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

The Cauchy problem for metric-affine f(R)-gravity in the manner of Palatini and with torsion, in the presence of perfect fluid matter acting as a source, is discussed following the well-known Bruhat prescriptions for general relativity. The problem results in being well formulated and well posed whe...

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Bibliographic Details
Published in:Classical and quantum gravity 2009-09, Vol.26 (17), p.175013-175013 (11)
Main Authors: Capozziello, S, Vignolo, S
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
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Summary:The Cauchy problem for metric-affine f(R)-gravity in the manner of Palatini and with torsion, in the presence of perfect fluid matter acting as a source, is discussed following the well-known Bruhat prescriptions for general relativity. The problem results in being well formulated and well posed when the perfect-fluid form of the stress-energy tensor is preserved under conformal transformations and the set of viable f(R)-models is not empty. The key role of conservation laws in the Jordan and in the Einstein frame is also discussed.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/26/17/175013