Noether symmetries and duality transformations in cosmology

@article{Paliathanasis2016NoetherSA,
  title={Noether symmetries and duality transformations in cosmology},
  author={Andronikos Paliathanasis and Salvatore Capozziello},
  journal={Modern Physics Letters A},
  year={2016},
  volume={31},
  pages={1650183}
}
  • Andronikos Paliathanasis, Salvatore Capozziello
  • Published 2016
  • Physics, Mathematics
  • Modern Physics Letters A
  • We discuss the relation between Noether (point) symmetries and discrete symmetries for a class of minisuperspace cosmological models. We show that when a Noether symmetry exists for the gravitational Lagrangian, then there exists a coordinate system in which a reversal symmetry exists. Moreover, as far as concerns, the scale-factor duality symmetry of the dilaton field, we show that it is related to the existence of a Noether symmetry for the field equations, and the reversal symmetry in the… CONTINUE READING
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