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Duality transformation and conformal equivalent scalar-tensor theories. (arXiv:1711.11106v1 [gr-qc])
来源于:arXiv
We deal with the duality symmetry of the Dilaton field in cosmology and
specifically with the so-called Gasperini-Veneziano duality transformation. In
particular, we determine two conformal equivalent theories to the Dilaton
field, and we show that under conformal transformations Gasperini-Veneziano
duality symmetry does not survive. Moreover, we show that those theories share
a common conservation law, of Noetherian kind, while the symmetry vector which
generates the conservation law is an isometry only for the Dilaton field.
Finally, we show that the Lagrangian of the Dilaton field is equivalent with
that of the two-dimensional \textquotedblright hyperbolic
oscillator\textquotedblright\ in a Lorentzian space whose $O(d,d)$ invariance
is transformed to the Gasperini-Veneziano duality invariance in the original
coordinates. 查看全文>>