Spatially Homogeneous Models

2003 ◽  
pp. 27-43
Author(s):  
A. A. Coley
Keyword(s):  
Homogeneous Models ◽  
Spatially Homogeneous

scholarly journals Wave-like spatially homogeneous models of Stackel spacetimes (3.1) type in the scalar-tensor theory of gravity

2020 ◽  
Vol 17 (12) ◽  
pp. 2050184
Author(s):  
Evgeny Osetrin ◽  
Konstantin Osetrin ◽  
Altair Filippov ◽  
Ilya Kirnos
Keyword(s):  
Eikonal Equation ◽  
Separation Of Variables ◽  
Equations Of Motion ◽  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
Test Particles ◽  
Petrov Classification ◽  
Homogeneous Models ◽  
Theory Of Gravitation ◽  
Spatially Homogeneous

All classes of spatially homogeneous spacetime models in the generalized scalar–tensor theory of gravitation are found to allow the integration of the equations of motion of test particles and the eikonal equation by the method of separation of variables by type (3.1). Three classes of exact solutions are obtained that relate to Shapovalov wave-like spacetime models. The resulting spacetime models are of types IV, VI and VII according to the Bianchi classification and type N according to Petrov classification.

Plane Gravitational Waves in Spatially-Homogeneous Models of type-(3.1) Stäckel Spaces

2019 ◽  
Vol 62 (2) ◽  
pp. 292-301 ◽  
Author(s):  
E. K. Osetrin ◽  
K. E. Osetrin ◽  
A. E. Filippov
Keyword(s):  
Gravitational Waves ◽  
Homogeneous Models ◽  
Spatially Homogeneous ◽  
Plane Gravitational Waves

scholarly journals Spatially Homogeneous Models Stäckel Spaces of Type (2.1)

2020 ◽  
Vol 63 (3) ◽  
pp. 410-419 ◽  
Author(s):  
E. K. Osetrin ◽  
K. E. Osetrin ◽  
A. E. Filippov
Keyword(s):  
Homogeneous Models ◽  
Spatially Homogeneous

An homogeneous growth model of gallium arsenide epitaxial layers from the gas phase

1989 ◽  
Vol 54 (11) ◽  
pp. 2933-2950
Author(s):  
Emerich Erdös ◽  
Petr Voňka ◽  
Josef Stejskal ◽  
Přemysl Klíma
Keyword(s):  
Experimental Data ◽  
Gallium Arsenide ◽  
Kinetic Study ◽  
Gas Phase ◽  
Growth Model ◽  
Epitaxial Layers ◽  
Inhomogeneous Model ◽  
Homogeneous Models ◽  
Active Centres

This paper represents a continuation and ending of the kinetic study of the gallium arsenide formation, where a so-called inhomogeneous model is proposed and quantitatively formulated in five variants, in which two kinds of active centres appear. This model is compared both with the experimental data and with the previous sequence of homogeneous models.

scholarly journals Cosmic Analogues of Classic Variational Problems

Universe ◽  
2020 ◽  
Vol 6 (6) ◽  
pp. 71 ◽  
Author(s):  
Valerio Faraoni
Keyword(s):  
Relativistic Particle ◽  
Friedmann Equation ◽  
Variational Calculus ◽  
Variational Problems ◽  
Particle Mechanics ◽  
One Dimensional ◽  
Spatially Homogeneous

Several classic one-dimensional problems of variational calculus originating in non-relativistic particle mechanics have solutions that are analogues of spatially homogeneous and isotropic universes. They are ruled by an equation which is formally a Friedmann equation for a suitable cosmic fluid. These problems are revisited and their cosmic analogues are pointed out. Some correspond to the main solutions of cosmology, while others are analogous to exotic cosmologies with phantom fluids and finite future singularities.

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