Approaches to Spherically Symmetric Solutions in f(T) Gravity
Alexey Golovnev, María-José Guzmán
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.
Topics & Concepts
PhysicsSimple (philosophy)Work (physics)Function (biology)Classical mechanicsMathematical physicsExact solutions in general relativityGravitationPerturbation theory (quantum mechanics)Circular symmetryTheoretical physicsf(R) gravityMathematical analysisGeneral relativityCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories