Classification of exact Bianchi type V cosmological solutions via conformal vector fields admitting energy conditions in f(T) gravity

Abstract

The aim of this paper is to discuss exact Bianchi-type V cosmological solutions via conformal vector fields (CVFs) admitting energy conditions within the framework of f(T) gravity. For this study, we first derive the Einstein field equations (EFEs) by considering the Bianchi type V space–times in f(T) gravity. We formulate the exact Bianchi type V metrics in f(T) gravity by imposing certain constraints on space–time components. In particular, we emphasize extracting the power law, exponential, and singular solutions. We plot the dynamical parameters of the obtained solutions versus cosmic time t to observe their behavior graphically. We analyze the metrics via CVFs in order to sort out conservation laws. We also discuss several cosmological constraints for each of the obtained solutions. Furthermore, to check the physical soundness of the resultant metrics, we find several constraints under which the solutions admit energy conditions.

Keywords

• Bianchi type V space–times in f(T) gravity
• CVFs
• Direct integration technique
• Dynamical parameters
• Cosmological constraints
• Energy conditions