2013/01/31 by D. Pugliese, Daniela Pugliese, Juan A. Valiente Kroon
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical field theory #Classical mechanics #Cosmology and Gravitation Theories #Covariant derivative #Covariant transformation #Curvature #Einstein tensor #Exact solutions in general relativity #Gauge anomaly #Gauge theory #General relativity #Geometry #Introduction to gauge theory #Lanczos tensor #Mathematical descriptions of the electromagnetic field #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Riemann curvature tensor #Scalar (mathematics) #Scalar field #Symmetric tensor #Tensor (intrinsic definition) #Tensor density #Tensor field #Tetrad #Vector field #astro-ph.HE #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1007/s10714-013-1524-y
22 pages, no figures. This is a revised version to meet the published article. Discussion and minor correction added. To appear in General Relativity And Gravitation. arXiv admin note: text overlap with arXiv:1112.1525
arxiv created 2013/03/27 · openalex publication_date 2013/03/30 · arxiv updated 2013/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a complex scalar field minimally coupled to gravity and to a U(1) gauge symmetry and we construct of a first order symmetric hyperbolic evolution system for the Einstein-Maxwell-Klein-Gordon system. Our analysis is based on a 1+3 tetrad formalism which makes use of the components of the Weyl tensor as one of the unknowns. In order to ensure the symmetric hyperbolicity of the evolution equations, implied by the Bianchi identity, we introduce a tensor of rank 3 corresponding to the covariant derivative of the Faraday tensor, and two tensors of rank 2 for the covariant derivative of the vector potential and the scalar field.