, Volume 5, Issue 1, pp 29–32 | Cite as

On energy-momentum tensors as sourcesof spin-2 fields

  • Eric A Lord
General Relativity


The improvement terms in the generalised energy-momentum tensor of Callan, Coleman and Jackiw can be derived from a variational principle if the Lagrangian is generalised to describe coupling between ‘matter’ fields and a spin-2 boson field. The required Lorentz-invariant theory is a linearised version of Kibble-Sciama theory with an additional (generally-covariant) coupling term in the Lagrangian. The improved energy-momentum tensor appears as the source of the spin-2 field, if terms of second order in the coupling constant are neglected.


Energy-momentum tensor Kibble-Sciama theory matter fields spin-2 fields 


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  1. de Alfaro V, Fubini S, Furlan G and Rosetti C 1973Currents in Hadron Physics (North Holland Publishing Company, Amsterdam)Google Scholar
  2. Bayen F 1970Nuovo Cimento A68 1970Google Scholar
  3. Belinfante F J 1940Physica 7 449MATHCrossRefADSMathSciNetGoogle Scholar
  4. Callan C G, Coleman S and Jackiw R 1970Ann. Phys. N.Y. 59 42MATHCrossRefADSMathSciNetGoogle Scholar
  5. Dirac P A M 1973Proc. Roy. Soc. A333 403ADSMathSciNetGoogle Scholar
  6. Goedecke G H 1974J. Math. Phys. 15 792CrossRefADSMathSciNetGoogle Scholar
  7. Kibble T W B 1960J. Math. Phys. 2 212CrossRefADSMathSciNetGoogle Scholar
  8. Lord E A 1971Proc. Camb. Phil. Soc. 69 423MathSciNetCrossRefGoogle Scholar
  9. Lord E A 1972Nuovo Cimento 11B 185ADSGoogle Scholar
  10. Lord E A, Sinha K P and Sivaram C 1974Progr. Theoret. Phys. 52 161CrossRefADSGoogle Scholar
  11. Lord E A 1975J. Math. Phys. to be publishedGoogle Scholar
  12. Mack G and Todorov I 1968ICPT, Trieste, preprint IC/68/86Google Scholar
  13. Panday R C 1973Bhaotikee report RCP/AU-7305041 (University of Allahabad)Google Scholar
  14. Sciama D W 1963 inRecent Developments in General Relativity (Pergamon) 415Google Scholar
  15. Weyl H 1919Ann. der Physik 59 101CrossRefADSGoogle Scholar

Copyright information

© Indian Academy of Sciences 1975

Authors and Affiliations

  • Eric A Lord
    • 1
  1. 1.Division of Physics and Mathematical SciencesIndian Institute of ScienceBangalore

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