Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
In: Galaxies, Axisymmetric Systems and Relativity, ed. {MacCallum}, M.~A.~H., pp. 99-114 (1985)
The exact radiative solutions of Einstein's vacuum field equations representing finite sources and admitting global null infinity are reviewed. Robinson-Trautman solutions are first briefly mentioned. The boost-rotation symmetric solutions, representing uniformly accelerated objects, are then treated and their radiative properties are discussed. It is argued that the boost-rotation symmetric solutions, such as the solution of Bonnor&Swaminaryan, the C-metric, and their generalizations, may long remain the only radiative solutions available to test both the theory of the asymptotic structure of the spacetime and various approximation methods. For example, an "octupole formula" for gravitational radiation can be verified on the basis of the exact solution. Physically unrealistic features of the boost-rotation symmetric solutions of Einstein's equations already appear with the boost-rotation symmetric solutions of Maxwell's equations. Nevertheless, "from the point of view of the [electromagnetic] radiation, motion with constant acceleration does not differ qualitatively at all from radiation produced in arbitrarily accelerated motion..." (Ginzburg, 1970)
General Relativity:Gravitational Radiation, Gravitational Radiation:General Relativity
@inproceedings{UTF302,
author = {Bičák, J.},
title = {{On exact radiative solutions representing finite sources.}},
booktitle = {Galaxies, Axisymmetric Systems and Relativity},
editor = {\{MacCallum\}, M.\textasciitilde{}A.\textasciitilde{}H.},
number = {0},
pages = {99-114},
year = {1985},
}