Theory of light cone cuts of null infinity
- 1 October 1983
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (10) , 2481-2489
- https://doi.org/10.1063/1.525613
Abstract
Light‐cone cuts of null infinity are defined to be the intersection of the light cone of an interior point xa with the future null boundary of the space‐time, i.e., I+. It is shown how from the knowledge of the set of light‐cone cuts of I+, the interior (conformal) metric can be reconstructed. Furthermore, a differential equation defined only on I+ is proposed so that (1) the solution space (the parameters defining the set of solutions) is identified with or defines the space‐time itself and (2) the solutions themselves yield the light‐cone cuts which in turn give metrics conformally equivalent to vacuum solutions of the Einstein equations.Keywords
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