Causal Friedmann-Robertson-Walker cosmology

Pavón, Diego; Bafaluy, J.; Jou, David

doi:10.1088/0264-9381/8/2/014

Cited by 197 publications

(158 citation statements)

References 20 publications

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“…[9,18,29,[31][32][33][34][35][36][37][38][39][40][41][42]. However, the perturbative analysis of the viscous cosmological models is not as widely addressed, despite its crucial importance.…”

Section: Introductionmentioning

confidence: 99%

Bulk viscous cosmology with causal transport theory

Piattella

Fabris

Zimdahl

2011

J. Cosmol. Astropart. Phys.

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Abstract. We consider cosmological scenarios originating from a single imperfect fluid with bulk viscosity and apply Eckart's and both the full and the truncated Müller-Israel-Stewart's theories as descriptions of the non-equilibrium processes. Our principal objective is to investigate if the dynamical properties of Dark Matter and Dark Energy can be described by a single viscous fluid and how such description changes when a causal theory (Müller-IsraelStewart's, both in its full and truncated forms) is taken into account instead of Eckart's non-causal theory. To this purpose, we find numerical solutions for the gravitational potential and compare its behaviour with the corresponding ΛCDM case. Eckart's and the full causal theory seem to be disfavoured, whereas the truncated theory leads to results similar to those of the ΛCDM model for a bulk viscous speed in the interval 10 −11 ≪ c 2 b 10 −8 . Tentatively relating such value to a square propagation velocity of the order of T /m of perturbations in a non-relativistic gas of particles with mass m at the epoch of matter-radiation equality, this may be compatible with a mass range 0.1 GeV m ≪ 100 GeV.

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Section: Introductionmentioning

confidence: 99%

Bulk viscous cosmology with causal transport theory

Piattella

Fabris

Zimdahl

2011

J. Cosmol. Astropart. Phys.

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“…(26). In most of the investigations involving bulk viscosity is assumed to be a simple power function of the energy density [47]− [49]:…”

Section: Solutions Of the Field Equationsmentioning

confidence: 99%

Plane symmetric bulk viscous domain wall in Lyra geometry

Pradhan

Kumar

Yadav³

2007

Braz. J. Phys.

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In this paper general solutions are found for domain walls in Lyra geometry in the plane symmetric spacetime metric given by Taub. Expressions for the energy density and pressure of domain walls are derived in both cases of uniform and time varying displacement field β. Some physical consequences of the models are also given. Finally, the geodesic equations and acceleration of the test particle are discussed.

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“…In the cosmological setting, y is frequently a monotonic function of either the scale factor or the Hubble rate in an expanding universe (cf. [5] [6] [7] [8]). Hence y(t) > 0 and equation (1), if not algebraic, is still well defined.…”

Section: The Generalized Power Expansionmentioning

confidence: 99%

The branching problem in generalized power solutions to differential equations

Jakubi

2004

Mathematics and Computers in Simulation

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Generalized power asymptotic expansions of solutions to differential equations that depend on parameters are investigated. The changing nature of these expansions as the parameters of the model cross critical values is discussed. An algorithm to identify these critical values and generate the generalized power series for distinct families of solutions is presented, and as an application the singular behavior of a cosmological model with a nonlinear dissipative fluid is obtained. This algorithm has been implemented in the computer algebra system Maple.

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Causal Friedmann-Robertson-Walker cosmology

Cited by 197 publications

References 20 publications

Bulk viscous cosmology with causal transport theory

Bulk viscous cosmology with causal transport theory

Plane symmetric bulk viscous domain wall in Lyra geometry

The branching problem in generalized power solutions to differential equations

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