Einstein-Born-Infeld on Taub-NUT Spacetime in 2k+2 Dimensions

Abstract

We wish to construct solutions of Taub-NUT spacetime in Einstein-Born-Infeld gravity in even dimensions. Since Born-Infeld theory is a nonlinear electrodynamics theory, in leads to nonlinear differential equations. However a proper analytical solution was not obtain, we try to solve it numerically (by the Runge-Kotta method) with initial conditions coinciding with those of our previous work in Einstein-Maxwell gravity. We solve equations for 4, 6 and 8 dimensions and do data fitting by the least-squares method. For N=l=b=1, the metric turns to the NUT solution only in 8 dimensions, but in 4 and 6 dimensions the spacetime does not have any Nut solution.

8 pages, 5 figures

References in corpus (5)

• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld-dilaton gravity
• Magnetic Strings in Einstein-Born-Infeld-Dilaton Gravity
• Thermodynamics of Rotating Solutions in Gauss-Bonnet-Maxwell Gravity and the Counterterm Method
• Thermodynamics of Taub-NUT Black Holes in Einstein-Maxwell Gravity
• Thermodynamics of Taub-NUT/Bolt-AdS Black Holes in Einstein-Gauss-Bonnet Gravity

Cited by in corpus (3)

• Rotating Black Branes in the presence of nonlinear electromagnetic field
• Exact black hole solutions with non-linear electrodynamic field
• Black holes of multiple horizons without mass inflation