中国物理B ›› 2008, Vol. 17 ›› Issue (10): 3574-3579.doi: 10.1088/1674-1056/17/10/008

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Inverse scattering method and soliton solutionfamily for the Einstein--Maxwell theory with multiple Abelian gauge fields

高亚军   

  1. Department of Physics, Bohai University, Jinzhou 121013, China
  • 收稿日期:2008-03-07 修回日期:2008-04-14 出版日期:2008-10-20 发布日期:2008-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10475036).

Inverse scattering method and soliton solutionfamily for the Einstein--Maxwell theory with multiple Abelian gauge fields

Gao Ya-Jun(高亚军)†   

  1. Department of Physics, Bohai University, Jinzhou 121013, China
  • Received:2008-03-07 Revised:2008-04-14 Online:2008-10-20 Published:2008-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10475036).

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摘要： A Hauser--Ernst-type extended hyperbolic complex linear system given in our previous paper [Gao Y J 2004 {\it Chin. Phys.} {\bf 13} 602] is slightly modified and used to develop a new inverse scattering method for the stationary axisymmetric Einstein--Maxwell theory with multiple Abelian gauge fields. The reduction procedures in this inverse scattering method are found to be fairly simple, which makes the inverse scattering method be fine and effective in practical application. As an example, a concrete family of soliton solutions for the considered theory is obtained.

关键词: Einstein--Maxwell theory with multiple Abelian gauge fields, inverse scattering method, soliton solution family

Abstract: A Hauser--Ernst-type extended hyperbolic complex linear system given in our previous paper [Gao Y J 2004 Chin. Phys. 13 602] is slightly modified and used to develop a new inverse scattering method for the stationary axisymmetric Einstein--Maxwell theory with multiple Abelian gauge fields. The reduction procedures in this inverse scattering method are found to be fairly simple, which makes the inverse scattering method be fine and effective in practical application. As an example, a concrete family of soliton solutions for the considered theory is obtained.

Key words: Einstein--Maxwell theory with multiple Abelian gauge fields, inverse scattering method, soliton solution family

中图分类号:  (Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)

  • 04.40.Nr
11.10.Lm (Nonlinear or nonlocal theories and models) 11.15.-q (Gauge field theories)