Initial data sets of minimal energy

Details Initial data sets of minimal energy Initial data sets of minimal energy

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cmaph.117..625r&link_type=abstract

Communications in Mathematical Physics, Volume 117, Issue 4, pp.625-638

Mathematics

Mathematical Physics

4

Scientific paper

The total mass of a gravitational system, the ADM mass, is considered as a functional of the initial data sets for sources and gravitation. From the condition that such a functional has a minimum under a restricted class of variations, tensorial equations for the gravitational initial data are obtained. The solutions to these equations, whose existence for a large class of source fields is asserted, represent initial data sets for gravitation satisfying the constraint equations and may be considered as having no gravitational radiation.

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