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

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

2009-04-23

arxiv.org/abs/0904.3686v1

Class.Quant.Grav.26:175013,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

10.1088/0264-9381/26/17/175013

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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