Approaches to Spherically Symmetric Solutions in f(T) Gravity
Alexey GolovnevCentre for Theoretical Physics, The British University in Egypt, El Sherouk City 11837, EgyptMaría-José GuzmánDepartamento de Física y Astronomía, Facultad de Ciencias, Universidad de La Serena, La Serena 1720236, Chile
2021en
ABI
Abstract
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.
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