Static conformally flat solutions in a general scalar-tensor theory of gravitation

Details Static conformally flat solutions in a general scalar-tensor theory of gravitation Static conformally flat solutions in a general scalar-tensor theory of gravitation

Nov 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14.1017r&link_type=abstract

General Relativity and Gravitation, vol. 14, Nov. 1982, p. 1017-1022.

Physics

15

Field Theory (Physics), Gravitation Theory, Scalars, Space-Time Functions, Tensor Analysis, Cosmology, Electromagnetic Interactions, Ideal Fluids

Scientific paper

Explicit field equations in the general scalar-tensor theory of gravitation proposed by Nordtvedt (1970) are obtained with the aid of a static spherically symmetric conformally flat metric. Exact static solutions of Nordtvedt-Barker field equations both in vacuum and in the presence of a source-free electromagnetic field are presented and studied. It is shown that there are no spherically symmetric static conformally flat solutions of Nordtvedt-Barker field equations representing perfect fluid distribution with disordered radiation obeying the equation of state rho = 3p, except for the trivial empty flat space-time of Einstein's theory.

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