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arXiv · 0904.3686

The Cauchy problem for metric-affine f(R)-gravity in presence of perfect-fluid matter

S. Capozziello·S. Vignolo
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Abstract

The Cauchy problem for metric-affine f(R)-gravity `a la Palatini and with torsion, in presence of perfect fluid matter acting as source, is discussed following the well-known Bruhat prescriptions for General Relativity. The problem results well-formulated and well-posed when the perfect-fluid form of the stress-energy tensor is preserved under conformal transformations. The key role of conservation laws in Jordan and in Einstein frame is also discussed.

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S. Capozziello, S. Vignolo. 2009-04-23. The Cauchy problem for metric-affine f(R)-gravity in presence of perfect-fluid matter. https://doi.org/10.1088/0264-9381%2F26%2F17%2F175013

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