Noether symmetries and quantum cosmology in extended teleparallel gravity
Francesco Bajardi, Salvatore Capozziello
Abstract
We apply the Noether Symmetry Approach to point-like teleparallel Lagrangians in view to derive minisuperspaces suitable for Quantum Cosmology. Adopting the Arnowitt–Deser–Misner formalism, we find out related Wave Functions of the Universe. Specifically, by means of appropriate changes of variables suggested by the existence of Noether symmetries, it is possible to obtain the cosmological Hamiltonians whose solutions are classical trajectories interpretable as observable universes.
Topics & Concepts
Noether's theoremHomogeneous spaceObservablePhysicsSymmetry (geometry)QuantumMathematical physicsTheoretical physicsCosmologyClassical mechanicsQuantum cosmologyLoop quantum cosmologyLagrangianQuantum gravityQuantization (signal processing)Wave functionType (biology)GravitationSeries (stratigraphy)Noncommutative and Quantum Gravity TheoriesCosmology and Gravitation TheoriesBlack Holes and Theoretical Physics