Quantum Cosmology of Classically Constrained Gravity

Abstract

In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these new solutions. We show that a spatially-flat de Sitter universe can be created from ``nothing''. This universe has boundaries, and its total energy equals to zero. Although the probability to create such a universe is exponentially suppressed, it favors initial conditions suitable for inflation. Then we discuss a finite-energy solution with a nonzero cosmological constant and zero space-time curvature. There is no tunneling suppression to fluctuate into this state. We show that for a positive cosmological constant this state is unstable -- it can rapidly transition to a de Sitter universe providing a new unsuppressed channel for inflation. For a negative cosmological constant the space-time flat solutions is stable.

17 pages; 6 figures

References in corpus (2)

• Creation of a Compact Topologically Nontrivial Inflationary Universe
• Classically Constrained Gauge Fields and Gravity

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• Arrow of Time in String Theory
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• The Geometry of The Entropic Principle and the Shape of the Universe
• Unitarity at Infinity and Topological Holography
• Quantum Cosmology Aspects Of D3 Branes and Tachyon Dynamics
• Quantum cosmology of a classically constrained nonsingular Universe
• Space, Time, and Tachyon Condensation