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Dynamics of neutral and charged objects in gravitational fields coupled to nonlinear electrodynamics

引力场中中性和带电物体的动力学与非线性电动力学耦合

基本信息

批准号：
259042421
负责人：
Professor Dr. Claus Lämmerzahl
金额：
--
依托单位：
Zentrum für angewandte Raumfahrttechnologie und Mikrogravitation (ZARM)
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2014
资助国家：
德国
起止时间：
2013-12-31 至 2017-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/259042421?language=en
关键词：
Dynamics neutral charged objects gravitational

项目摘要

There are several reasons why to consider nonlinear electrodynamics: (i) it follows from quantum gravity scenarios based on string theory, (ii) it follows as effective theory from quantum electrodynamics (Heisenberg-Euler), (iii) it has been proposed in order to get rid of the infinities appearing in standard electrodynamics (Born-Infeld), and (iv) in the context of the Einstein field equations nonlinear electrodynamics models lead to regular black hole solutions. Though all experimental results are in accordance with standard quantum electrodynamics, the results from string theory and the particular features arising in the context of gravity theories make it worth to further investigate this class of theories, also towards new experimental tests in the laboratory (e.g. strong laser pulses) and in astrophysics (e.g. neutron stars, magnetars and gamma ray bursts). In this joint German-Mexican project we would like to investigate in a sytematic manner the propagation of light and of neutral and charged particles in space-times given within the framework of nonlinear electrodynamics. Due to the nonlinearity light does not propagate along null geodesics leading to particular effects for, e.g., shape dynamics, lensing, or the Faraday effect. The nonlinearity in general leads to birefringence and also should lead to effects like frequency doubling. We also want to take into acount the nonlinearity-induced backreaction for charged particles which may play a role in extreme situations. Furthermore, also extended particles with spin, magnetic moments, electric dipoles and higher-order charge multipoles will be considered. These results may be important for understanding the physics in the vicinity of neutron stars, magnetars, accretion discs, gamma ray bursts, etc., and also will be used to analyse or propose new experiments in strong electromagnetic fields like in strong laser pulses. In this context we also would like to find new solutions of the Einstein equations with nonlinear electrodynamics, in particular try to find rotating solutions extending the Kerr-Newman solution in the standard theory.

考虑非线性电动力学有几个原因：（i）它是从基于弦理论的量子引力场景得出的，（ii）它是从量子电动力学得出的有效理论。（海森伯-欧拉），（iii）它已经提出，以摆脱出现在标准电动力学的无穷大（Born-Infeld），（iv）在爱因斯坦场方程的背景下，非线性电动力学模型导致经常黑洞的解决方案。虽然所有的实验结果都符合标准的量子电动力学，但弦理论的结果和引力理论中出现的特殊特征使其值得进一步研究这类理论，也是为了在实验室（例如强激光脉冲）和天体物理学（例如中子星，磁星和伽马射线爆发）中进行新的实验测试。在这个德国和墨西哥的联合项目中，我们希望以系统的方式研究光以及中性和带电粒子在非线性电动力学框架内的时空中的传播。由于非线性，光不沿沿着零测地线传播，从而导致特定的效应，例如，形状动力学、透镜效应或法拉第效应。非线性通常会导致双折射，也会导致倍频等效应。我们还想考虑到非线性引起的带电粒子的反反应，这可能在极端情况下发挥作用。此外，还将考虑具有自旋、磁矩、电偶极子和高阶电荷多极子的扩展粒子。这些结果对于理解中子星、磁星、吸积盘、伽马射线暴等附近的物理学可能是重要的，也将用于分析或提出强电磁场中的新实验，如强激光脉冲。在这种情况下，我们也希望找到新的解决方案的爱因斯坦方程的非线性电动力学，特别是试图找到旋转的解决方案，扩展的Kerr-Newman解决方案的标准理论。