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arXiv · 1305.0901

On light-like extremal surfaces in curved spacetimes

Shou-Jun Huang·Chun-Lei He
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Abstract

In this paper, we are concerned with light-like extremal surfaces in curved spacetimes. It is interesting to find that under a diffeomorphic transformation of variables, the light-like extremal surfaces can be described by a system of nonlinear geodesic equations. Particularly, we investigate the light-like extremal surfaces in Schwarzschild spacetime in detail and some new special solutions are derived systematically with aim to comparing with the known results and illustrating the method.

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Shou-Jun Huang, Chun-Lei He. 2013-05-04. On light-like extremal surfaces in curved spacetimes. https://doi.org/10.1088/0253-6102%2F61%2F1%2F03

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