论文标题
电磁和一般相对论中的Poynting载体，超弹载体和主要观察者
Poynting vector, super-Poynting vector, and principal observers in electromagnetism and general relativity
论文作者
论文摘要
在电磁学中，观察者衡量的po载载体的概念是众所周知的。一般相对论中的数学类似物是Weyl张量的超弹载体。 （超级）po矢量消失的观察者称为校长。当在给定点，电磁场是非空的，或者重力场是I型或D型Weyl-Petrov场时，主要观察者立即通过该点。我们调查了此类观察者的表征，并研究了他们与任意观察者的关系。在非肺电磁剂的情况下，众所周知，鉴于任何观察者，都有一个主要观察者，该观察者相对于他的poynting载体方向而移动。用超级努力取代po偶联会产生可能的引力类似物。 we show that this analogy indeed holds for any observer when the Petrov type is D, but only for a one-dimensional variety of observers when the Petrov type is I. We provide algorithms to obtain the principal observers directly from the electric and magnetic fields (in the electromagnetic case) or electric and magnetic parts of the Weyl tensor (in the gravitational case) relative to an arbitrary observer.发现在彼得罗夫型中，在每个观察者和每个观察者，在每个观察者中都对齐和超级观察者，在彼得罗夫型的dy型非对齐的非努尔爱因斯坦 - 麦克斯韦尔（包括所有经典带电的黑洞溶液）中，poynting和超级启动矢量都对齐。我们的结果在简单的示例中进行了说明。
In electromagnetism, the concept of Poynting vector as measured by an observer is well known. A mathematical analogue in general relativity is the super-Poynting vector of the Weyl tensor. Observers for which the (super-)Poynting vector vanishes are called principal. When, at a given point, the electromagnetic field is non-null, or the gravitational field is of Weyl-Petrov type I or D, principal observers instantaneously passing through that point always exist. We survey characterizations of such observers and study their relation to arbitrary observers. In the non-null electromagnetic case it is known that, given any observer, there is a principal observer which moves relative to the first in the direction of his Poynting vector. Replacing Poynting by super-Poynting yields a possible gravitational analogue; we show that this analogy indeed holds for any observer when the Petrov type is D, but only for a one-dimensional variety of observers when the Petrov type is I. We provide algorithms to obtain the principal observers directly from the electric and magnetic fields (in the electromagnetic case) or electric and magnetic parts of the Weyl tensor (in the gravitational case) relative to an arbitrary observer. It is found that in Petrov type D doubly aligned non-null Einstein-Maxwell fields (which include all classical charged black hole solutions) the Poynting and super-Poynting vectors are aligned, at each point and for each observer, and the principal observers coincide. Our results are illustrated in simple examples.
