Symmetries in Classical and Quantum Treatment of Einstein’s Cosmological Equations and Mini-Superspace Actions

Article

Symmetries in Classical and Quantum Treatment of Einstein’s Cosmological Equations and Mini-Superspace Actions

Christodoulakis, T.; Karagiorgos, A.; Zampeli, A.

Symmetry 10, 70 (2018)

Abstract

The use of automorphisms of the various Bianchi-type Lie algebras as Lie-point symmetries
of the corresponding Einstein field equations entails a reduction of their order and ultimately
leads to the entire solution space. When a valid reduced action principle exists, the symmetries
of the configuration mini-supermetric space can also be used, in conjunction with the constraints,
to provide local or non-local constants of motion. At the classical level, depending on their number,
these integrals can even secure the acquisition of the entire solution space without any further solving
of the dynamical equations. At the quantum level, their operator analogues can be used, along with
the Wheeler–DeWitt equation, to define unique wave functions that exhibit singularity-free behavior
at a semi-classical level.

Institute authors

Zampeli, Adamantia

BibTeX

@article{UTF698,
  author        = {Christodoulakis, T. and Karagiorgos, A. and Zampeli, A.},
  title         = {{Symmetries in Classical and Quantum Treatment of Einstein’s Cosmological Equations and Mini-Superspace Actions}},
  journal       = {Symmetry},
  volume        = {10},
  pages         = {70},
  year          = {2018},
  doi           = {10.3390/sym10030070},
}