Gauge invariant treatment of gravitational radiation near the source: Analysis and numerical simulations
199010 pages
Published in:
- Phys.Rev.D 42 (1990) 2585-2594
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Abstract: (APS)
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.- gravitational radiation
- invariance: gauge
- perturbation theory
- expansion: multipole
- general relativity
- numerical calculations
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