Generalized Model for $\Lambda$-Dark Energy

TL;DR

This paper explores solutions to Einstein's field equations with a dynamic cosmological constant related to the Hubble parameter, analyzing cosmic parameters without preset curvature or equation of state assumptions.

Contribution

It introduces a generalized model for $ ext{Lambda}$-dark energy considering a two-fluid structure, expanding beyond traditional single-fluid cosmological models.

Findings

Derived solutions for a kinematical $ ext{Lambda}$ model without fixed curvature.

Analyzed cosmic density $ ext{Omega}$ and deceleration parameter $q$ in a two-fluid context.

Provided insights into the nature of dark energy and cosmic evolution.

Abstract

Einstein field equations under spherically symmetric space-times are considered here in connection to dark energy investigation. A set of solutions are obtained for a kinematical $\Lambda$ model, viz., $\Lambda \sim (\dot a/a)^2$ without assuming any {\it a priori} value for the curvature constant and the equation of state parameter $\omega$. Some interesting results, such as the nature of cosmic density $\Omega$ and deceleration parameter $q$, have been obtained with the consideration of two-fluid structure instead of usual uni-fluid cosmological model.