Physics
Scientific paper
Feb 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvd..55.1971f&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 55, Issue 4, 15 February 1997, pp.1971-1976
Physics
6
Spacetime Topology, Causal Structure, Spinor Structure, Asymptotic Structure
Scientific paper
For a rich class of asymptotically flat vacuum space-times, we show that it is possible to introduce a global coordinate system in a canonical fashion that is analogous to the standard Minkowskian coordinate systems used in flat space. This is accomplished by studying the intersection of the future light cone of interior space-time points with future null infinity. This intersection, referred to as a light cone cut of future null infinity, is piecewise a two-surface which can be described analytically by a function of the coordinates of null infinity. This function (the light cone cut function) can be given a special spherical-harmonic decomposition with the coefficients depending on the interior points. The canonical pseudo-Minkowskian coordinates are defined from the four coefficients of the l=0,1 spherical harmonics. In Minkowski space-time this prescription yields precisely the standard Cartesian flat coordinates.
Frittelli Simonetta
Newman Ezra Ted
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