Abstract
We investigate static spherically-symmetric configurations of gravitating masses in the bimetric scalar-tensor theory of gravitation. In the gravitational sector, the theory contains the metric tensor, a scalar field and a background metric as an absolute variable of the theory. The analysis is presented for the simplest version of the theory with a constant coupling function and a zero cosmological function. We show that, depending on the value of the theory parameter, the masses for superdense compact configurations can be essentially larger compared to the configurations in general relativity.
Highlights
The scalar-tensor theories are among the most popular alternatives of general relativity
In [17,18,19,20], we have suggested a variant of scalar-tensor theories involving a second non-dynamical metric tensor: the bimetric scalar-tensor theory (BSTT)
In BSTT, the scalar field is sourced by Λg, which has the order v4, and related to that, the variations of scalar field in post-Newtonian systems are of the order v4 if the theory parameter is not too small (in the variations, the parameter ζ enters in the form 1/ζ (see, for example, (18)))
Summary
The scalar-tensor theories are among the most popular alternatives of general relativity. If the value of the coupling function of the theory at the recent stage of the universe’s expansion is not too small, the post-Newtonian parameters of BSTT coincide with those in general relativity This is in contrast to usual scalar-tensor theories (an example is the Brans–Dicke theory), where the comparison of the post-Newtonian approximation of the theory with the observational data imposes relatively strong restrictions on the parameters. The BSTT is of class N2 in E(2) classification of the gravitational wave polarization of metric theories of gravity This means that in BSTT, the weak perturbations for the metric and scalar field propagate independently.
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