Einstein-Born-Infeld on Taub-NUT Spacetime in 2k 2 Dimensions - High Energy Physics - TheoryReport as inadecuate




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



Author: A. Khodam-Mohammadi

Source: https://arxiv.org/



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