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arXiv 1008.0100hep-th
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非线性电磁场支撑的磁性膜

Magnetic Branes Supported by Nonlinear Electromagnetic Field

Seyed Hossein Hendi

摘要:

在考虑宇宙学常数的情况下,考虑与爱因斯坦引力耦合的非线性电磁场,得到了一类新的$d$维磁膜解。这类解产生一个静态源产生的纵向非线性磁场的时空。这些解没有曲率奇异性,也没有视界,但具有带亏损角$δϕ$的圆锥几何。我们研究了非线性对度量函数和亏损角的影响,发现在非线性参数的特定范围内,解不是渐近AdS。我们将这类解推广到自旋磁解的情形,发现当一个或多个旋转参数不为零时,膜具有与旋转参数的大小成正比的净电荷。然后,我们利用反项方法计算了这些时空的守恒量。最后,我们得到了一个约束的非线性参数,使非线性电磁场是共形不变的。

英文摘要:

Considering the nonlinear electromagnetic field coupled to Einstein gravity in the presence of cosmological constant, we obtain a new class of $d$-dimensional magnetic brane solutions. This class of solutions yields a spacetime with a longitudinal nonlinear magnetic field generated by a static source. These solutions have no curvature singularity and no horizons but have a conic geometry with a deficit angle $δϕ$. We investigate the effects of nonlinearity on the metric function and deficit angle and also find that for the special range of the nonlinear parameter, the solutions are not asymptotic AdS. We generalize this class of solutions to the case of spinning magnetic solutions, and find that when one or more rotation parameters are nonzero, the brane has a net electric charge which is proportional to the magnitude of the rotation parameters. Then, we use the counterterm method and compute the conserved quantities of these spacetimes. Finally, we obtain a constrain on the nonlinear parameter, such that the nonlinear electromagnetic field is conformally invariant.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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