Gravitational Radiation Theory and Light Propagation

Abstract

The paper gives an introduction to the gravitational radiation theory of isolated sources and to the propagation properties of light rays in radiative gravitational fields. It presents a theoretical study of the generation, propagation, back-reaction, and detection of gravitational waves from astrophysical sources. After reviewing the various quadrupole-moment laws for gravitational radiation in the Newtonian approximation, we show how to incorporate post-Newtonian corrections into the source multipole moments, the radiative multipole moments at infinity, and the back-reaction potentials. We further treat the light propagation in the linearized gravitational field outside a gravitational wave emitting source. The effects of time delay, bending of light, and moving source frequency shift are presented in terms of the gravitational lens potential. Time delay results are applied in the description of the procedure of the detection of gravitational waves.

21 pages, LaTex, to appear in C. Lämmerzahl, C.W.F. Everitt, F.W. Hehl (eds.): ``Gyros, Clocks, and Interferometers: Testing Relativistic Gravity in Space'', Springer-Verlag, Berlin 2000

References in corpus (2)

• Astrometric and Timing Effects of Gravitational Waves from Localized Sources
• Constructing a Mass-Current Radiation-Reaction Force For Numerical Simulations

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• Light propagation in 2PN approximation in the field of one moving monopole: I. Initial value problem
• A detailed proof of the fundamental theorem of STF multipole expansion in linearized gravity
• Light propagation in 2PN approximation in the monopole and quadrupole field of a body at rest: Initial value problem
• Post-linear metric of a compact source of matter
• General Relativistic Theory of Light Propagation in the Field of Radiative Gravitational Multipoles
• Post-linear metric of a solar system body