On the NUT-Born-Infeld-$\Lambda$ spacetime
Nora Bret\'on, C. E. Ram\'irez-Codiz
TL;DR
This paper analyzes the properties of a stationary axisymmetric spacetime with nonlinear Born-Infeld electrodynamics, exploring geodesics, particle trajectories, and black hole conditions in a parameter-rich solution.
Contribution
It provides a detailed study of the NUT-Born-Infeld-$\Lambda$ spacetime, including geodesic integration and conditions for extremal black holes, expanding understanding of nonlinear electrodynamics in curved spacetime.
Findings
Integrated geodesic and Lorentz force equations.
Analyzed light and charged particle trajectories.
Identified conditions for extremal black holes.
Abstract
The stationary axisymmetric spacetime coupled to nonlinear Born-Infeld electrodynamics is studied. The solution was derived by Plebanski et al (1984) and it is characterized by six free parameters: mass, NUT charge, electric and magnetic charge, Born-Infeld parameter and cosmological constant. The geodesic and Lorentz force equations are integrated, and a qualitative analysis of the effect of varying the parameters in the effective potential is provided. Then the light and charged particle trajectories are discussed. The conditions that determine an extreme black hole are presented as well.
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