Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant

Details Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant

Nov 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cqgra..13.3075k&link_type=abstract

Classical and Quantum Gravity, Volume 13, Issue 11, pp. 3075-3084 (1996).

Mathematics

Logic

9

Scientific paper

The existence of smooth hyperboloidal initial data sets for the vacuum Einstein equations with non-zero cosmological constant 0264-9381/13/11/021/img1 is studied. Supposing that the trace 0264-9381/13/11/021/img2 of the (physical) second fundamental form of the initial hypersurface is constant, there is a correspondence between the solutions of the vacuum constraints with and without cosmological constant, respectively. This enables us to extend the results proved by Andersson and Chrusciel about the smoothness of the initial data with zero cosmological constant to the case 0264-9381/13/11/021/img3.

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