Properties of Bel currents

R. Lazkoz ^[1] ; J. M. M. Senovilla ^[3] ; R. Vera ^[2]
1. [1] Universidad de Deusto
  
  Universidad de Deusto
  
  Bilbao, España
2. [2] Queen Mary University of London
  
  Queen Mary University of London
  
  Reino Unido
3. [3] Universidad de Bilbao
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Localización: Proceedings of the XXIII Spanish Relativity Meeting on Reference Frames and Gravitomagnetism: Valladolid, Spain, 6-9 September 2000 / coord. por Angel San Miguel Blanco, F. Vicente; José Fernando Pascual Sánchez (ed. lit.), Luis Floría (ed. lit.), 2001, ISBN 9810246315, págs. 185-190
Idioma: inglés
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Resumen
- The Bel tensor is divergence-free in some important cases leading to the existence of conserved currents associated to Killing vectors analogously to those of the energymomentum tensor. When the divergence of the Bel tensor does not vanish one can study the interchange of some quantities between the gravitational and other fields obtaining mixed total conserved currents. Nevertheless, the Bel currents are shown to be conserved (independently of the matter content) if the Killing vectors satisfy some very general conditions. These properties are similar to some very well known statements for the energy-momentum tensor.