Gauge-invariant treatment of gravitational radiation near the source: Analysis and numerical simulations

Details Gauge-invariant treatment of gravitational radiation near the source: Analysis and numerical simulations Gauge-invariant treatment of gravitational radiation near the source: Analysis and numerical simulations

Oct 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..42.2585a&link_type=abstract

Physical Review D (Particles and Fields), Volume 42, Issue 8, 15 October 1990, pp.2585-2594

Physics

43

Scientific paper

We discuss a procedure based on the use of multipole-moment expansions for matching numerical solutions for the gravitational-radiation field around a compact source to linear analytic solutions. Gauge-invariant perturbation theory is used to generate even- and odd-parity matching equations for each spherical harmonic order l,m. This technique determines asymptotic wave forms, valid in the local wave zone, from the numerically evolved fields in a weak-field annular region surrounding the isolated source. The separation of the wave form from near-zone and residual gauge effects is demonstrated using fully general-relativistic simulations of relativistic stars undergoing nonradial pulsation.

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