Crossing the Big Bang singularity
arXiv:2004.04506
Abstract
A simple model for a scalar field and gravity admits homogeneous isotropic cosmological solutions which cross the Big Bang singularity. In the scaling frame with field dependent effective Planck mass these solutions are regular. They become singular in the Einstein frame with fixed Planck mass. This field singularity arises since the field transformation of the metric to the Einstein frame is singular at the crossing point of a vanishing scalar field. No physical singularity is present for these solutions. Within general models with no more than two derivatives we find that the possibility of a crossing of the "Big Bang singularity" is not generic. It needs a tuning of model parameters. The present models are not a realistic description of the Universe since they fail to render acceptable inhomogeneities.
arXiv commentfurther precisions on inhomogeneous cosmologies, 11 pages
References in corpus (44)
- Cosmology and the Fate of Dilatation Symmetry
- The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
- Pre-Big-Bang in String Cosmology
- Cosmic Evolution in a Cyclic Universe
- From Big Crunch to Big Bang
- A Cyclic Model of the Universe
- Inflationary spacetimes are not past-complete
- Robustness of key features of loop quantum cosmology
- Towards a Nonsingular Bouncing Cosmology
- The conformal frame freedom in theories of gravitation
- Producing a Scale-Invariant Spectrum of Perturbations in a Hagedorn Phase of String Cosmology
- Generating Ekpyrotic Curvature Perturbations Before the Big Bang
- Equivalence of the Einstein and Jordan frames
- Einstein and Jordan frames reconciled: a frame-invariant approach to scalar-tensor cosmology
- Non-Gaussianities in New Ekpyrotic Cosmology
- Variable gravity Universe
- Conformal transformations in classical gravitational theories and in cosmology
- Emergent scale symmetry: Connecting inflation and dark energy
- Frame-dependence of higher-order inflationary observables in scalar-tensor theories
- The Matter Bounce Alternative to Inflationary Cosmology
- A frame independent classification of single field inflationary models
- Cyclic Cosmology, Conformal Symmetry and the Metastability of the Higgs
- Planck 2013 results support the cyclic universe
- Inflation, quintessence, and the origin of mass
- Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
- Scale-invariance in expanding and contracting universes from two-field models
- Concentric circles in WMAP data may provide evidence of violent pre-Big-Bang activity
- Sailing through the big crunch-big bang transition
- Frame Covariant Nonminimal Multifield Inflation
- Eternal Universe
- Quantum scale symmetry
- Induced gravity, and minimally and conformally coupled scalar fields in Bianchi-I cosmological models
- The anamorphic universe
- Bouncing Negative-Tension Branes
- Solution of a Braneworld Big Crunch/Big Bang Cosmology
- Quantum correlations for the metric
- Born Again Universe
- Primordial cosmic fluctuations for variable gravity
- Anisotropic singularities in modified gravity models
- Fine-tuning challenges for the matter bounce scenario
- Cosmic fluctuations from quantum effective action
- The great emptiness at the beginning of the Universe
- Primordial flat frame -- a new view on inflation
- Possible resolution of a spacetime singularity with field transformations