2-post-Newtonian approximation of a nonstationary spherically symmetric star in flat space-time theory of gravitation

Details 2-post-Newtonian approximation of a nonstationary spherically symmetric star in flat space-time theory of gravitation 2-post-Newtonian approximation of a nonstationary spherically symmetric star in flat space-time theory of gravitation

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ap%26ss.219..183p&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 219, no. 2, p. 183-210

Astronomy and Astrophysics

Astrophysics

1

Approximation, Energy Conservation, Gravitation Theory, Gravitational Fields, Newton Theory, Relativity, Space-Time Functions, Stellar Models, Symmetrical Bodies, Boundary Conditions, Differential Equations, Equations Of Motion, Taylor Series, Tensor Analysis

Scientific paper

Starting from a previously stated theory of gravitation in flat space-time the 2-post-Newtonian approximation of a nonstationary spherically symmetric star is derived. The theory forces retarded effects for one part of the solutions of the 2-post-Newtonian approximation. The equations of motion and the conserved total energy of a nonstationary star are given up to 2-post-Newtonian order. The solution in the exterior of the body is studied to this accuracy. Birkhoff's theorem is violated. For the special case of a static spherically symmetric star we get deviations of the exterior solution in the 2-post-Newtonian approximation relative to Einstein's theory.

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