2018
DOI: 10.1016/j.aop.2018.09.015
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Cosmological fluids with logarithmic equation of state

Abstract: 2. The era of equivalence between volumes, when V = V 0 . That is the transition time from the deceleration to the acceleration era. Case I: c1 > 0, c2 > 0, andà > 0: Strong Instability of Phase Space, Variables Blow-up. Case II: c1 < 0, c2 < 0, andà > 0: Strong Instability of Phase Space, Variables Blow-up. Case III: c1 > 0, c2 = 0, andà > 0: Strong Instability of Phase Space, Variables Blow-up. Case IV: c1 = 0, c2 > 0, andà > 0: Strong Instability of Phase Space, Variables Blow-up. Case V: c1 = 0, c2 < 0, an… Show more

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Cited by 66 publications
(35 citation statements)
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“…The Anton-Schmidt scenario has been introduced in the cosmological context to unify dark matter and dark energy into a single fluid [24,40]. Analogously to the Chaplygin gas [41], it is possible to consider the cosmic fluid made of matter characterized by a non-vanishing equation of state, which would account for the accelerated expansion observed at late epochs of the universe evolution.…”
Section: A the Tolman-oppenheimer-volkoff Approachmentioning
confidence: 99%
“…The Anton-Schmidt scenario has been introduced in the cosmological context to unify dark matter and dark energy into a single fluid [24,40]. Analogously to the Chaplygin gas [41], it is possible to consider the cosmic fluid made of matter characterized by a non-vanishing equation of state, which would account for the accelerated expansion observed at late epochs of the universe evolution.…”
Section: A the Tolman-oppenheimer-volkoff Approachmentioning
confidence: 99%
“…• Find all possible truncations of the function f (x) in Eq. (26). A dominant truncation controls the evolution of the dynamical system near finite-time singularities, which we denote asf (x), hence the dynamical system becomes,ẋ =f (x) .…”
Section: The Classical Cosmology Framework and Interacting Dark Ementioning
confidence: 99%
“…Some other models consider a proper dark energy fluid with viscosity [9][10][11]. Such possibility may lead to a fluid with a negative pressure that may even cross the phantom barrier [9,10,[12][13][14][15]. In addition, the viscosity terms may play an essential role during the early time inflationary stage [2,16].…”
Section: Introductionmentioning
confidence: 99%
“…The second model is inspired in Anton-Schmidt's equation of state for crystalline solids ( [17]), which includes a logarithmic-corrected power-law fluid and the the same viscous term as above ζ(H) ∼ H 2β−1 , leading to the following EoS [14]:…”
Section: Introductionmentioning
confidence: 99%