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arXiv 0707.4537gr-qcastro-phhep-thphysics.flu-dynphysics.plasm-ph
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Kaluza-Klein理论中的态相关Maxwell方程

State-Relevant Maxwell's Equation from Kaluza-Klein Theory

Jing Luan, Yongge Ma, Bo-Qiang Ma

摘要:

本文研究了一个五维理想流体与Kaluza-Klein(KK)引力耦合的问题。通过降维处理,得到了与源的状态方程相关的麦克斯韦方程的修正形式。由于相对论磁流体力学(MHD)和三维模型被广泛应用于空间物质的研究,我们推导了3+1形式的修正麦克斯韦方程组和相对论磁流体力学。然后以理想费米气体为例,研究了在高密度或高能量条件下,传统的麦克斯韦方程在低密度和低温极限下可以看作是修正效应的结果。我们还指出了在大地实验室中测试KK理论的状态相关效应的可能性。

英文摘要:

We study a five-dimensional perfect fluid coupled with Kaluza-Klein (KK) gravity. By dimensional reduction, a modified form of Maxwell's equation is obtained, which is relevant to the equation of state of the source. Since the relativistic magnetohydrodynamics (MHD) and the 3-dimensional formulation are widely used to study space matter, we derive the modified Maxwell's equations and relativistic MHD in 3+1 form. We then take an ideal Fermi gas as an example to study the modified effect, which can be visible under high density or high energy condition, while the traditional Maxwell's equation can be regarded as a result in the low density and low temperature limit. We also indicate the possibility to test the state-relevant effect of KK theory in a telluric laboratory.

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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