Abstract:
We consider vector-tensor minimally coupled Lagrangians, i.e., scalar densities of the form ℒ = g1/2R +L(gij;Ψi;Ψi,j). We prove that the gauge invariance of any of the sets of Euler-Lagrange expressions implies the gauge invariance of the Lagrangian itself for n even, and an "almost" gauge invariance for n odd. We also find those ℒ for which Ei(ℒ) = 0 or Eij(L) = 0, generalizing well-known results by Lovelock and a result by the authors. © 1986 Plenum Publishing Corporation.
Referencias:
- Herman, R., (1969) Differential Geometry and the Calculus of Variations, , Academic Press, New York
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- Lovelock, D., (1969) Arch. Rat. Mech. Anal., 33, pp. 54-70
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Citas:
---------- APA ----------
Noriega, R.J. & Schifini, C.G.
(1986)
. On vector-tensor minimally coupled field theories. General Relativity and Gravitation, 18(7), 685-694.
http://dx.doi.org/10.1007/BF00768632---------- CHICAGO ----------
Noriega, R.J., Schifini, C.G.
"On vector-tensor minimally coupled field theories"
. General Relativity and Gravitation 18, no. 7
(1986) : 685-694.
http://dx.doi.org/10.1007/BF00768632---------- MLA ----------
Noriega, R.J., Schifini, C.G.
"On vector-tensor minimally coupled field theories"
. General Relativity and Gravitation, vol. 18, no. 7, 1986, pp. 685-694.
http://dx.doi.org/10.1007/BF00768632---------- VANCOUVER ----------
Noriega, R.J., Schifini, C.G. On vector-tensor minimally coupled field theories. Gen Relat Gravit. 1986;18(7):685-694.
http://dx.doi.org/10.1007/BF00768632