Reparameterization invariants for anisotropic Bianchi I cosmology with a massless scalar source

Abstract

Intrinsic time-dependent invariants are constructed for classical, flat, homogeneous, anisotropic cosmology with a massless scalar material source. Invariance under the time reparameterization-induced canonical symmetry group is displayed explicitly.

28 pages, to appear in General Relativity and Gravitation. Substantial revisions: added foundational overview section 2, chose new intrinsic time variable, worked with dimensionless variables, added appendix with comparison and criticism of other approaches

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Cited by in corpus (8)

• Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
• Revisiting observables in generally covariant theories in the light of gauge fixing methods
• Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology
• Change in Hamiltonian General Relativity from the Lack of a Time-like Killing Vector Field
• Observables in classical canonical gravity: folklore demystified
• The issue of time in generally covariant theories and the Komar-Bergmann approach to observables in general relativity
• Change in Hamiltonian General Relativity with Spinors
• A Twisted ${\mathcal{C}}^{\star }$-algebra formulation of Quantum Cosmology with application to the Bianchi I model