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Einstein-Born-Infeld on Taub-NUT Spacetime in 2k+2 Dimensions by Khodam-Mohammadi, A. is a scholarly article available to read on EtoBox.

What is Einstein-Born-Infeld on Taub-NUT Spacetime in 2k+2 Dimensions about?

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.

Author

Khodam-Mohammadi, A.

Published

2009

Language

EN