General properties of vacuum solutions of () gravity are obtained by the condition that the divergence of the Weyl tensor is zero and ′′≠0. Specifically, a theorem states that the gradient of the curvature scalar, ∇, 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.
General properties of f(R) gravity vacuum solutions / S. Capozziello, C.A. Mantica, L.G. Molinari. - In: INTERNATIONAL JOURNAL OF MODERN PHYSICS D. - ISSN 0218-2718. - 29:13(2020 Oct). [10.1142/S0218271820500893]
General properties of f(R) gravity vacuum solutions
C.A. Mantica;L.G. MolinariUltimo
2020
Abstract
General properties of vacuum solutions of () gravity are obtained by the condition that the divergence of the Weyl tensor is zero and ′′≠0. Specifically, a theorem states that the gradient of the curvature scalar, ∇, 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.
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