Null geodesics in the gravitational field of a rotating, radiating body.

Details Null geodesics in the gravitational field of a rotating, radiating body. Null geodesics in the gravitational field of a rotating, radiating body.

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jmp....34.1007h&link_type=abstract

Journal of Mathematical Physics, Vol. 34, No. 3, p. 1007 - 1015

Mathematics

Mathematical Physics

2

Scientific paper

A solution of the Einstein field equations for a rotating radiating body was presented by Carmeli and Kaye in 1977 [Ann. Phys. 103, 97 (1977)]. Their paper presented a new line element along with the corresponding energy-momentum tensor for the radiation field. The Newman-Penrose formalism [J. Math. Phys. 3, 566 (1962)] was used to solve and analyze the new solution which lead to the tetrad components of the Ricci, Maxwell, and Weyl tensors. However, no attempt was made to solve the geodesic equation in this new metric. The present paper starts with a linearized form of the Carmeli and Kaye line element and solves the resulting differential equations to a particular order for a null geodesic. The deflection angle is found from the equations of motion and compared in detail for the two cases of a rotating, highly luminous quasar and the Sun.

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