Reissner–Nordström solution from Weyl transverse gravity

  • Ichiro Oda
    Department of Physics, Faculty of Science, University of the Ryukyus, Nishihara, Okinawa 903-0213, Japan

書誌事項

公開日
2016-11-10
資源種別
journal article
DOI
  • 10.1142/s0217732316502060
  • 10.48550/arxiv.1608.00285
公開者
World Scientific Pub Co Pte Lt

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説明

<jats:p> We study classical solutions in the Weyl-transverse (WTDiff) gravity coupled to an electromagnetic field in four spacetime dimensions. The WTDiff gravity is invariant under both the local Weyl (conformal) transformation and the volume preserving diffeomorphisms (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 spacetime dimensions, the charged Reissner–Nordström black hole metric is a classical solution when it is expressed in the Cartesian coordinate system. </jats:p>

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