On gravitational radiation with axial symmetry

Statistics – Computation

Scientific paper

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Gravitational Waves, Space-Time Functions, Symmetry, Computational Astrophysics, Einstein Equations, Field Theory (Physics), Schwarzschild Metric

Scientific paper

General results are obtained for Robinson-Trautman metrics which satisfy reasonable conditions for radiation from a bounded source. For the axially symmetrical case, the degree of the one field equation is reduced from 5 to 2; a simplified proof is given of the Lukacs-Perjes-Porter-Sebestyen theorem and a systematic procedure is developed for formal solution in series.

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