期刊
GENERAL RELATIVITY AND GRAVITATION
卷 40, 期 8, 页码 1705-1729出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-007-0570-8
关键词
gravitational waves; energy and momenta; multipole expansions; numerical relativity
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 Psi(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.
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