Mathematics
Scientific paper
Aug 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..803p&link_type=abstract
General Relativity and Gravitation, vol. 14, Aug. 1982, p. 803-816.
Mathematics
7
Field Theory (Physics), Gravitation Theory, Gravitational Fields, Symmetrical Bodies, Covariance, Relativity, Singularity (Mathematics), Space-Time Functions, Spherical Harmonics
Scientific paper
A simple covariant form of a previously published theory of gravity is obtained by introducing new field variables, and is applied to static spherically symmetric solutions of a perfect fluid with pressure. Inertial and gravitational mass are identical. Using perturbation methods, the solution in the exterior of the body is obtained up to fourth order in the coupling constant. In contrast to the theory of general relativity, the solutions consist of a one-parametric family. Both theories agree at least up to the second order in the coupling constant and in some cases also up to the fourth order, using harmonic coordinates in Einstein's theory. Numerical methods are used to continue the perturbated solutions for larger values of the coupling constant. Finally, it is shown that under some physically natural conditions the solutions of a static spherically symmetric body are not singular.
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