Classical and quantum cosmology with two perfect fluids: stiff matter and radiation

Alvarenga, F. G.; Fracalossi, R.; Freitas, R. C.; Gonçalves, S. V. B.

doi:10.1007/s10714-017-2301-0

Cited by 10 publications

(8 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The situation in which the behaviour of a quantum universe whose material content is composed of a barotropic fluid has already been widely explored in the scientific literature [6,7,8]. We also find cosmological models in which the material content of the universe is composed of two barotropic fluids [9,10]. In [9], a universe filled with a fluid of stiff matter and radiation is quantized.…”

Section: Introductionmentioning

confidence: 81%

See 1 more Smart Citation

Quantum Cosmology with Many Fluids and the Choice of Cosmological Time

Monerat¹,

Santos

Alvarenga

et al. 2019

Braz J Phys

Self Cite

View full text Add to dashboard Cite

In this work we propose the quantization of a cosmological model describing the primordial universe filled with five barotropic fluids, namely: radiation, dust, vacuum, cosmic strings and domain walls. We intend to identify which fluid is best suited to provide phenomenologically the temporal variable in accordance with the observable universe. Through the Galerkin spectral method and the finite difference method in the Crank-Nicolson scheme (vacuum case), the cosmological solutions are obtained and compared. The vacuum case is especially interesting because it provides a tunneling transition mechanism from the quantum to the classical phase and the possibility of calculating quantum tunneling probabilities. PACS number(s): 98

show abstract

Section: Introductionmentioning

confidence: 81%

“…We also find cosmological models in which the material content of the universe is composed of two barotropic fluids [9,10]. In [9], a universe filled with a fluid of stiff matter and radiation is quantized. In [10], the quantization of a model of radiation and dust was carried out following the causal interpretation of quantum mechanics.…”

Section: Introductionmentioning

confidence: 91%

Quantum Cosmology with Many Fluids and the Choice of Cosmological Time

Monerat¹,

Santos

Alvarenga

et al. 2019

Braz J Phys

Self Cite

View full text Add to dashboard Cite

show abstract

“…However, the unified fluid is composed of two-perfect fluids [46,47] the stress-energy tensor and shall therefore assume the following form [48,49]:…”

Section: Raychaudhuri Equationmentioning

confidence: 99%

Dark Gravitational Field on Riemannian and Sasaki Spacetime

Stavrinos,

Savvopoulos

2021

Preprint

View full text Add to dashboard Cite

The aim of this paper is to provide the geometrical structure of a gravitational field that includes the addition of dark matter in the framework of a Riemannian and a Riemann-Sasaki spacetime. By means of the classical Riemannian geometric methods we arrive at modified geodesic equations, tidal forces, and Einstein and Raychaudhuri equations to account for extra dark gravity. We further examine an application of this approach in cosmology. Moreover, a possible extension of this model on the tangent bundle is studied in order to examine the behavior of dark matter in a unified geometric model of gravity with more degrees of freedom. Particular emphasis shall be laid on the problem of the geodesic motion under the influence of dark matter.

show abstract

“…and modified gravity f (R) [22,23,24,25,26,27]. The Schutz's formalism is used even with success in anisotropic quantum cosmology [28,29,30,31,32,33,34], bouncing cosmologies [35,36,37] or very recently on Brans-Dicke theory and scalar-tensor theories [38,39,40,41].…”

Section: The Schutz's Formalism In Quantum Cosmologymentioning

confidence: 99%

Dynamics of a Perfect Fluid Through Velocity Potentials with Application in Quantum Cosmology

et al. 2016

Self Cite

View full text Add to dashboard Cite

We review the Eulerian description of hydrodynamics using Seliger-Whitham's formalism (in classical case) and Schutz's formalism (in relativistic case). In these formalisms, the velocity field of a perfect fluid is described by scalar potentials.With this we can obtain the evolution equations of the fluid and its Hamiltonian.In the scenario of quantum cosmology the Schutz's formalism makes it possible to introduce phenomenologically a time variable in minisuperspace models.PACS number(s): 98.80.Cq, 98.80.Qc

show abstract

Classical and quantum cosmology with two perfect fluids: stiff matter and radiation

Cited by 10 publications

References 20 publications

Quantum Cosmology with Many Fluids and the Choice of Cosmological Time

Quantum Cosmology with Many Fluids and the Choice of Cosmological Time

Dark Gravitational Field on Riemannian and Sasaki Spacetime

Dynamics of a Perfect Fluid Through Velocity Potentials with Application in Quantum Cosmology

Contact Info

Product

Resources

About