中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20402-020402.doi: 10.1088/1674-1056/20/2/020402

• GENERAL • 上一篇    下一篇

Nonlinear electrodynamics coupled to teleparallel theory of gravity

Gamal G. L. Nashed   

  1. Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
  • 收稿日期:2010-04-08 修回日期:2010-09-02 出版日期:2011-02-15 发布日期:2011-02-15

Nonlinear electrodynamics coupled to teleparallel theory of gravity

Gamal G. L. Nashed   

  1. Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
  • Received:2010-04-08 Revised:2010-09-02 Online:2011-02-15 Published:2011-02-15

摘要: Using nonlinear electrodynamics coupled to teleparallel theory of gravity, regular charged spherically symmetric solutions are obtained. The nonlinear theory is reduced to the Maxwell one in the weak limit and the solutions correspond to charged spacetimes. One of the obtained solutions contains an arbitrary function which we call general solution since we can generate from it the other solutions. The metric associated with these spacetimes is the same, i.e., regular charged static spherically symmetric black hole. In calculating the energy content of the general solution using the gravitational energy--momentum within the framework of the teleparallel geometry, we find that the resulting form depends on the arbitrary function. Using the regularized expression of the gravitational energy--momentum we obtain the value of energy.

Abstract: Using nonlinear electrodynamics coupled to teleparallel theory of gravity, regular charged spherically symmetric solutions are obtained. The nonlinear theory is reduced to the Maxwell one in the weak limit and the solutions correspond to charged spacetimes. One of the obtained solutions contains an arbitrary function which we call general solution since we can generate from it the other solutions. The metric associated with these spacetimes is the same, i.e., regular charged static spherically symmetric black hole. In calculating the energy content of the general solution using the gravitational energy–momentum within the framework of the teleparallel geometry, we find that the resulting form depends on the arbitrary function. Using the regularized expression of the gravitational energy–momentum we obtain the value of energy.

Key words: tetrad theory of gravitation, nonlinear electrodynamics, spherically symmetric black holes, gravitational energy–momentum

中图分类号:  (Classical general relativity)

  • 04.20.-q
04.20.Cv (Fundamental problems and general formalism) 04.20.Jb (Exact solutions) 04.40.Nr (Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)