Lichnerowicz-Type Theorems for Self-gravitating Systems with Nonlinear Electromagnetic Fields
General Relativity and Quantum Cosmology
2014-07-22 v2
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/AdS) there can't 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.
Keywords
Cite
@article{arxiv.1404.6639,
title = {Lichnerowicz-Type Theorems for Self-gravitating Systems with Nonlinear Electromagnetic Fields},
author = {Li-Ming Cao and Yuxuan Peng and Jianfei Xu},
journal= {arXiv preprint arXiv:1404.6639},
year = {2014}
}
Comments
revtex4, 7 pages, no figure, one conclusion and an explanation for the derivation added