摘要
In this paper,we are concerned with light-like extremal surfaces in curved spacetimes.It is interesting to find that under a difeomorphic 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 compare with the known results and to illustrate the method.
In this paper, we find that under a diffeomorphic of nonlinear geodesic equations are concerned with light-like extremal surfaces in curved spaeetimes. It is interesting to transformation of variables, the light-like extremal surfaces can be described by a system Particularly, we investigate the light-like extremal surfaces in Schwarzschild spacetime in detail and some new special solutions are derived systematically with aim to compare with the known results and to illustrate the method.
基金
Supported by National Natural Science Foundation of China under Grant Nos.11026151,11101001
the Anhui Provincial University’s Natural Science Foundation under Grant No.KJ2010A130
