TY - JOUR

T1 - Quantum cosmology of classically constrained gravity

AU - Gabadadze, Gregory

AU - Shang, Yanwen

N1 - Funding Information:
We would like to thank Andrei Linde and Alexander Vilenkin for valuable communications. The work was supported in part by NASA grant NNG05GH34G, and in part by NSF grant PHY-0403005. Y.S. is also supported by graduate student funds provided by New York University. Y.S. would like to thank Andrei Gruzinov for his support through David and Lucile Packard Foundation Fellowship.

PY - 2006/4/20

Y1 - 2006/4/20

N2 - In [G. Gabadadze, Y. Shang, 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.

AB - In [G. Gabadadze, Y. Shang, 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.

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U2 - 10.1016/j.physletb.2006.03.002

DO - 10.1016/j.physletb.2006.03.002

M3 - Article

AN - SCOPUS:33645875600

SN - 0370-2693

VL - 635

SP - 235

EP - 242

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 5-6

ER -