2003/11/10 by José M. M. Senovilla, Senovilla, José M. M.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum and Classical Electrodynamics #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0311033
12 pages, to be published in the proceedings "Symmetries and gravity in field theory", Workshop in honour of Prof. J. A. de Azcárraga, June 9-11, 2003, Salamanca (Spain), V Aldaya and J M Cerveró eds. (Ediciones Universidad de Salamanca, Salamanca)
arxiv created 2003/11/10 · openalex publication_date 2003/11/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A recently found (gr-qc/0303036) 2-index, symmetric, trace-free, divergence-free tensor is introduced for arbitrary source-free electromagnetic fields. The tensor can be constructed for any test Maxwell field in Einstein spaces (including proper vacuum), and more importantly for any Einstein-Maxwell spacetime. The tensor is explicitly given and analyzed in some special situations, such as general null electromagnetic fields, Reissner-Nordström solution, or classical electrodynamics. We present an explicit example where the conserved currents derived from the energy-momentum tensor using symmetries are trivial, but those derived from the new tensor are not.