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The general relativistic infinite plane

机译:广义相对论无限平面

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Uniform fields are one of the simplest and most pedagogically useful examples in introductory courses on electrostatics and Newtonian gravity. In general relativity there have been several proposals as to what constitutes a uniform field. We examine two metrics that can be considered the general relativistic version of the infinite plane with finite mass per unit area. One metric is the four-dimensional version of the five-dimensional "brane" world models of current interest. Another metric is the cosmological domain wall metric. We examine to what extent these metrics match or deviate from our Newtonian intuition about the gravitational field of an infinite plane. These solutions provide beginning students in general relativity both computational experience and conceptual insight into Einstein's field equations and introduce them to material that is at the forefront of current research. (C) 2008 American Association of Physics Teachers.
机译:在静电学和牛顿重力入门课程中,均匀场是最简单且在教学上最有用的示例之一。广义相对论提出了关于统一领域的一些建议。我们研究了两个可以视为单位面积质量有限的无限平面的相对论形式的度量。一种度量是当前关注的五维“布雷恩”世界模型的四维版本。另一个度量是宇宙域壁度量。我们检查这些度量在多大程度上与我们关于无限平面的引力场的牛顿直觉相匹配或相偏离。这些解决方案为广义相对论的初学者提供了对爱因斯坦场方程的计算经验和概念性见解,并将他们介绍给了当前研究最前沿的材料。 (C)2008年美国物理教师协会。

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