Comprehensive quasi-Einstein spacetime with application to general relativity

DOI10.1142/s0219887822500165arXiv2105.08010OpenAlexW3217516350MaRDI QIDQ6189897

Punam Gupta, Sanjay Kumar Singh

Publication date: 5 February 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08010

zbMATH Keywords

quasi-Einstein manifoldsconharmonic mappings

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Differential geometric aspects of harmonic maps (53C43) Conformal structures on manifolds (53C18)

Cites Work

• On pseudo quasi-Einstein manifolds
• On quasi Einstein manifolds
• Einstein-like manifolds which are not Einstein
• Certain investigations on pseudo quasi-Einstein manifolds
• ON QUASI EINSTEIN MANIFOLDS
• Two-fluid cosmological models
• Characterizations of mixed quasi-Einstein manifolds
• Conformal mappings of quasi-Einstein manifolds admitting special vector fields
• Integral inequalities in compact orientable manifolds, Riemannian or Kählerian
• On Ruse's Spaces of Recurrent Curvature
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
• Some Theorems on Ricci-Recurrent Spaces
• Ricci-Calculus
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