Quantum string cosmology

Abstract

We present a short review of possible applications of the Wheeler-De Witt equation to cosmological models based on the low-energy string effective action, and characterised by an initial regime of asymptotically flat, low energy, weak coupling evolution. Considering in particular a class of duality-related (but classically disconnected) background solutions, we shall discuss the possibility of quantum transitions between the phases of pre-big bang and post-big bang evolution. We will show that it is possible, in such a context, to represent the birth of our Universe as a quantum process of tunneling or "anti-tunneling" from an initial state asymptotically approaching the string perturbative vacuum.

16 pages, 3 figures. Final version published in Universe 7, 14 (2021) for the Special Issue on "Quantum Cosmology", ed. by Paulo Vargas Moniz. See also https://www.mdpi.com/2218-1997/7/1/14

References in corpus (18)

• Pre-Big-Bang in String Cosmology
• The Pre-Big Bang Scenario in String Cosmology
• Duality and Dilaton
• Manifestly $O(d,d)$ Invariant Approach to Space-Time Dependent String Vacua
• Graceful exit in quantum string cosmology
• Pre-big bang bubbles from the gravitational instability of generic string vacua
• Birth of the Universe as quantum scattering in string cosmology
• Scale Factor Duality: A Quantum Cosmological Approach
• Observable gravitational waves in pre-big bang cosmology: an update
• The Born-Oppenheimer approach to Quantum Cosmology
• Expanding and contracting universes in third quantized string cosmology
• Quantum Cosmology and Higher-Order Lagrangian Theories
• New Ekpyrotic Quantum Cosmology
• Time Gauge Fixing and Hilbert Space in Quantum String Cosmology
• Canonical and path integral quantisation of string cosmology models
• Low-energy quantum string cosmology
• Birth of the Universe as anti-tunnelling from the string perturbative vacuum
• On the initial regime of pre-big bang cosmology

Cited by in corpus (6)

• Third quantization for scalar and spinor wave functions of the Universe in an extended minisuperspace
• From pre- to post-big bang: an (almost) self-dual cosmological history
• On the appearance of time in the classical limit of quantum gravity
• Weyl Curvature Hypothesis in light of Quantum Backreaction at Cosmological Singularities or Bounces
• Quantum Cosmology in $f(Q)$ theory
• Transition between Schwarzschild black hole and string black hole