Approximation Method for the Relaxed Covariant Form of the Gravitational Field Equations for Particles

Abstract

We present a study of the so called relaxed field equations of general relativity in terms of a decomposition of the metric; which is designed to deal with the notion of particles. Several known results are generalized to a coordinate free covariant discussion. We apply our techniques to the study of a particle up to second order.

Share and Cite:

Gallo, E. and Moreschi, O. (2012) Approximation Method for the Relaxed Covariant Form of the Gravitational Field Equations for Particles. Journal of Modern Physics, 3, 1247-1254. doi: 10.4236/jmp.2012.329161.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] H. Friedrich, “On the Hyperbolicity of Einstein’s and Other Gauge Field Equations,” Communications in Mathematical Physics, Vol. 100, No. 4, 1985, pp. 525-543. Hdoi:10.1007/BF01217728
[2] M. Walker and C. M. Will, “The Approximation of Radiative Effects in Relativistic Gravity-Gravitational Radiation Reaction and Energy Loss in Nearly Newtonian Systems,” Astrophysical Journal, Vol. 242, 1980, pp. L129-L133. Hdoi:10.1086/183417
[3] J. L. Anderson, “Satisfaction of deDonder and Trautman Conditions by Radiative Solutions of the Einstein Field Equations,” General Relativity and Gravitation, Vol. 4, No. 4, 1973, pp. 289-297. Hdoi:10.1007/BF00759848
[4] A. Einstein, L. Infeld and B. Hoffmann, “The Gravitational Equations and the Problem of Motion,” Annals of Mathematics, Vol. 39, No. 1, 1938, pp. 65-100. Hdoi:10.2307/1968714

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.