A note on mixed super quasi Einstein manifold
Authors :
Ananta Patra 1 and Akshoy Patra 2
Author Address :
1 Department of Mathematics, Kandi Raj College, Kandi-742137, Murshidabad, West Bengal, India.
2 Department of Mathematics, Govt.College of Engineering and Textile Technology, Berhampore-742101, Murshidabad, West Bengal, India.
*Corresponding author.
Abstract :
Mixed super quasi Einstein manifold ($MS(QE)_n$) is a generalization of Einstein manifold. In this paper we have studied some geometric properties of $MS(QE)_n$. Also we have studied $MS(QE)_n$)satisfying some curvature restriction and obtained the form of Riemannian curvature tensor. We have studied conformally flat and conformally conservative $MS(QE)_n$. We have deduced a necessary condition for a $MS(QE)_{n} $, to be conformally conservative. Some basic properties of $MS(QE)_n$ on viscous fluid $MS(QE)_n$ spacetimes are discussed. We have proved that if a viscous fluid $MS(QE)_n$ spacetime admitting heat flux obeys Einstein equation with a cosmological constant then none of the energy density and isotropic pressure of the fluid can be a constant.
Keywords :
Mixed super quasi-Einstein manifold, conformally flat, conformally conservative, viscous fluid, heat flux, cosmological constant, energy density, isotropic pressure.
DOI :
Article Info :
Received : January 10, 2020; Accepted : May 01, 2020.
