scholarly journals Homogeneous and isotropic space-time, modified torsion field and complete cosmic scenario

2020 ◽  
Vol 80 (3) ◽  
Author(s):  
Akash Bose ◽  
Subenoy Chakraborty
Keyword(s):  
Space Time ◽  
Torsion Field ◽  
Isotropic Space

A GENERALIZED METRIC OF GRAVITATION

1992 ◽  
Vol 07 (13) ◽  
pp. 3133-3139 ◽  
Author(s):  
ALI EL-TAHIR
Keyword(s):  
Scalar Curvature ◽  
Weak Field ◽  
Space Time ◽  
Isotropic Space ◽  
Generalized Metric

Useful expressions relating the metric components grr and gtt of the static isotropic space–time, and the scalar curvature R, with the general Lagrangian are obtained. A generalized metric of gravity is introduced, which is essentially nonsingular, and reducible to cosmological and hence Schwarzschild geometries by imposing a weak-field constraint.

Adaptive data processing of isotropic space-time fields

2006 ◽  
Vol 73 (10) ◽  
pp. 702
Author(s):  
S. S. Antsyferov ◽  
N. N. Evtikhiev
Keyword(s):  
Data Processing ◽  
Space Time ◽  
Isotropic Space

scholarly journals Infinity of geodesics in a homogeneous and isotropic expanding space-time

2016 ◽  
Vol 13 (04) ◽  
pp. 1650048 ◽  
Author(s):  
Fayçal Ben Adda ◽  
Hélène Porchon
Keyword(s):  
Space Time ◽  
Geometric Optics ◽  
Discrete Simulation ◽  
Cosmic Inflation ◽  
Inflation Model ◽  
Isotropic Space ◽  
Variable Topology

In this paper, we construct a discrete simulation of an expanding homogeneous and isotropic space-time that expands via expansion of its basic elements to figure out properties and characteristics of such a space-time and derive conclusions. We prove that in such an expanding space-time, the geodesics are curved and more precisely, they fluctuate on the boundaries of the expanding basic elements. The non-existence of privileged expansion direction leads to the existence of an infinity of fluctuating geodesics between any two locations in this space-time, that provides a prediction of polarization in geometric optics, and a prediction of an earlier acceleration of the expansion as for the cosmic inflation model. This simulation is a case study and an example of space-time with variable topology using the principle of variation of topology via a transformation that creates holes.

scholarly journals The space–time torsion in the context of the exact Foldy–Wouthuysen transformation for a Dirac fermion

2016 ◽  
Vol 31 (13) ◽  
pp. 1650075 ◽  
Author(s):  
Bruno Gonçalves ◽  
Baltazar J. Ribeiro ◽  
Dante D. Pereira ◽  
Mário M. Dias
Keyword(s):  
Function Space ◽  
Experimental Analysis ◽  
Bound State ◽  
Space Time ◽  
Dirac Fermion ◽  
Dirac Field ◽  
Torsion Field

In this paper, we focus our attention in the inconsistency that appears when the semi-exact Foldy–Wouthuysen transformation for the Dirac field interacting with space–time torsion field is performed. In order to solve this problem, we present a new involution operator that makes possible to perform the exact transformation when torsion field is present. Such operator has a structure, well known in the literature, composed of the product of an operator that acts in the matrices space and another one that acts in the function space. We also present the bound state of this theory and discuss the possible experimental analysis.

Space, Time and Einstein

2002 ◽  
Author(s):  
J. B. Kennedy
Keyword(s):  
Space Time

Spinors and Space-Time

1984 ◽  
Author(s):  
Roger Penrose ◽  
Wolfgang Rindler
Keyword(s):  
Space Time
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