非球面光子和反光子表面
Aspherical Photon and Anti-Photon Surfaces
摘要:
在本文中,我们确定了一些物理上有趣的时空中的光子面和反光子面,它们不是球对称的。我们所有的例子都解决了物理上合理的场方程,包括某些情况下的真空爱因斯坦方程,尽管它们不是渐近平坦的。我们的例子包括真空C-度规,爱因斯坦-麦克斯韦理论的梅尔文解,以及包括量子场在内的推广。(反)光子表面不是圆形的球体,并且经过函数并不总是恒定的。
英文摘要:
In this note we identify photon surfaces and anti-photon surfaces in some physically interesting spacetimes, which are not spherically symmetric. All of our examples solve physically reasonable field equations, including for some cases the vacuum Einstein equations, albeit they are not asymptotically flat. Our examples include the vacuum C-metric, the Melvin solution of Einstein-Maxwell theory and generalisations including dilaton fields. The (anti-)photon surfaces are not round spheres, and the lapse function is not always constant.
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