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arXiv · 1304.4209

Comparison of metrics from retarded integrals and transverse traceless subgauge

R. A. Lewis·G. Modanese
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Abstract

The time-varying gravitational field produced by a Weber bar is used to explore mathematical features of the linearized Einstein equation. We present a self-contained formal framework for the treatment of the linear field, which is applicable to several situations where the standard quadrupolar formulas are not adequate. The expressions for retarded integrals reveal a singularity associated with boundary conditions. Results from the transverse traceless subgauge are compared with the radiation calculated from retarded integrals. Lienard-Wiechert potentials are used in a treatment of the Weber bar as a collection of point particles and further possible applications are outlined. The Riemann tensor clarifies the transition from near-field geodesic forces to tidal forces in the far field.

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R. A. Lewis, G. Modanese. 2013-04-12. Comparison of metrics from retarded integrals and transverse traceless subgauge. https://doi.org/10.1142/s0217751x13500930

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