Gravitational Entropy and Quantum Cosmology

Abstract

We investigate the evolution of different measures of ``Gravitational Entropy'' in Bianchi type I and Lemaître-Tolman universe models. A new quantity behaving in accordance with the second law of thermodynamics is introduced. We then go on and investigate whether a quantum calculation of initial conditions for the universe based upon the Wheeler-DeWitt equation supports Penrose's Weyl Curvature Conjecture, according to which the Ricci part of the curvature dominates over the Weyl part at the initial singularity of the universe. The theory is applied to the Bianchi type I universe models with dust and a cosmological constant and to the Lemaître-Tolman universe models. We investigate two different versions of the conjecture. First we investigate a local version which fails to support the conjecture. Thereafter we construct a non-local entity which shows more promising behaviour concerning the conjecture.

20 pages, 7 ps figures

References in corpus (3)

• The Bianchi Type I minisuperspace model
• A Phase Space Approach to Gravitational Enropy
• Quantum creation of an Inhomogeneous universe

Cited by in corpus (15)

• The Weyl tensor in Spatially Homogeneous Cosmological Models
• The Weyl curvature conjecture and black hole entropy
• Journeys Through Antigravity?
• Records Theory
• A Gravitational Origin of the Arrows of Time
• Intermediate homogenization of the Universe and the problem of gravitational entropy
• Brane-world Singularities
• Thermodynamics and Lemaitre-Tolman-Bondi void models
• Thermodynamics of Shearing Massless Scalar Field Spacetimes is Inconsistent With the Weyl Curvature Hypothesis
• Chaos and Brane-worlds
• Structure and stability of the Lukash plane-wave spacetime
• An investigation on gravitational entropy of cosmological models
• Quasilocal energy and thermodynamic equilibrium conditions
• A Weyl Entropy of Pure Spacetime Regions
• Weyl Curvature Hypothesis in light of Quantum Backreaction at Cosmological Singularities or Bounces