# Tunneling decay rate in quantum cosmology

@article{Mithani2015TunnelingDR, title={Tunneling decay rate in quantum cosmology}, author={Audrey T. Mithani and Alexander Vilenkin}, journal={Physical Review D}, year={2015}, volume={91}, pages={123511} }

In canonical quantum cosmology, the wave function of the universe lacks explicit time dependence. However, time evolution may be present implicitly through the semiclassical superspace variables, which themselves depend on time in classical dynamics. In this paper, we apply this approach to an oscillating universe model recently introduced by Graham et al. By extending the model to include a massless, minimally coupled scalar field $\phi$ which has little effect on the dynamics but can play the…

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## References

SHOWING 1-10 OF 11 REFERENCES

### Quantum tunneling effect in oscillating Friedmann cosmology.

- PhysicsPhysical review. D, Particles and fields
- 1995

It is shown that the tunneling effect in quantum cosmology is possible not only at the very beginning or the very end of the evolution, but also at the moment of maximum expansion of the universe. A…

### Instability of an emergent universe

- Physics
- 2014

Oscillating solutions to the effective equations of Loop Quantum Cosmology have been suggested for the role of an `eternal seed', providing a possible starting point for the emergent universe…

### Oscillating Friedman Cosmology

- Physics
- 1996

Abstract The non-singular, oscillating Friedman cosmology within the framework of General Relativity is considered. The general oscillatory solution is given and the conditions for its existence are…

### Interpretation of the wave function of the Universe.

- Physics, PhilosophyPhysical review. D, Particles and fields
- 1989

A probabilistic interpretation of the wave function of the Universe is proposed in which a positive-semidefinite probability distribution is defined and satisfies the correspondence principle with classical cosmology and with quantum mechanics.

### A simple harmonic universe

- Physics
- 2011

A bstractWe explore simple but novel bouncing solutions of general relativity that avoid singularities. These solutions require curvature k = +1, and are supported by a negative cosmological term and…

### Exploring eternal stability with the simple harmonic universe

- Physics
- 2014

A bstractWe construct nonsingular cyclic cosmologies that respect the null energy condition, have a large hierarchy between the minimum and maximum size of the universe, and are stable under…

### Quantum Theory of Gravity. I. The Canonical Theory

- Mathematics
- 1967

Following an historical introduction, the conventional canonical formulation of general relativity theory is presented. The canonical Lagrangian is expressed in terms of the extrinsic and intrinsic…

### Collapse of simple harmonic universe

- Physics
- 2011

In a recent paper Graham et al constructed oscillating and static universe models which are stable with respect to all classical perturbations. Here we show that such universes are…

### Minisuperspace ” , in “ Magic Without Magic ”

- 1972

### Minisuperspace”, in “Magic Without Magic”, ed by J.R

- Clauder (Freeman, San Francisco,
- 1972