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Physics
Special and General Relativity
Gravitational Quadrupole Formula: Polarization Tensor
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[QUOTE="pervect, post: 6507555, member: 14402"] In "Gravitational radiation from point masses", by Peters & Mathews, [URL]http://gravity.psu.edu/numrel/jclub/jc/Peters_Mathews_PR_131_435_1963.pdf[/URL], the emitted power from gravitatioanal quadrupole radiation per unit solid angle ##\Omega## is given by: $$ \frac{dP}{d\Omega} = = \frac{ G} {8 \pi c^2 } \left( \frac { d^3 Q_{ij} } { dt^3} {e}^{ij} \right) $$ I'm somewhat familiar with the quadrupole moment Q_{ij}, but not the polarization tensor ##e_{ij}##. Any pointers as to how this tensor is defined and/or where I can find more information? I don't recall reading about this tensor in any of my texts, but it seems to be important in reducing the tensor quantity resulting from the 3d time derivative of Q_{ij} into a scalar that can be squared, then summed to give the total emitted power in gravitational radiation from the power/unit angle. [/QUOTE]
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Special and General Relativity
Gravitational Quadrupole Formula: Polarization Tensor
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