2016
DOI: 10.1140/epjc/s10052-016-4426-9
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Do sewn up singularities falsify the Palatini cosmology?

Abstract: We investigate further (cf. Borowiec et al. JCAP 1601(01):040, 2016) the Starobinsky cosmological model R + γ R 2 in the Palatini formalism with a Chaplygin gas and baryonic matter as a source in the context of singularities. The dynamics reduces to the 2D sewn dynamical system of a Newtonian type (a piece-wise-smooth dynamical system). We demonstrate that the presence of a sewn up freeze singularity (glued freeze type singularities) for the positive γ is, in this case, a generic feature of the early evolutio… Show more

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Cited by 28 publications
(29 citation statements)
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References 85 publications
(144 reference statements)
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“…A priori, this extra condition would be expected to generate a completly exotic fluid with an unphysical equation of state, which would make the analogy far less interesting. A similar analogy for the transversal (i.e., crosssectional) profile of glaciated valleys holds [38]: in that case, the cosmic fluid is very exotic, with a non-linear equation of state, albeit of a type considerd by cosmologists studying dark energy [16,39]. In the beach profile analogy, however, the cosmic fluid required is physically very reasonable: its equation of state is barotropic, linear, and constant.…”
Section: Discussionmentioning
confidence: 91%
“…A priori, this extra condition would be expected to generate a completly exotic fluid with an unphysical equation of state, which would make the analogy far less interesting. A similar analogy for the transversal (i.e., crosssectional) profile of glaciated valleys holds [38]: in that case, the cosmic fluid is very exotic, with a non-linear equation of state, albeit of a type considerd by cosmologists studying dark energy [16,39]. In the beach profile analogy, however, the cosmic fluid required is physically very reasonable: its equation of state is barotropic, linear, and constant.…”
Section: Discussionmentioning
confidence: 91%
“…There was already such a calibration of MCA's outcomes toward experimental data. Namely, using [66], condition was made that k in (25a) has to have a real value. The way by which m 0 = E/c 2 was obtained from (25a) in [1] confirms that.…”
Section: Resultsmentioning
confidence: 99%
“…In this case, imposing the energy conservation equation (18) leads to a nonlinear barotropic equation of state P = P(ρ) for the analogous cosmic fluid. Such equations of state have been studied in cosmology, particularly in the last decade in relation with hypothetical forms of exotic dark energy [38][39][40][41][42][43][44][45][46]. Equations of state of the cosmic fluid of the form P = m k=1 c k ρ k (k)…”
Section: Discussionmentioning
confidence: 99%