pith. sign in

arxiv: 1601.06528 · v1 · pith:RTZBS5SJnew · submitted 2016-01-25 · 🌀 gr-qc · hep-th

Wheeler-DeWitt equation and Lie symmetries in Bianchi scalar-field cosmology

A. Paliathanasis , L. Karpathopoulos , A. Wojnar , S. Capozziello This is my paper
classification 🌀 gr-qc hep-th
keywords symmetriesapproachbianchiequationfieldgravityscalarsolutions
0
0 comments X
read the original abstract

Lie symmetries are discussed for the Wheeler-De Witt equation in Bianchi Class A cosmologies. In particular, we consider General Relativity, minimally coupled scalar field gravity and Hybrid Gravity as paradigmatic examples of the approach. Several invariant solutions are determined and classified according to the form of the scalar field potential. The approach gives rise to a suitable method to select classical solutions and it is based on the first principle of the existence of symmetries.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Canonical quantization of all minisuperspaces with consistent symmetry reductions

    gr-qc 2026-05 unverdicted novelty 5.0

    Canonical quantization of all consistent symmetry reductions of the Einstein-Hilbert Lagrangian, with solutions to the Wheeler-DeWitt equation both with and without imposed conformal symmetries.

  2. Canonical quantization of all minisuperspaces with consistent symmetry reductions

    gr-qc 2026-05 unverdicted novelty 5.0

    All minisuperspaces from symmetry reductions of the Einstein-Hilbert Lagrangian that obey the principle of symmetric criticality are canonically quantized and their Wheeler-DeWitt equations are solved.