Static spherically symmetric perfect fluid solutions in teleparallel F(T) gravity

TL;DR

This paper derives new static spherically symmetric solutions in teleparallel F(T) gravity with perfect fluids, expanding the understanding of possible models for astrophysical and cosmological phenomena.

Contribution

It introduces several novel classes of exact and approximate solutions in teleparallel F(T) gravity with perfect fluids, including linear, non-linear, and dust matter cases.

Findings

Multiple new exact solutions for perfect fluids in F(T) gravity.

Discovery of solutions relevant for cosmological and astrophysical modeling.

Introduction of a power-law ansatz leading to diverse solution classes.

Abstract

In this paper, we investigate static spherically symmetric teleparallel F(T) gravity containing a perfect isotropic fluid. We first write the field equations and proceed to find new teleparallel F(T) solutions for perfect isotropic and linear fluids. By using a power-law ansatz for the coframe components, we find several classes of new non-trivial teleparallel F(T) solutions. We also find a new class of teleparallel F(T) solutions for a matter dust fluid. After we solve the field equations for a non-linear perfect fluid. Once again, there are several new exact teleparallel F(T) solutions and also some approximated teleparallel F(T) solutions. All these classes of new solutions may be relevant for future cosmological and astrophysical applications.