Symmetries in classical and quantum treatment of Einstein's cosmological equations and mini-superspace actions
DOI10.3390/sym10030070zbMath1392.83004OpenAlexW2792544613WikidataQ130116259 ScholiaQ130116259MaRDI QIDQ1657013
Adamantia Zampeli, Theodosios Christodoulakis, Alexandros Karagiorgos
Publication date: 13 August 2018
Published in: Symmetry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/sym10030070
Symmetries, invariants of ordinary differential equations (34C14) Applications of Lie (super)algebras to physics, etc. (17B81) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Conditional symmetries and the canonical quantization of constrained minisuperspace actions: the Schwarzschild case
- Exact solutions of Bianchi I spacetimes which admit conformal Killing vectors
- The general solution of Bianchi type VII\(_h\) vacuum cosmology
- The dynamical degrees of freedom in spatially homogeneous cosmology
- Automorphism inducing diffeomorphisms, invariant characterization of homogeneous 3-spaces and Hamiltonian dynamics of Bianchi cosmologies
- A class of homogeneous cosmological models
- Time-dependent automorphism inducing diffeomorphisms in vacuum Bianchi cosmologies and the complete closed form solutions for types II and V
- Exact Three-Variable Solutions of the Field Equations of General Relativity
- Bianchi cosmologies: the role of spatial topology
- The general solution of Bianchi type III vacuum cosmology
- On the essential constants in Riemannian geometries
- Automorphisms and a cartography of the solution space for vacuum Bianchi cosmologies: The Type III case
- Spinor sources in cosmology
- Conditional symmetries and the quantization of Bianchi Type I vacuum cosmologies with and without cosmological constant
- Essential constants for spatially homogeneous Ricci-flat manifolds of dimension 4+1
- Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. II. First integrals and symmetry operators
- Lie algebra automorphisms as Lie-point symmetries and the solution space for Bianchi type I, II, IV, V vacuum geometries
- Generalized Hamiltonian Dynamics
- Constraints in Covariant Field Theories
- General Relativity
- Variational contact symmetries of constrained Lagrangians
This page was built for publication: Symmetries in classical and quantum treatment of Einstein's cosmological equations and mini-superspace actions
