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arXiv 0905.4180hep-th
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2k+2维Taub-NUT时空中的Einstein-Born-Infeld

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

A. Khodam-Mohammadi

摘要:

我们希望在偶数维中构造Einstein-Born-Infeld引力下的Taub-NUT时空解。由于Born-Infeld理论是一个非线性电动力学理论,它导致非线性微分方程。然而,没有得到一个适当的解析解,我们试图解决它的数值(Runge-Kotta方法)与我们以前的工作在Einstein-Maxwell引力一致的初始条件。我们求解4,6和8维方程,并通过最小二乘法进行数据拟合。当N=l=b=1时,度规只在8维中转向NUT解,但在4维和6维中时空没有任何NUT解。

英文摘要:

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.

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