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- Title
Time-reparametrization invariance and Hamilton-Jacobi approach to the cosmological σ-model.
- Authors
van Holten, J.W.; Kerner, R.
- Abstract
The construction of physical models with local time-reparametrization invariance is reviewed. Negative-energy contributions to the hamiltonian are shown to be crucial for the realization of this reparametrization symmetry. The covariant formulation of the dynamics is used to develop a time and gauge invariant Hamilton-Jacobi theory. This formalism is applied to solve for the cosmology of a homogeneous universe of the Friedmann-Lemaître-Robertson-Walker type. After a discussion of empty universes, the FLRW theory is extended with homogeneous scalar fields generically described by a σ-model on some scalar manifold. An explicit gauge-invariant solution is constructed for the non-linear O(N)-models.
- Subjects
HAMILTON-Jacobi equations; SIGMA particles; METAPHYSICAL cosmology; PRINCIPLE of relativity (Physics); SYMMETRY (Physics); FRIEDMANN equations; MATHEMATICAL models
- Publication
Fortschritte der Physik / Progress of Physics, 2014, Vol 62, Issue 7, p543
- ISSN
0015-8208
- Publication type
Article
- DOI
10.1002/prop.201400008