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

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.

arXiv comment47 pages, no figure. Will appear in Axioms

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• Teleparallel Geometry with Spherical Symmetry: The diagonal and proper frames
• Scalar field source Teleparallel Robertson-Walker F(T)-gravity solutions
• Electromagnetic Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity
• Scalar Field Static Spherically Symmetric Solutions in Teleparallel $F(T)$ Gravity
• Electromagnetic Sources Teleparallel Robertson--Walker $F(T)$-Gravity Solutions
• Conceptual and Geometric Foundations for a Teleparallel Approach to Quantum Gravity
• Chaplygin and Polytropic gases Teleparallel Robertson-Walker $F(T)$ gravity solutions