https://doi.org/10.1140/epjc/s10052-018-5914-x
Regular Article - Theoretical Physics
Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields
1
Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran
2
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, Iran
3
Helmholtz-Institut Jena, Fröbelstieg 3, 07743, Jena, Germany
4
Physics Department, Shahid Beheshti University, Tehran, 19839, Iran
* e-mail: behzad.eslampanah@gmail.com
Received:
11
December
2017
Accepted:
20
May
2018
Published online:
30
May
2018
The solutions of U(1) gauge-gravity coupling is one of the interesting models for analyzing the semi-classical nature of spacetime. In this regard, different well-known singular and nonsingular solutions have been taken into account. The paper at hand investigates the geometrical properties of the magnetic solutions by considering Maxwell and power Maxwell invariant (PMI) nonlinear electromagnetic fields in the context of massive gravity. These solutions are free of curvature singularity, but have a conic one which leads to presence of deficit/surplus angle. The emphasize is on modifications that these generalizations impose on deficit angle which determine the total geometrical structure of the solutions, hence, physical/gravitational properties. It will be shown that depending on the background spacetime [being anti de Sitter (AdS) or de Sitter (dS)], these generalizations present different effects and modify the total structure of the solutions differently.
© The Author(s), 2018
