Geodesically Complete Universe

Abstract

This talk is about solving cosmological equations analytically without approximations, and discovering new phenomena that could not be noticed with approximate solutions. We found all the solutions of the Friedmann equations for a specific model, including all the zero-size-bounce solutions that do not violate the null energy condition, as well as all the finite-size-bounce solutions, and then discovered model independent phenomena. Among them is the notion of geodesic completeness for the geometry of the universe. From this we learned a few new general lessons for cosmology. Among them is that anisotropy provides a model independent attractor mechanism to some specific initial values for cosmological fields, and that there is a period of antigravity in the history of the universe. The results are obtained only at the classical gravity level. Effects of quantum gravity or string theory are unknown, they are not even formulated, so there are new theoretical challenges.

11 pages, 9 figures, LaTeX

References in corpus (3)

• Gravity in 2T-Physics
• The Big Bang and Inflation United by an Analytic Solution
• Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory

Cited by in corpus (8)

• Local Conformal Symmetry in Physics and Cosmology
• Sailing through the big crunch-big bang transition
• Complete Set of Homogeneous Isotropic Analytic Solutions in Scalar-Tensor Cosmology with Radiation and Curvature
• Journeys Through Antigravity?
• Dynamical String Tension in String Theory with Spacetime Weyl Invariance
• Generalized Dualities in 1T-Physics as Holographic Predictions from 2T-Physics
• Traversing Cosmological Singularities, Complete Journeys Through Spacetime Including Antigravity
• Wavefunction for the Universe Circa the Beginning with Dynamically Determined Unique Initial Conditions