Measurability analysis of the electric-type components of the linearized gravitational radiation field

The quadrupole and octupole contributions to the gravitational radiation flux at null infinity from an initially stationary isolated system are computed in terms of the asymptotic moments defined there. The present treatment incorporates the influence of the background field of the source while still neglecting the nonlinear self-interaction of the radiation. Compared with the flat space result, the new formula predicts a suppression of the contribution from the high-frequency modes for which the frequency ω satisfies GM 0 ω / c 3 ≫ 1, M 0 being the initial mass of the system.

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Gravitational waves and the radiative field

10.1093/oso/9780198786399.003.0053 ◽

2018 ◽

Author(s):

Nathalie Deruelle ◽

Jean-Philippe Uzan

Keyword(s):

General Relativity ◽

General Solution ◽

Gravitational Waves ◽

Radiation Field ◽

Gravitational Radiation ◽

Gravitational Force ◽

Energy Momentum Tensor ◽

Momentum Tensor ◽

Einstein Equations ◽

Maxwell Theory

This chapter turns to the gravitational radiation produced by a system of massive objects. The discussion is confined to the linear approximation of general relativity, which is compared with the Maxwell theory of electromagnetism. In the first part of the chapter, the properties of gravitational waves, which are the general solution of the linearized vacuum Einstein equations, are studied. Next, it relates these waves to the energy–momentum tensor of the sources creating them. The chapter then turns to the ‘first quadrupole formula’, giving the gravitational radiation field of these sources when their motion is due to forces other than the gravitational force.

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Resonance photons in a gravitational radiation field and the regularization problem for the energy-momentum tensor

Russian Physics Journal ◽

10.1007/bf00558958 ◽

1994 ◽

Vol 37 (10) ◽

pp. 976-980

Author(s):

A. B. Balakin ◽

D. N. Gorokhov

Keyword(s):

Radiation Field ◽

Gravitational Radiation ◽

Energy Momentum Tensor ◽

Momentum Tensor ◽

Regularization Problem

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Gravitational radiation near spatial and null infinity

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1987.0034 ◽

1987 ◽

Vol 410 (1838) ◽

pp. 201-208 ◽

Cited By ~ 3

Keyword(s):

Radiation Field ◽

Gravitational Radiation ◽

Null Infinity ◽

Adm Mass ◽

Formal Expansion ◽

Bondi Mass ◽

Expansion Coefficients ◽

Analytic Behaviour

Taking Bondi’s approach to an extreme by adding a 1/ u -expansion to the usual 1/ r -expansion, one can study the effects of the presence of mass at space-like infinity. Assuming convergence of the formal expansion one finds: (1) the limit of the Bondi mass agrees with the ADM-mass of certain space-like hypersurfaces; (2) relations between expansion coefficients on space-like hypersurfaces and the radiation field on J + can be given; (3) analytic properties in J + lead to non-analytic behaviour on space-like hypersurfaces.

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