2PostNewtonian Approximation of a Nonstationary Spherically Symmetric Star in Flat SpaceTime Theory of Gravitation
Abstract
Starting from a previously stated theory of gravitation in flat spacetime the 2postNewtonian approximation of a nonstationary spherically symmetric star is derived. The theory forces retarded effects for one part of the solutions of the 2postNewtonian approximation. The equations of motion and the conserved total energy of a nonstationary star are given up to 2postNewtonian 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 2postNewtonian approximation relative to Einstein's theory.
 Publication:

Astrophysics and Space Science
 Pub Date:
 September 1994
 DOI:
 10.1007/BF00628237
 Bibcode:
 1994Ap&SS.219..183P
 Keywords:

 Approximation;
 Energy Conservation;
 Gravitation Theory;
 Gravitational Fields;
 Newton Theory;
 Relativity;
 SpaceTime Functions;
 Stellar Models;
 Symmetrical Bodies;
 Boundary Conditions;
 Differential Equations;
 Equations Of Motion;
 Taylor Series;
 Tensor Analysis;
 Astrophysics