Scalar-vector-tensor gravity from preferred reference frame effects

Details Scalar-vector-tensor gravity from preferred reference frame effects Scalar-vector-tensor gravity from preferred reference frame effects

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008gregr..40.2229g&link_type=abstract

General Relativity and Gravitation, Volume 40, Issue 10, pp.2229-2239

Mathematics

Logic

1

Euclidean Jordan&Ndash, Brans&Ndash, Dicke Theory, Preferred Reference Frame Effects, Metric Signature Transition, Classical Cosmology, Robertson&Ndash, Walker Metric, Nonsingular Prefect Fluid Solution, De Sitter-Like Vacuum Solution, Euclidean Jordan–Brans–Dicke Theory, Robertson–Walker Metric

Scientific paper

Using some suitable combinations of a dynamical unit time-like four-velocity of a preferred reference frame, Ricci tensor and covariant derivatives of the Brans-Dicke (BD) scalar field, we propose a new scalar-vector-tensor gravity model in which an Euclidean Jordan-Brans-Dicke (JBD) action is reduced to its Lorentzian version with no used complex coordinates. Thus it should be play an important role in the process of metric signature transition of a suitable dynamical curved space-time. In this work we follow the ideas proposed by Barbero et al. As an application of the model, we study a classical perfect fluid cosmological universe described in a flat Robertson-Walker background metric. Mathematical derivations of the equations predict a non-singular scale factor for the space-time in the both of dust and radiation dominated states where value of the Brans-Dicke parameter {ω} is fixed, but there is still an arbitrary parameter which should be determined by the boundary values of the cosmological system. Furthermore its classical cosmological vacuum solutions is obtained as a non-singular model with a fixed Brans-Dicke parameter. Although there is obtained a singular perfect fluid cosmological solution which may not be suitable, because in this case the Brans-Dicke parameter is not still fixed.

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