Regular Friedmann Universes and Matter Transformations
arXiv:2403.08400 · doi:10.3390/universe10030137
Abstract
We apply a very simple procedure to construct non-singular cosmological models for flat Friedmann universes filled with minimally coupled scalar fields or by tachyon Born-Infeld-type fields. Remarkably, for the minimally coupled scalar field and the tachyon field, the regularity of the cosmological evolution, or in other words, the existence of bounce, implies the necessity of the transition between scalar fields with standard kinetic terms to those with phantom ones. In both cases, the potentials in the vicinity of the point of the transition have a non-analyticity of the cusp form that is characterized by the same exponent and is equal to 2/3. If, in the tachyon models evolution, the pressure changes its sign, then another transformation of the Born-Infeld-type field occurs: the tachyon transforms into a pseudotachyon, and vice versa. We also undertake an analysis of the stability of the cosmological evolution in our models; we rely on the study of the speed of sound squared.
arXiv comment11 pages, 2 figures
References in corpus (51)
- String Theory and Noncommutative Geometry
- An alternative to quintessence
- Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
- The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
- Rolling Tachyon
- Accelerated expansion of the universe driven by tachyonic matter
- Pre-Big-Bang in String Cosmology
- Unification of Dark Matter and Dark Energy: the Inhomogeneous Chaplygin Gas
- The Pre-Big Bang Scenario in String Cosmology
- Can dark energy evolve to the Phantom?
- From Big Crunch to Big Bang
- Cosmological Evolution of the Rolling Tachyon
- Superstring Cosmology
- Sudden Future Singularities
- Regular phantom black holes
- Black-bounce to traversable wormhole
- Tachyons, Scalar Fields and Cosmology
- Power-Law Inflation from the Rolling Tachyon
- Galilean Genesis: an alternative to inflation
- Born-Infeld inspired modifications of gravity
- Prospects and Problems of Tachyon Matter Cosmology
- G-Bounce
- Density perturbations in an Universe dominated by the Chaplygin gas
- Designing Cyclic Universe Models
- More General Sudden Singularities
- Geodesic behavior of sudden future singularities
- New Cosmological Singularities in Braneworld Models
- New Isotropic and Anisotropic Sudden Singularities
- Field sources for Simpson-Visser space-times
- Charged black-bounce spacetimes
- Scalar mesostatic field with regard for gravitational effects
- Variable gravity Universe
- Antigravity and the big crunch/big bang transition
- Vaidya spacetimes, black-bounces, and traversable wormholes
- Smooth dynamical (de)-phantomization of a scalar field in simple cosmological models
- A manifestly N=2 supersymmetric Born-Infeld action
- On black bounces, wormholes and partly phantom scalar fields
- Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
- Sailing through the big crunch-big bang transition
- Quantum cosmology and late-time singularities
- Simplest cosmological model with the scalar field
- Eternal Universe
- Regular black holes from semi-classical down to Planckian size
- Soft singularity crossing and transformation of matter properties
- Induced gravity, and minimally and conformally coupled scalar fields in Bianchi-I cosmological models
- Duality between static spherically or hyperbolically symmetric solutions and cosmological solutions in scalar-tensor gravity
- N=1 and N=2 supersymmetric non-abelian Born-Infeld actions from superspace
- Gravity of a static massless scalar field and a limiting Schwarzschild-like geometry
- Regular black holes, universes without singularities, and phantom-scalar field transitions
- Networks of cosmological histories, crossing of the phantom divide line and potentials with cusps
- Newman-Janis algorithm's application to regular black hole models