Work

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

Year: 2014
Type: article
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.
Language: English
Open Access status: green
OpenAlex ID: W2041151533
FWCI: 0.179
Cites: 21
Cited by: 2
Related to: 10