Characterization of solitons in a pseudo-quasi-conformally flat and pseudo- $ W_8 $ flat Lorentzian Kähler space-time manifolds

Abstract

The present paper dealt with the study of solitons of Lorentzian Kähler space-time manifolds. In this paper, we have discussed different conditions for solitons to be steady, expanding, or shrinking in terms of isotropic pressure, the cosmological constant, energy density, nonlinear equations, and gravitational constant in pseudo-quasi-conformally flat and pseudo-$ W_8 $ flat Lorentzian Kähler space-time manifolds.

Keywords

• lorentzian kähler space-time manifolds
• solitons
• differential equations
• partial differential equations
• pseudo-quasi-conformal curvature tensor
• pseudo-$ w_8 $ curvature tensor
• nonlinear equations