Classical and quantum Big Brake cosmology for scalar field and tachyonic models

Abstract

We study a relation between the cosmological singularities in classical and quantum theory, comparing the classical and quantum dynamics in some models possessing the Big Brake singularity - the model based on a scalar field and two models based on a tachyon-pseudo-tachyon field . It is shown that the effect of quantum avoidance is absent for the soft singularities of the Big Brake type while it is present for the Big Bang and Big Crunch singularities. Thus, there is some kind of a classical - quantum correspondence, because soft singularities are traversable in classical cosmology, while the strong Big Bang and Big Crunch singularities are not traversable.

final version, to appear in Phys. Rev. D

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• Resolution of type IV singularities in quantum cosmology
• Classical and quantum cosmology of Born-Infeld type models
• Towards the Quantization of Eddington-inspired-Born-Infeld Theory
• Future singularities if the universe underwent Starobinsky inflation in the past
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• $f(R)$ quantum cosmology: avoiding the Big Rip
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• The fate of bound systems through Sudden Future Singularities
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• Again About Singularity Crossing In Gravitation And Cosmology