Show that conditions (i), (ii), and (iii) preceding Eq. (27.48) guarantee that the multipolar expansion of the
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Show that conditions (i), (ii), and (iii) preceding Eq. (27.48) guarantee that the multipolar expansion of the gravitational-wave fields will have the form (27.48).
Conditions
The wave fields h+ and h× in the source’s local wave zone must
(i) Be dimensionless,
(ii) Die out as 1/r,
(iii) Be expressed as a sum over derivatives of the multipole moments. These considerations guarantee that the waves will have the following form:
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Related Book For
Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics
ISBN: 9780691159027
1st Edition
Authors: Kip S. Thorne, Roger D. Blandford
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