Conformastatic disk-haloes in Einstein-Maxwell gravity
Abstract
We present a relativistic model describing a thin disk surrounded by a halo in the presence of an electromagnetic field. The model is obtained by solving the Einstein-Maxwell equations on a particular conformastatic spacetime background and by using the distributional approach for the energy-momentum tensor. A class of solutions is obtained in which the gravitational and electromagnetic potentials are completely determined by a harmonic function only. A particular solution is given that is asymptotically flat and singularity free, and satisfies all the energy conditions.
- Publication:
-
Physical Review D
- Pub Date:
- February 2013
- DOI:
- arXiv:
- arXiv:1211.4941
- Bibcode:
- 2013PhRvD..87d4010G
- Keywords:
-
- 04.20.-q;
- 04.20.Jb;
- 04.40.-b;
- 04.40.Nr;
- Classical general relativity;
- Exact solutions;
- Self-gravitating systems;
- continuous media and classical fields in curved spacetime;
- Einstein-Maxwell spacetimes spacetimes with fluids radiation or classical fields;
- General Relativity and Quantum Cosmology;
- Mathematical Physics
- E-Print:
- To be published in Physical Review D. Replaced with minor changes to match published version