming vector field ξare determined. Conditions for the Ricci soliton to be expanding, steady or shrinking are also given.

Citations

• Spacetimes with Semisymmetric Energy-Momentum Tensor

Cited by

• Characterization of generalized quasi-Einstein manifolds and modified gravity

Related

• Conformal Ricci soliton and geometrical structure in a perfect fluid spacetime
• Geometrical structure in a perfect fluid spacetime with conformal Ricci-Yamabe soliton
• Solitons and geometrical structures in a perfect fluid spacetime
• Characterization of general relativistic spacetime equipped with different types of solitons
• From Infinitesimal Harmonic Transformations to Ricci Solitons