Light cones of Schwarzschild geometry are studied in connection to the Null
Surface Formulation and gravitational lensing. The paper studies the light cone
cut function's singularity structure, gives exact gravitational lensing
equations, and shows that the "pseudo-Minkowski" coordinates are well defined
within the model considered.Comment: 31 pages, 5 figure

Ezra T. Newman

H. Goldstein

J. Goldburg

P. Schneider

R. Penrose

S. Frittelli

Thomas P. Kling

V.I. Arnol’d

English

arXiv

In this work we investigate aspects of light cones in a Schwarzschild geometry, making connections to gravitational lensing theory and to a new approach to general relativity, the null surface formulation. By integrating the null geodesics of our model, we obtain the light cone from every space-time point. We study three applications of the light cones. First, by taking the intersection of the light cone from each point in the space-time with null infinity, we obtain the light cone cut function, a four parameter family of cuts of null infinity, which is central to the null surface formulation. We examine the singularity structure of the cut function. Second, we give the exact gravitational lens equations, and their specialization to the Einstein ring. Third, as an application of the cut function, we show that the recently introduced coordinate system, the “pseudo Minkowski” coordinates, are a valid coordinate system for the space-time

Kling, T.

Newman, E.

MPG.PuRe

Null cones in Schwarzschild geometry

Crossref

Kling, Thomas P.

Newman, Ezra T.

Max Planck Society eDoc Server

http://hdl.handle.net/11858/00-001M-0000-0013-583E-4

Null Cones in Schwarzschild Geometry

Null Cones in Schwarzschild Geometry

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MPG.PuRe

Crossref

MPG.PuRe

Max Planck Society eDoc Server