On the well formulation of the Initial Value Problem of metric--affine $f(R)$-gravity

Details On the well formulation of the Initial Value Problem of metric--affine $f(R)$-gravity On the well formulation of the Initial Value Problem of metric--affine $f(R)$-gravity

2009-01-20

arxiv.org/abs/0901.3136v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

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.

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