Computer Science
Scientific paper
May 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..10..609p&link_type=abstract
General Relativity and Gravitation, vol. 10, May 1979, p. 609-622.
Computer Science
6
Cosmology, Gravitational Fields, Relativity, Space-Time Functions, Asymptotic Methods, Covariance, Energy Transfer, Momentum Transfer
Scientific paper
It is shown that in an asymptotically flat spacetime a 'flat metric' can be naturally determined so that the energy and momenta of the spacetime are covariantly defined by the Landau-Lifshitz complex. Specifically, it is shown that the asymptotic form of the regular metric determines uniquely the asymptotic form of the flat metric to such an extent that the Landau-Lifshitz energy and momenta are independent of the remaining freedom in the flat metric, are equal to the corresponding components of the Bondi energy momentum, and transform as components of a free Lorentz vector under general BMS transformations. Thus the Landau-Lifshitz prescription is completely equivalent to the Bondi method.
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