Gravitational radiation field of an isolated system at null infinity

1990 ◽  
Vol 431 (1882) ◽  
pp. 337-344 ◽  
Keyword(s):  
Radiation Field ◽  
Gravitational Radiation ◽  
High Frequency ◽  
Radiation Flux ◽  
Flat Space ◽  
Background Field ◽  
Null Infinity ◽  
Present Treatment ◽  
New Formula ◽  
Space Result

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.

Gravitational radiation near spatial and null infinity

1987 ◽  
Vol 410 (1838) ◽  
pp. 201-208 ◽  
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.

Asymptotic behaviour near past null infinity for scattering problems

1977 ◽  
Vol 55 (10) ◽  
pp. 855-860 ◽  
Author(s):  
Martin Walker
Keyword(s):  
Asymptotic Behaviour ◽  
Impact Parameter ◽  
Approximation Scheme ◽  
Flat Space ◽  
Difficult Problem ◽  
Space Time ◽  
The Other ◽  
Null Infinity ◽  
Scattering Problems ◽  
Gravitational Systems

The following problem is treated: two particles move toward each other from infinity with equal but opposite velocities and finite impact parameter. Each particle is deflected by the field of the other. The particles recede, finally, back out to infinity. Electromagnetic and gravitational interactions between the particles are considered. It is shown, in both cases, that the use of retarded interactions, in an approximation scheme which begins with no interaction in flat space-time, guarantees the absence of incoming radiation. This result may be of relevance to the much more difficult problem of the description of bounded, isolated, gravitational systems.

Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity

2019 ◽  
Vol 16 (01) ◽  
pp. 1-34 ◽  
Author(s):  
Yannis Angelopoulos ◽  
Stefanos Aretakis ◽  
Dejan Gajic
Keyword(s):  
Radiation Field ◽  
Late Time ◽  
Spherically Symmetric ◽  
Null Infinity ◽  
Asymptotically Flat ◽  
Black Hole Spacetimes ◽  
Logarithmic Corrections ◽  
Time Asymptotics ◽  
Physics Literature ◽  
Field Of Solutions

We obtain the second-order late-time asymptotics for the radiation field of solutions to the wave equation on spherically symmetric and asymptotically flat backgrounds including the Schwarzschild and sub-extremal Reissner–Nordström families of black hole spacetimes. These terms appear as logarithmic corrections to the leading-order asymptotic terms which were rigorously derived in our previous work. Such corrections have been heuristically and numerically derived in the physics literature in the case of a non-vanishing Newman–Penrose constant. In this case, our results provide a rigorous confirmation of the existence of these corrections. On the other hand, the precise logarithmic corrections for spherically symmetric compactly supported initial data (and hence, with a vanishing Newman–Penrose constant) explicitly obtained here appear to be new.

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