Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries

Abstract

The probability representation, in which cosmological quantum states are described by a standard positive probability distribution, is constructed for minisuperspace models selected by Noether symmetries. In such a case, the tomographic probability distribution provides the classical evolution for the models and can be considered an approach to select "observable" universes. Some specific examples, derived from Extended Theories of Gravity, are worked out. We discuss also how to connect tomograms, symmetries and cosmological parameters.

15 pages

References in corpus (6)

• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• The cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint
• Dark energy models toward observational tests and data