Mathematics
Scientific paper
Nov 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cqgra...3.1069s&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 3, Nov. 1, 1986, p. 1069-1104.
Mathematics
8
Angular Momentum, Asymptotic Methods, Einstein Equations, Formalism, Mass, Hermitian Polynomial, Matrices (Mathematics), Quadrupoles
Scientific paper
The quasi-local measures of mass and momentum induced by Hawking, Ludvigsen and Vickers and Penrose are calculated for spheres near null infinity. Asymptotic expansions for the connection of an Einstein-Maxwell spacetime are obtained and an expansion of the 2-surface twistor equations is developed. Exact solutions are obtained for stationary spacetimes. For such spacetimes, unphysical contributions to the quasi-local mass found in Hawking and Ludvigsen-Vickers definitions are eliminated in the twistor construction at the orders considered. In the twistor approach the total angular momentum contributes to the effective vacuum energy density and the absolutely conserved quantities associated with the Maxwell field contribute to the field momentum densities. The angular momentum twistor is found to have the required hermiticity properties with a particular choice of the twistor norm.
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