Late-time evolution of cosmological models with fluids obeying a Shan-Chen-like equation of state

Bini, Donato; Esposito, Giampiero; Geralico, Andrea

doi:10.1103/physrevd.93.023511

Cited by 7 publications

(7 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [12], it was shown that these difficulties can be overcome by means of another Born-Infeld type field -the quasitachyon, which will be briefly mentioned in the next section. Some global aspects of quantum cosmology similar to the ones here were recently investigated in [13,16,[24][25][26][27][28]. These concern, in particular, the fate of classical singularities.…”

Section: Introductionmentioning

confidence: 64%

See 1 more Smart Citation

Classical and quantum cosmology of Born-Infeld type models

2016

View full text Add to dashboard Cite

We discuss Born-Infeld type fields (tachyon fields) in classical and quantum cosmology. We first partly review and partly extend the discussion of the classical solutions and focus in particular on the occurrence of singularities. For quantization, we employ geometrodynamics. In the case of constant potential, we discuss both Wheeler-DeWitt quantization and reduced quantization. We are able to give various solutions and discuss their asymptotics. For the case of general potential, we transform the Wheeler-DeWitt equation to a form where it leads to a difference equation. Such a difference equation was previously found in the quantization of black holes. We give explicit results for the cases of constant potential and inverse squared potential and point out special features possessed by solutions of the difference equation.

show abstract

Section: Introductionmentioning

confidence: 64%

“…The solutions in the region T > 0, s < 2 3β− are attracted to the particular solution with s = 2 3β+ , cf. (28). All other solutions end in a Big Brake.…”

Section: Tachyonic and Other Born-infeld Type Fields In Classical Cos...mentioning

confidence: 99%

Classical and quantum cosmology of Born-Infeld type models

2016

View full text Add to dashboard Cite

show abstract

“…Also, we will check whether our claim that the non-ideality of the fluid does not affect the values of the cosmological parameters at equilibrium, but for the age of the Universe, should be re-examined. Our results about the classification of the singularities depending on certain relationships between the parameters of the model are also important in light of the studies of their quantum corrections (accounted for by the Wheeler-de Wit equation), as done for example in the case of dark energy models based on the non-ideal Shan-Chen fluid in which the cases of singularities characterized by a finite or diverging energy density where compared and contrasted [75]. and in general they depend on the values of the free parameters α 1 ,...,α n .…”

Section: Discussionmentioning

confidence: 88%

Phase space analysis and singularity classification for linearly interacting dark energy models

2020

View full text Add to dashboard Cite

In this paper, applying the Hartman-Grobman theorem we carry out a qualitative late-time analysis of some unified dark energy-matter Friedmann cosmological models, where the two interact through linear energy exchanges, and the dark energy fluid obeys to the dynamical equation of state of Redlich-Kwong, Modified Berthelot, and Dieterici respectively. The identification of appropriate late-time attractors allows to restrict the range of validity of the free parameters of the models under investigation. We show that the strength of deviation from an ideal fluid for the dark energy does not influence the stability of the late-time attractors, as well as the values of all the cosmological parameters at equilibrium, but for the Hubble function (which represents the age of the universe). Our analysis also shows that a singularity in the effective equation of state parameter for the dark energy fluid is not possible within this class of models.

show abstract

“…Our cosmological models are not affected by a Type IV singularity. Our analysis was completely classical and whether quantum gravity corrections á la Wheeler-DeWitt affect this picture will be clarified in a future project, as for example done in [145]. Other interesting future projects may consist in analyzing the astrophysical data about recombination epoch, 21-cm line excess at cosmic dawn, and Lyman α forest by exploiting the existence of a radiation-dominated epoch in our models; this can tame the previously mentioned disagreement between the thermodynamical Le Chatelier-Braun principle and the fact that a dark matter epoch should have come before the dark energy one [67,68] since those phenomena are usually addressed via interacting scenarios [146][147][148].…”

Section: Discussionmentioning

confidence: 99%

Cosmological evolution with quadratic gravity and nonideal fluids

Chakraborty

Gregoris

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

Some cosmological models based on the gravitational theory $$f(R)=R+\zeta R^2$$ f ( R ) = R + ζ R 2 , and on fluids obeying to the equations of state of Redlich–Kwong, Berthelot, and Dieterici are proposed for describing smooth transitions between different cosmic epochs. A dynamical system analysis reveals that these models contain fixed points which correspond to an inflationary, a radiation dominated and a late-time accelerating epoch, and a nonsingular bouncing solution, the latter being an asymptotic fixed point of the compactified phase space. The infinity of the compactified phase space is interpreted as a region in which the non-ideal behaviors of the previously mentioned cosmic fluids are suppressed. Physical constraints on the adopted dimensionless variables are derived by demanding the theory to be free from ghost and tachyonic instabilities, and a novel cosmological interpretation of such variables is proposed through a cosmographic analysis. The different effects of the equation of state parameters on the number of equilibrium solutions and on their stability nature are clarified. Some generic properties of these models, which are not sensitive to the particular fluid considered, are identified, while differences are critically examined by showing that the Redlich–Kwong scenario admits a second radiation-dominated epoch and a Big Rip Singularity.

show abstract

Late-time evolution of cosmological models with fluids obeying a Shan-Chen-like equation of state

Cited by 7 publications

References 18 publications

Classical and quantum cosmology of Born-Infeld type models

Classical and quantum cosmology of Born-Infeld type models

Phase space analysis and singularity classification for linearly interacting dark energy models

Cosmological evolution with quadratic gravity and nonideal fluids

Contact Info

Product

Resources

About