General properties of f(R) gravity vacuum solutions
Salvatore Capozzıello, Carlo Alberto Mantica, Luca Guido Molinari
Abstract
General properties of vacuum solutions of [Formula: see text] gravity are obtained by the condition that the divergence of the Weyl tensor is zero and [Formula: see text]. Specifically, a theorem states that the gradient of the curvature scalar, [Formula: see text], is an eigenvector of the Ricci tensor and, if it is timelike, the spacetime is a Generalized Friedman–Robertson–Walker metric; in dimension four, it is Friedman–Robertson–Walker.
Topics & Concepts
Physicsf(R) gravityGravitationTheoretical physicsMathematical physicsClassical mechanicsQuantum gravityQuantum mechanicsQuantumCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsAdvanced Differential Geometry Research