Classical Matter Fields in Homogeneous Cosmological Models

In this work, we have studied the late-time behavior of initially expanding homogeneous cosmological models with a positive cosmological term in Randall–Sundrum brane-world type scenarios. The matter fields are confined in the three-brane, onto which the five-dimensional Weyl tensor has a nonvanishing projection. It is found that all Bianchi models (except IX) exponentially evolve toward the de Sitter solution while the Bianchi IX model also isotropizes but with a restriction on the cosmological parameter.

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Hypersurface-homogeneous cosmological models with dynamical equation of state parameter in Lyra geometry

Canadian Journal of Physics ◽

10.1139/cjp-2015-0040 ◽

2015 ◽

Vol 93 (10) ◽

pp. 1100-1105 ◽

Cited By ~ 2

Author(s):

Shri Ram ◽

S. Chandel ◽

M.K. Verma

Keyword(s):

Dynamical Equation ◽

State Parameter ◽

Lyra Geometry ◽

Cosmological Models ◽

Anisotropic Fluid ◽

Late Time ◽

Field Equations ◽

Homogeneous Cosmological Models ◽

Negative Constant ◽

Equation Of State Parameter

The hypersurface homogeneous cosmological models are investigated in the presence of an anisotropic fluid in the framework of Lyra geometry. Exact solutions of field equations are obtained by applying a special law of variation for mean Hubble parameter that gives a negative constant value of the deceleration parameter. These solutions correspond to anisotropic accelerated expanding cosmological models that isotropize for late time even in the presence of anisotropic fluid. The anisotropy of the fluid also isotropizes at late time. Some physical and kinematical properties of the model are also discussed.

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p-ADIC AND ADELIC MINISUPERSPACE QUANTUM COSMOLOGY

International Journal of Modern Physics A ◽

10.1142/s0217751x02009734 ◽

2002 ◽

Vol 17 (10) ◽

pp. 1413-1433 ◽

Cited By ~ 16

Author(s):

GORAN S. DJORDJEVIĆ ◽

BRANKO DRAGOVICH ◽

LJUBIŠA D. NEŠIĆ ◽

IGOR V. VOLOVICH

Keyword(s):

Quantum Mechanics ◽

Cosmological Constant ◽

Quantum Cosmology ◽

Quantum Effects ◽

De Sitter Space ◽

Cosmological Models ◽

De Sitter ◽

Adelic Quantum Mechanics ◽

Matter Fields

We consider the formulation and some elaboration of p-adic and adelic quantum cosmology. The adelic generalization of the Hartle–Hawking proposal does not work in models with matter fields. p-adic and adelic minisuperspace quantum cosmology is well defined as an ordinary application of p-adic and adelic quantum mechanics. It is illustrated by a few cosmological models in one, two and three minisuperspace dimensions. As a result of p-adic quantum effects and the adelic approach, these models exhibit some discreteness of the minisuperspace and cosmological constant. In particular, discreteness of the de Sitter space and its cosmological constant is emphasized.

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