Abstract:
It will be proven that if a gauge-invariant Lagrangian density having the local form L = L(gij;Ai;Aij) is such that its Euler-Lagrange equations Ei(L) = 0 have the same set of solutions as Ei(L0) = 0, where L0 = g1/2F ijFij, then L and cL0 are equivalent for same constant c, i.e., Ei(L) = Ei(cL0). From a previous result it follows that L = cL0 + D + eg1/2, where D is a divergence and e is a constant. © 1991 American Institute of Physics.
Referencias:
- Crampin, M., Prince, G.E., (1988) J. Math. Phys., 29, p. 1551
- Henneaux, M., (1984) J. Phys. A: Math. Gen, 1, p. 75
- Henneaux, M., Shepley, L.C., (1982) J. Math. Phys., 23, p. 2101
- Hojman, S., (1983) Phys. Rev. D, 27 (2), p. 451
- Hojman, S., Harleston, H., (1980) Bol. Soc. Mex. Fis., 6, p. 202
- Hojman, S., Harleston, H., (1981) J. Math. Phys., 22, p. 1414
- Marmo, G., Saletan, E.J., Simoni, A., (1986) II Nuovo Cimento B, 96 (2), p. 159
- Lovelock, D., (1974) Gen. Relat. Gravit., 5, p. 399
- Noriega, R.J., Schifini, C.G., (1986) Gen. Relat. Gravit., 18 (7), p. 685
- Noriega, R.J., Schifini, C.G., (1987) J. Math. Phys., 28, p. 815
- Horndeski, G.W., (1978) Tensor (N.S.), 32 (2), p. 131
- Rund, H., (1966) Abh. Math. Sem. Univ. Hamburg, 29, p. 243
- Kerrighan, B., (1981) Gen. Relat. Gravit., 13 (1), p. 19
- Anderson, I.M., Duchamp, T., (1980) Am. J. Math., 102 (5), p. 781
- Lovelock, D., (1969) Arch. Rat. Mech. Anal., 33, p. 45
Citas:
---------- APA ----------
López, M.C., Noriega, R.J. & Schifini, C.G.
(1991)
. Equivalence and s-equivalence of vector-tensor Lagrangians. Journal of Mathematical Physics, 32(8), 2063-2064.
http://dx.doi.org/10.1063/1.529227---------- CHICAGO ----------
López, M.C., Noriega, R.J., Schifini, C.G.
"Equivalence and s-equivalence of vector-tensor Lagrangians"
. Journal of Mathematical Physics 32, no. 8
(1991) : 2063-2064.
http://dx.doi.org/10.1063/1.529227---------- MLA ----------
López, M.C., Noriega, R.J., Schifini, C.G.
"Equivalence and s-equivalence of vector-tensor Lagrangians"
. Journal of Mathematical Physics, vol. 32, no. 8, 1991, pp. 2063-2064.
http://dx.doi.org/10.1063/1.529227---------- VANCOUVER ----------
López, M.C., Noriega, R.J., Schifini, C.G. Equivalence and s-equivalence of vector-tensor Lagrangians. 1991;32(8):2063-2064.
http://dx.doi.org/10.1063/1.529227