Gravitational radiation near spatial and null infinity

Details Gravitational radiation near spatial and null infinity Gravitational radiation near spatial and null infinity

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.410..201s&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 410, no. 1838, March 9

Physics

3

Einstein Equations, Gravitational Waves, Infinity, Mass, Space-Time Functions, Spatial Distribution

Scientific paper

The effect of mass on the behavior of the solutions to the Einstein equations near spacelike infinity is investigated analytically, taking the approach of Bondi et al. (1962) to its extreme by incorporating both 1/r and 1/u expansions. An expansion is obtained near I(0) which includes spacelike and null direction, and it is found that imposition of analytic behavior at u = u0 and 'nice' behavior of gamma(1) at I(0) leads to (1/r to the 8th)(ln r) behavior along spacelike slices and along past-directed null hypersurfaces.

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