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Gravitational radiation and isotropic change of the spatial geometry · Around

2009

Gravitational radiation and isotropic change of the spatial geometry

Racz, Istvan

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To simplify a number of considerations in the weak field approximation, including the determination of the response of interferometric gravitational wave detectors, the "transverse traceless" (TT) gauge is often used.

While the identification of the corresponding gauge invariant part of the metric perturbations in the pure vacuum case is obvious, it is not widely known that the determination and the use of the TT part is much more complicated and, in turn, much less rewarding when sources are involved.
It is shown here that likewise the transverse part of the electric current in the Coulomb gauge within Maxwell's theory the sources of the TT gauge part of the metric perturbations become non-local.
This, in practice, invokes the necessity of the use of more adequate projection operators then the ones applied, e.g, in the weak field limit, and in many post-Newtonian considerations.

Built on

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R.M. Wald: General relativity
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T. Damour: On The Orbital Period Change Of The Binary Pulsar Psr-1913+16
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D. Christodoulou: Nonlinear nature of gravitation and gravitational wave experiments
Original
1991
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J.D. Jackson: Classical electrodynamics
1999
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Australia Telescope National Facility Pulsar Group, 2004, ”ATNF Pulsar Catalogue,” Australia Telescope National Facility Pulsar Group, on line [http://www.atnf.csiro.au/research/pulsar/psrcat/]
2004
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