Two-fluid solutions of particle-creation cosmologies. (arXiv:1812.05493v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Pan_S/0/1/0/all/0/1">Supriya Pan</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Barrow_J/0/1/0/all/0/1">John D. Barrow</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Paliathanasis_A/0/1/0/all/0/1">Andronikos Paliathanasis</a>
Cosmological evolution driven incorporating continuous particle creation by
the time-varying gravitational field is investigated. We consider a spatially
flat, homogeneous and isotropic universe with two matter fluids in the context
of general relativity. One fluid is endowed with gravitationally induced
`adiabatic’ particle creation, while the second fluid simply satisfies the
conservation of energy. We show that the dynamics of the two fluids is entirely
controlled by a single nonlinear differential equation involving the particle
creation rate, $Gamma (t)$. We consider a very general particle creation rate,
$Gamma (t)$, that reduces to several special cases of cosmological interest,
including $Gamma =$ constant, $% Gamma propto 1/H^{n}$ ($nin mathbb{N}$),
$Gamma propto exp (1/H)$. Finally, we present singular algebraic solutions
of the gravitational field equations for the two-fluid particle creation models
and discuss their stability.
Cosmological evolution driven incorporating continuous particle creation by
the time-varying gravitational field is investigated. We consider a spatially
flat, homogeneous and isotropic universe with two matter fluids in the context
of general relativity. One fluid is endowed with gravitationally induced
`adiabatic’ particle creation, while the second fluid simply satisfies the
conservation of energy. We show that the dynamics of the two fluids is entirely
controlled by a single nonlinear differential equation involving the particle
creation rate, $Gamma (t)$. We consider a very general particle creation rate,
$Gamma (t)$, that reduces to several special cases of cosmological interest,
including $Gamma =$ constant, $% Gamma propto 1/H^{n}$ ($nin mathbb{N}$),
$Gamma propto exp (1/H)$. Finally, we present singular algebraic solutions
of the gravitational field equations for the two-fluid particle creation models
and discuss their stability.
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