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. © 2009 IOP Publishing Ltd.
The Cauchy problem for metric-affine f(R)-gravity in the presence of perfect-fluid matter / Capozziello, S.; Vignolo, S.. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 26:17(2009), p. 175013. [10.1088/0264-9381/26/17/175013]
The Cauchy problem for metric-affine f(R)-gravity in the presence of perfect-fluid matter
Capozziello S.
;
2009
Abstract
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. © 2009 IOP Publishing Ltd.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
