Light deflection in the postlinear gravitational field of bounded pointlike masses

Michael H. Brügmann
Phys. Rev. D 72, 024012 – Published 14 July 2005

Abstract

Light deflection in the postlinear gravitational field of two bounded pointlike masses is treated. Both the light source and the observer are assumed to be located at infinity in an asymptotically flat space. The equations of light propagation are explicitly integrated to the second order in G/c2. Some of the integrals are evaluated by making use of an expansion in powers of the ratio of the relative separation distance to the impact parameter (r12/ξ). A discussion of which orders must be retained to be consistent with the expansion in terms of G/c2 is given. It is shown that the expression obtained in this paper for the angle of light deflection is fully equivalent to the expression obtained by Kopeikin and Schäfer up to the order given there. The deflection angle takes a particularly simple form for a light ray originally propagating orthogonal to the orbital plane of a binary with equal masses. Application of the formulas for the deflection angle to the double pulsar PSR J0737-3039 for an impact parameter 5 times greater than the relative separation distance of the binary’s components shows that the corrections to the Epstein-Shapiro light deflection angle of about 106arcsec lie between 107 and 108arcsec.

  • Received 29 January 2005

DOI:https://doi.org/10.1103/PhysRevD.72.024012

©2005 American Physical Society

Authors & Affiliations

Michael H. Brügmann

  • Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany

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Issue

Vol. 72, Iss. 2 — 15 July 2005

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