标题： 从Weyl横截引力得到的Reissner-Nordstrom解 显示英文标题

标题： Reissner-Nordstrom Solution from Weyl Transverse Gravity

摘要： 我们研究在四维时空中与电磁场耦合的Weyl-横截（WTDiff）引力中的经典解。 WTDiff引力在局部Weyl（共形）变换和体积保持微分同胚（横截微分同胚）下是不变的，并且已知至少在经典层面上等价于广义相对论（可能在量子领域也是如此）。 特别是，我们发现只有在四维时空情况下，当以笛卡尔坐标系表示时，带电的Reissner-Nordstrom黑洞度规才是一个经典解。 显示英文摘要

摘要： We study classical solutions in the Weyl-transverse (WTDiff) gravity coupled to an electro-magnetic field in four space-time dimensions. The WTDiff gravity is invariant under both the local Weyl (conformal) transformation and the volume preserving diffeormorphisms (transverse diffeomorphisms) and is known to be equivalent to general relativity at least at the classical level (perhaps even in the quantum regime). In particular, we find that only in four space-time dimensions, the charged Reissner-Nordstrom black hole metric is a classical solution when it is expressed in the Cartesian coordinate system.