Approaches to spherically symmetric solutions in f(T) gravity
We study properties of static spherically symmetric solutions in f (T) gravity. Based on our previous work on generalizing Bianchi identities for this kind of theory, we show how this search for solutions can be reduced to the study of two relatively simple equations. One of them does not depend on the function f and therefore describes the properties of such solutions in any f (T) theory. Another equation is the radial one and, if a possible solution is chosen, it allows the discovery of which function f is suitable for it. We use these equations to find exact and perturbative solutions for arbitrary and specific choices of f .
Golovnev, Alexey and Guzmán, María José, "Approaches to spherically symmetric solutions in f(T) gravity" (2021). Centre for Theoretical Physics. 199.