Tensor-multi-scalar theories of gravitation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Field Theory (Physics), Gravitation Theory, Gravitational Fields, Gravitational Waves, Neutron Stars, Pulsars, Stellar Gravitation, Relativity, Scalars, Tensors

Scientific paper

A generic class of theories where gravity is mediated by one tensor field together with an arbitrary number of scalar fields is considered. The predictions of these theories are worked out in four different observationally relevant regions: (1) quasi-stationary weak fields (solar system conditions); (2) rapidly-varying weak fields (gravitational wave experiments); (3) quasi-stationary strong fields (motion of systems of compact bodies, i.e., neutron stars or black holes); and (4) the mixing of strong and radiative field effects in the gravitational radiation of N-compact-body systems. Moreover, several significant relations between the theoretical quantities entering these predictions are derived. They show how strong-field-gravity effects in the motion and gravitational radiation of N-compact-body systems can be parametrized by a set of theory parameters that generalize the usual post-Newtonian parameters (gamma, beta,...) introduced in the context of quasi-stationary weak gravitational fields. These new parameters (beta(2), beta(prime), beta(3), beta(double prime),...) provide a chart for the yet essentially unexplored domain of strong-gravitational-field effects, and thereby suggest new directions for testing relativistic gravity. This is illustrated by studying in detail a specific two-parameter tensor-bi-scalar theory T(beta(prime), beta(double prime)) which has the same post-Newtonian limit as general relativity but leads to new, non-Einsteinian predictions for the various observables that can be extracted from binary pulsar data.

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