# Paradox of soft singularity crossing and its resolution by distributional cosmological quantities

@article{Keresztes2012ParadoxOS, title={Paradox of soft singularity crossing and its resolution by distributional cosmological quantities}, author={Zolt{\'a}n Keresztes and L'aszl'o 'A. Gergely and Alexander Yu. Kamenshchik}, journal={Physical Review D}, year={2012}, volume={86}, pages={063522} }

A cosmological model of a flat Friedmann universe filled with a mixture of anti-Chaplygin gas and dust-like matter exhibits a future soft singularity, where the pressure of the anti-Chaplygin gas diverges (while its energy density is finite). Despite infinite tidal forces the geodesics pass through the singularity. Due to the dust component, the Hubble parameter has a non-zero value at the encounter with the singularity, therefore the dust implies further expansion. With continued expansion…

## 27 Citations

### Future soft singularities, Born-Infeld-like fields, and particles

- Mathematics, Physics
- 2020

We consider different scenarios of the evolution of the universe, where the singularities or some non-analyticities in the geometry of the spacetime are present, trying to answer the following…

### Quantum cosmology and late-time singularities

- Physics
- 2013

The development of dark energy models has stimulated interest to cosmological singularities, which differ from the traditional Big Bang and Big Crunch singularities. We review a broad class of…

### Interacting realization of cosmological singularities with variable vacuum energy

- Physics
- 2015

We examine an interacting dark matter--variable vacuum energy model for a spatially flat Friedmann-Roberston-Walker spacetime, focusing on the appearance of cosmological singularities such as…

### Singular Inflation

- Mathematics
- 2015

We prove that a homogeneous and isotropic universe containing a scalar field with a power-law potential, V (φ) = Aφn, with 0 < n < 1 and A > 0 always develops a finite-time singularity at which the…

### Combined cosmological tests of a bivalent tachyonic dark energy scalar field model

- Physics
- 2014

A recently investigated tachyonic scalar field dark energy dominated universe exhibits a bivalent future: depending on initial parameters can run either into a de Sitter exponential expansion or into…

### Soft singularity crossing and transformation of matter properties

- Mathematics
- 2013

We investigate particular cosmological models, based either on tachyon fields or on perfect fluids, for which soft future singularities arise in a natural way. Our main result is the description of a…

### f(T) cosmology: from Pseudo-Bang to Pseudo-Rip

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2021

We investigate the complete universe evolution in the framework of f(T) cosmology. We first study the requirements at the kinematic level and we introduce a simple scale factor with the necessary…

### Asymptotic solutions in f(R)-gravity

- Mathematics
- 2014

We study cosmological solutions in R + βRN-gravity for an isotropic Universe filled with ordinary matter with the equation of state parameter γ. Using the Bogolyubov–Krylov–Mitropol’skii averaging…

### Black-and-white hole as a space-time with integrable singularity

- Physics
- 2016

We discuss the problem of singularities in general relativity and emphasize the distinction that should be made between what is understood to be mathematical and physical singularities. We revise…

### Big brake singularity is accommodated as an exotic quintessence field

- Physics
- 2016

We describe a big brake singularity in terms of a modified Chaplygin gas equation of state $p=(\ga_{m}-1)\rho+\al\ga_{m}\rho^{-n}$, accommodate this late-time event as an exotic quintessence model…

## References

SHOWING 1-10 OF 69 REFERENCES

### Quantum effects, soft singularities and the fate of the universe in a braneworld cosmology

- Physics
- 2006

We examine a class of braneworld models in which the expanding universe encounters a ‘quiescent’ future singularity. At a quiescent singularity, the energy density and pressure of the cosmic fluid as…

### Gauss-Bonnet Braneworld Redux: A Novel Scenario for the Bouncing Universe

- Physics
- 2012

We propose a new scenario for the bouncing universe in a simple five-dimensional braneworld model in the framework of Einstein-Gauss-Bonnet gravity, which works even with ordinary matter on the…

### Geodesically Complete Analytic Solutions for a Cyclic Universe

- Mathematics
- 2011

We present analytic solutions to a class of cosmological models described by a canonical scalar field minimally coupled to gravity and experiencing self interactions through a hyperbolic potential.…

### The singularities of gravitational collapse and cosmology

- MathematicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1970

A new theorem on space-time singularities is presented which largely incorporates and generalizes the previously known results. The theorem implies that space-time singularities are to be expected if…

### How far is it to a sudden future singularity of pressure

- Physics
- 2007

We discuss the constraints coming from current observations of type Ia supernovae on cosmological models which allow sudden future singularities of pressure (with the scale factor and the energy…

### The Cosmological Constant and Dark Energy

- Physics
- 2003

Physics invites the idea that space contains energy whose gravitational effect approximates that of Einstein's cosmological constant, Lambda: nowadays the concept is termed dark energy or…

### Will the tachyonic Universe survive the Big Brake

- Physics
- 2010

We investigate a Friedmann universe filled with a tachyon scalar field, which behaved as dustlike matter in the past, while it is able to accelerate the expansion rate of the Universe at late times.…

### Quantum cosmology with a big-brake singularity

- Physics, Mathematics
- 2007

We investigate a cosmological model with a big-brake singularity in the future: while the first time derivative of the scale factor goes to zero, its second time derivative tends to minus infinity.…

### Tachyons, scalar fields, and cosmology

- Physics
- 2004

We study the role that tachyon fields may play in cosmology as compared to the well-established use of minimally coupled scalar fields. We first elaborate on a kind of correspondence existing between…

### Generalized Friedmann branes

- Physics
- 2003

We prove that for a large class of generalized Randall-Sundrum II type models the characterization of brane-gravity sector by the effective Einstein equation, Codazzi equation and the…