Axially symmetric stars in Einstein-Maxwell theory

Abstract

In this work we show how to construct general relativistic star models with axial symmetry in the Einstein-Maxwell theory. Starting with a general axially symmetric interior fluid solution we show how to construct the corresponding electrically charged and also the corresponding magnetized solution of the Einstein-Maxwell-fluid equations. As an example, we provide an electrically charged version of the anisotropic Bower and Liang solution.Comment: 9 pages, no figures. v2. corrected an incorrect statement in section 2.1. Updated list of references. arXiv admin note: text overlap with arXiv:1804.0807