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arXiv 1404.4492gr-qcastro-ph.COhep-th
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扩展轴子电动力学:引力pp波引起的反常动力光学响应

Extended axion electrodynamics: Anomalous dynamo-optical response induced by gravitational pp-waves

Alexander B. Balakin, Timur Yu. Alpin

摘要:

我们将Einstein-Maxwell-Axion理论推广到动力光学型的Lagrangian交叉项中,这些交叉项在Maxwell张量中是二次的,在宏观速度四矢量的协变导数中是线性的,并且在赝标(Axion)场或其梯度四矢量中是线性的。我们分类的电磁活动介质的宏观速度四矢量的协变导数的不可约元素的新条款:膨胀标量,加速度四矢量,剪切和涡量张量。扩展轴子电动力学的主方程用于描述由pp波引力背景引起的轴子有源电动力学系统的响应。我们表明,这种反应具有关键的性质,即,电动光学耦合到轴子的电场和磁场在外部PP波引力场的影响下不稳定地增长。

英文摘要:

We extend the Einstein-Maxwell-axion theory including into the Lagrangian cross-terms of the dynamo-optical type, which are quadratic in the Maxwell tensor, linear in the covariant derivative of the macroscopic velocity four-vector, and linear in the pseudoscalar (axion) field or its gradient four-vector. We classify the new terms with respect to irreducible elements of the covariant derivative of the macroscopic velocity four-vector of the electromagnetically active medium: the expansion scalar, acceleration four-vector, shear and vorticity tensors. Master equations of the extended axion electrodynamics are used for the description of the response of an axionically active electrodynamic system, induced by a pp-wave gravitational background. We show that this response has a critical character, i.e., the electric and magnetic fields, dynamo-optically coupled to the axions, grow anomalously under the influence of the external pp-wave gravitational field.

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