Cosmology and Gravitation pp 105-116 | Cite as
Contracted Bianchi Identities and Conservation Laws in Poincaré Gauge Theories of Gravity
Chapter
Abstract
For Poincaré gauge theories of gravity we derive differential identities of the Belinfante-Rosenfeld and of the Bianchi type. We construct two conserved Noether 3-forms which are related to energy -momentum and angular momentum, respectively.
Keywords
Gauge Theory Field Equation BIANCHI Identity Tensor Field Matter Field
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References
- 1.R.Adler, M.Bazin and M.Schiffer, Introduction to general relativity, McGraw Hill, New York (1965).MATHGoogle Scholar
- 2.R.Arnowitt, S.Deser and C.W.Misner, The dynamics of general relativity, in: Gravitation-an introduction to current research, L.Witten, ed., John Wiley, New York (1962).Google Scholar
- 3.E.Fairchild,Jr., Phys.Rev 14D:384 (1976) and Phys.Rev. 16D: 2438 (1977).MathSciNetADSGoogle Scholar
- 4.A.Fischer and J.Marsden, GRG 7: 915 (1976).MathSciNetMATHGoogle Scholar
- 5.A.Fischer and J.Marsden, The initial value problem and the dynamical formulation of general relativity, in: General relativity. An Einstein centenary survey, S.Hawking and W.Israel eds. Cambridge University Press (1979).Google Scholar
- 6.H.Goldschmidt and S.Sternberg, Ann.Inst.Fourier (Grenoble) 23: 203 (1973).MathSciNetMATHCrossRefGoogle Scholar
- 7.F.Hehl, P. von der Heyde, G.Kerlick and J.Nester, Rev.Mod.Phys. 48:: 393 (1976).ADSCrossRefGoogle Scholar
- 8.F.Hehl, Y.Ne’eman, J.Nitsch and P. von der Heyde, Phys.Lett. 78B:: 102 (1978).ADSGoogle Scholar
- 9.F.Hehl, J.Nitsch and P.von der Heyde, Gravitation and Poincare gauge field theory with quadratic lagrangian, in: Einstein Volume, Plenum Press (to appear 1979 ).Google Scholar
- 10.P. von der Heyde, Phys.Lett. 58A: 141 (1976).MathSciNetCrossRefGoogle Scholar
- 11.J.Kijowski, Comm.Math.Phys. 30: 99 (1973).MathSciNetADSCrossRefGoogle Scholar
- 12.J.Kijowski, GRG 9: 857 (1978).MathSciNetMATHGoogle Scholar
- 13.A.Komar, Phys. Rev. 113: 934 (1959).MathSciNetADSMATHCrossRefGoogle Scholar
- 14.F.Mansouri and L.N.Chang, Phys.Rev. 13D: 3192 (1976).MathSciNetADSCrossRefGoogle Scholar
- 15.C.Misner, K.Thorne and J.Wheeler, Gravitation, W.H.Freeman, San Francisco (1973).Google Scholar
- 16.Y.Ne’eman and T.Regge, Rivista del Nuovo Cimento l,n5 (1978).Google Scholar
- 17.J.A.Schouten, Ricci Calculus, Springer, Berlin-Heidelberg-N.Y (1954)MATHGoogle Scholar
- 18.W.Szczyrba, Comm.Math.Phys. 51: 163 (1976).MathSciNetADSMATHCrossRefGoogle Scholar
- 19.W.Szczyrba, Lett.Math.Phys. 2: 265 (1978).MathSciNetADSMATHCrossRefGoogle Scholar
- 20.W.Szczyrba, Comm.Math.Phys. 60: 215 (1978).MathSciNetADSMATHCrossRefGoogle Scholar
- 21.W.Szczyrba, A hamiltonian structure of the interacting gravitational and matter fields (preprint 1978).Google Scholar
- 22.A.Trautman, Symposia Math. 12: 139 (1973).MathSciNetGoogle Scholar
- 23.A.Trautman, Elementary introduction to fibre bundles and gauge fields, Warsaw University - preprint (1978).Google Scholar
- 24.C.N.Yang, Phys.Rev.Lett. 33: 445 (1974).MathSciNetADSCrossRefGoogle Scholar
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© Plenum Press, New York 1980