Gravitational Waves in General Relativity
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In this paper, the emission of gravitational waves from a finite isolated axially symmetrical material system in otherwise empty space has been investigated by consideration of the metric : Einstein vacuum field equations have been solved by an expansion in negative powers of r which represents radial distance in a well-defined sense.Abstract:
THE emission of gravitational waves from a finite isolated axially symmetrical material system in otherwise empty space has been investigated by consideration of the metric : Einstein vacuum field equations have been solved by an expansion in negative powers of r which represents radial distance in a well-defined sense. In this expansion it has been assumed that only outgoing waves are present. The expression : represents mass in the static case, and forms a suitable generalization of this static concept to the dynamical case.read more
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Gravitational Waves in General Relativity. VII. Waves from Axi-Symmetric Isolated Systems
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Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries.
TL;DR: The current state of the art on post-Newtonian methods as applied to the dynamics and gravitational radiation of general matter sources (including the radiation reaction back onto the source) and inspiralling compact binaries is presented.
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Zero rest-mass fields including gravitation: asymptotic behaviour
TL;DR: In this article, the authors considered the problem of defining spin s fields in special relativity and showed that they exhibit the characteristic peeling-off behavior of Sachs, namely that to order r - k -1 (k = 0,..., 2 s ), 2 s - k of them coincide radially, r being a linear parameter in any advanced or retarded radial direction.
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On BMS Invariance of Gravitational Scattering
TL;DR: In this paper, the results of Christodoulou and Klainerman were applied within a suitable finite neighborhood of the Minkowski vacuum to identify diagonal elements BMS0 of BMS+ × BMS−.
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BMS supertranslations and Weinberg’s soft graviton theorem
TL;DR: In this article, it was conjectured that a certain infinite-dimensional subgroup of BMS supertranslations acting on past and future null infinity is an exact symmetry of the quantum gravity S-matrix, and an associated Ward identity was derived.
References
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Equations of motion and gravitational radiation
TL;DR: In this paper, the authors considered whether a system of gravitational masses radiates energy and showed that it can always find a reasonable coordinate system in which there is no gravitational radiation, and the answer is that it is possible to find such a coordinate system without any gravitational radiation.