Lichnerowicz-type theorems for self-gravitating systems with nonlinear electromagnetic fields

Li-Ming Cao, Yuxuan Peng, and Jianfei Xu
Phys. Rev. D 90, 024046 – Published 18 July 2014

Abstract

We consider a self-gravitating system containing a globally timelike Killing vector and a nonlinear Born-Infeld electromagnetic field and scalar fields. We prove that under certain boundary conditions (asymptotically flat/anti–de Sitter) there cannot be any nontrivial field configurations in the spacetime. To explore nontrivial solutions, one should break any of the conditions we imposed. The case with another type of nonlinear electromagnetic field is also analyzed, and similar conclusions have been obtained under certain conditions.

  • Received 2 May 2014

DOI:https://doi.org/10.1103/PhysRevD.90.024046

© 2014 American Physical Society

Authors & Affiliations

Li-Ming Cao1,2,*, Yuxuan Peng1,†, and Jianfei Xu1,‡

  • 1Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 2State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190, China

  • *caolm@ustc.edu.cn
  • yxpeng@mail.ustc.edu.cn
  • jfxu06@mail.ustc.edu.cn

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Issue

Vol. 90, Iss. 2 — 15 July 2014

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