2+ 1维Einstein Maxwell Chern-Simons的旋转磁场解
Rotating Magnetic Solutions for 2+1D Einstein Maxwell Chern-Simons
摘要：
本文计算了Einstein Maxwell Chern-Simons理论与类介子标量场耦合的磁解。这些解决方案是通过应用作者提出的时空对偶性来计算相同理论的已知电解。作为一个冗余检查的时空对偶性，它明确表明，所获得的磁配置，如预期的那样，运动方程的解决方案。磁配置有度量行列式$\sqrt{-g}\sim r^p$的参数$p\in]-\infty,+\infty[/\{-1\}$的范围内，并解释为磁弦状配置，配置驱动的外部施加的磁场或宇宙般的解决方案与背景磁场。
英文摘要：
In this article are computed magnetic solutions of Einstein Maxwell Chern-Simons theory coupled to a dilaton-like scalar field. These solutions are computed by applying a space-time duality suggested by the author to known electric solutions of the same theory. As a redundancy check for the space-time duality it is explicitly shown that the magnetic configurations obtained are, as expected, solutions of the equations of motion. The magnetic configurations have metric determinant $\sqrt{-g}\sim r^p$ for the range of the parameter $p\in]-\infty,+\infty[/\{-1\}$ and are interpreted either as magnetic string-like configurations, configurations driven by an externally applied magnetic field or cosmological-like solutions with background magnetic fields.
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