https://neckpinch.com/authors/kaushik-chattopadhyay/New arXiv papers by Kaushik Chattopadhyay, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2104.02501/arxiv:2104.02501Tue, 06 Apr 2021 00:00:00 GMTKaushik Chattopadhyay, Arindam Bhattacharyya, Dipankar Debnath — In the present paper we discuss about a set of geometric properties and physical applications of a mixed quasi-Einstein spacetime[M(QE)₄], which is a special type of nearly quasi-Einstein spacetime[N(QE)₄]. Firstly we consider a nearly quasi-Einstein manifold[N(QE)ₙ] along with a mixed quasi-Einstein manifold[M(QE)ₙ] and study some geometric conditions with respect to different curvature tensors on them. Then we consider a mixed quasi-Einstein spacetime and study W₂-Ricci pseudosymmetry and projective Ricci pseudosymmetry on it. Then we study the conditions H · S=0 and tilde C · S=0 in an M(QE)₄ spacetime, where H, tilde C are the conharmonical curvature tensor and semiconformal curvature tensor respectively. Next we consider a semiconformally flat Ricci pseudosymmetric M(QE)₄ spacetime and find the nature of that spacetime. In the next section we study about some applications of a perfect fluid M(QE)₄ spacetime in the general theory of relativity. Followed by we discuss about the Ricci soliton structure in a semiconformally flat M(QE)₄ spacetime satisfying Einstein field equation without cosmological constant. Finally we give a nontrivial example of a M(QE)₄ spacetime to establish the existence of it.Ricci solitonsEinstein metricsAlmost & η-Ricci solitonsPhysics