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arXiv · gr-qc/9908082

Iterative Approach to Gravitational Lensing Theory

Thomas P. Kling·Ezra T. Newman·Alejandro Perez
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Abstract

We develop an iterative approach to gravitational lensing theory based on approximate solutions of the null geodesic equations. The approach can be employed in any space-time which is ``close'' to a space-time in which the null geodesic equations can be completely integrated, such as Minkowski space-time, Robertson-Walker cosmologies, or Schwarzschild-Kerr geometries. To illustrate the method, we construct the iterative gravitational lens equations and time of arrival equation for a single Schwarzschild lens. This example motivates a discussion of the relationship between the iterative approach, the standard thin lens formulation, and an exact formulation of gravitational lensing.

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BibTeXRIS

Thomas P. Kling, Ezra T. Newman, Alejandro Perez. 2000-01-13. Iterative Approach to Gravitational Lensing Theory. https://doi.org/10.1103/physrevd.61.104007

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