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Perfect fluid spacetimes and Yamabe solitons
Journal of Mathematical Physics, 2021This paper deals with the study of perfect fluid spacetimes. It is proven that a perfect fluid spacetime is Ricci recurrent if and only if the velocity vector field of perfect fluid spacetime is parallel and α = β. In addition, in a stiff matter perfect fluid Yang pure space with p + σ ≠ 0, the integral curves generated by the velocity vector field are
U. C. De, S. K. Chaubey, S. Shenawy
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Relativistic perfect fluid spacetimes and Ricci–Yamabe solitons
Letters in Mathematical Physics, 2021The paper under review studies perfect fluid spacetimes admitting Ricci-Yamabe solitons and \(\gamma\)-Ricci-Yamabe solitons with a torse-forming vector field where \(\gamma\) is a 1-form that is the dual of the potential vector field with respect to the metric \(g.\) The authors also obtain a Poisson and a Liouville equation from the soliton equation.
Mohd. Danish Siddiqi, Uday Chand De
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Investigation on gradient solitons in perfect fluid spacetimes
Reports on Mathematical Physics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Krishnendu De, Uday Chand De
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Lorentzian Rigged Structure Inheriting Perfect Fluid Spacetime Status
Mediterranean Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, Amrinder Pal +3 more
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Projective symmetry in perfect fluid spacetimes
Classical and Quantum Gravity, 2002Summary: Following a study of projective symmetry in Friedmann-Robertson-Walker models in \textit{G. S. Hall} [Classical Quantum Gravity 17, 4637-4644 (2000; Zbl 0988.83015)], it is shown (theorem 2) that the only conformally flat, perfect fluid spacetimes admitting such symmetry are, essentially, (locally) of the Friedmann-Robertson-Walker type.
Hall, G. S., Patel, M. T.
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Lanczos Potential and Perfect Fluid Spacetimes
International Journal of Theoretical Physics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahsan, Zafar, Bilal, Mohd
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Non-diagonal separable perfect-fluid spacetimes
Classical and Quantum Gravity, 1997We consider non-diagonal inhomogeneous cosmologies admitting an Abelian orthogonally transitive two-dimensional group of isometries under the assumption of separation of variables. We find all the sets of compatible systems of ordinary equations which give rise to reasonable solutions (satisfying energy conditions) and study them.
Marc Mars, José M M Senovilla
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Perfect fluid spacetimes admitting curvature collineations
General Relativity and Gravitation, 1991This paper discusses curvature collineations in perfect fluid spacetimes within Einstein's general relativity. Using as starting point the papers of the reviewer [Gen. Relativ. Gravitation 15, 581-589 (1983; Zbl 0514.53018)] and the reviewer are and the second author [J. Math. Phys. 32, No.
Carot, J., Da Costa, J.
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Ricci Collineations in Perfect Fluid Bianchi V Spacetime
General Relativity and Gravitation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Turkyilmaz, I, Camcı, Uğur
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On perfect fluid spacetimes obeying Gray’s decompositions
Reviews in Mathematical PhysicsIn this work, perfect fluid spacetimes obeying Gray’s decompositions have been studied. In the first part, after a brief summary about Gray’s decompositions used in this study, we work on properties of perfect fluid spacetimes obeying these decompositions. The results are obtained for different subspaces of a perfect fluid spacetime.
Uday Chand De +2 more
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