Multiple expansions for energy and momenta carried by gravitational waves.
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Multiple expansions for energy and momenta carried by gravitational waves.

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Multiple expansions for energy and momenta carried by gravitational waves.

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Ruiz Meneses, Milton Javier; Takahashi, Ryoji; Alcubierre, Miguel; Núñez, Darío
This document is a artículoDate2007

We present expressions for the energy, linear momentum and angular momentum carried away from an isolated system by gravitational radiation based on spin-weighted spherical harmonics decomposition of the Weyl scalar Ψ 4. We also show that the expressions derived are equivalent to the common expressions obtained when using a framework based on perturbations of a Schwazschild background. The main idea is to collect together all the different expressions in a uniform and consistent way. The formulae presented here are directly applicable to the calculation of the radiated energy, linear momentum and angular momentum starting from the gravitational waveforms which are typically extracted from numerical simulations.

    Ruiz Meneses, Milton Javier Takahashi, Ryoji Alcubierre, Miguel Núñez, Darío 2007 Multiple expansions for energy and momenta carried by gravitational waves. General Relativity and Gravitation 40 1705 1729
https://doi.org/10.1007/s10714-007-0570-8

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