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ON THE WELL-FORMULATION OF THE INITIAL VALUE PROBLEM OF METRIC-AFFINE f(R)-GRAVITY

S. CAPOZZIELLO

Dipartimento di Scienze Fisiche, Università "Federico II" di Napoli, via Cinthia, I-80126, Napoli, Italy

INFN Sez. di Napoli, Compl. Univ. Monte S. Angelo Ed. N, via Cinthia, I-80126, Napoli, Italy

Corresponding author.

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and

S. VIGNOLO

DIPTEM Sez. Metodi e Modelli Matematici, Università di Genova, Piazzale Kennedy, Pad. D-16129 Genova, Italy

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https://doi.org/10.1142/S0219887809003874Cited by:40 (Source: Crossref)

Abstract

We study the well-formulation of the initial value problem of f(R)-gravity in the metric-affine formalism. The problem is discussed in vacuo and in presence of perfect-fluid matter, Klein–Gordon and Yang–Mills fields. Adopting Gaussian normal coordinates, it can be shown that the problem is always well-formulated. Our results refute some criticisms to the viability of f(R)-gravity recently appeared in literature.

Keywords:

AMSC: 04.50.+h, 04.20.Ex, 04.20.Cv, 98.80.Jr

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