Einstein-Maxwell Fields in Asymptotically Null-Spherical Coordinates

Details Einstein-Maxwell Fields in Asymptotically Null-Spherical Coordinates Einstein-Maxwell Fields in Asymptotically Null-Spherical Coordinates

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977pthph..58..829p&link_type=abstract

Progress of Theoretical Physics, Vol. 58, No. 3, pp. 829-841

Physics

5

Scientific paper

The behavior of asymptotically flat Einstein-Maxwell fields is studied in generalized coordinates u, r, &theta and φ that become null-spherical only at infinity. The field equations satisfied by the metric and the electromagnetic tensors are derived in the first and second approximations, i.e., for the first and second non-zero powers of r-1 in the Einstein and Maxwell equations. The peeling property of the tetrad components of the Weyl and the electromagnetic tensors is established for arbitrary tetrad. From the Landau-Lifshitz complex the energy and linear momentum radiated per unit time by the gravitational and the electro-magnetic fields are expressed in terms of the gravitational and electromagnetic news functions in the generalized coordinates. Finally the transformations which preserve the form of the metric are examined.

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