On light-like extremal surfaces in curved spacetimes
Differential Geometry
2015-06-15 v1 General Relativity and Quantum Cosmology
Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1305.0901,
title = {On light-like extremal surfaces in curved spacetimes},
author = {Shou-Jun Huang and Chun-Lei He},
journal= {arXiv preprint arXiv:1305.0901},
year = {2015}
}
Comments
17 pages