Evolution of Friedmann universe in the relativistic theory of gravitation based on spaces of constant curvature

1993 ◽  
Vol 97 (3) ◽  
pp. 1409-1420 ◽  
Author(s):  
E. Yu. Emel'yanov ◽  
Yu. V. Chugreev
Keyword(s):  
Constant Curvature ◽  
Relativistic Theory ◽  
Friedmann Universe ◽  
Spaces Of Constant Curvature ◽  
Theory Of Gravitation

The relativistic theory of gravitation based on a space of constant curvature

1991 ◽  
Vol 86 (2) ◽  
pp. 111-120 ◽  
Author(s):  
A. A. Logunov ◽  
M. A. Mestvirishvili ◽  
Yu. V. Chugreev
Keyword(s):  
Constant Curvature ◽  
Relativistic Theory ◽  
Space Of Constant Curvature ◽  
Theory Of Gravitation

Center of Mass Theorem and the Separation of Variables for Two-Body System on a Three-Dimensional Sphere

2020 ◽  
Vol 23 (3) ◽  
pp. 306-311
Author(s):  
Yu. Kurochkin ◽  
Dz. Shoukavy ◽  
I. Boyarina
Keyword(s):  
Constant Curvature ◽  
Jacobi Equation ◽  
Separation Of Variables ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Relative Distance ◽  
Dimensional Sphere ◽  
Body System ◽  
Spaces Of Constant Curvature ◽  
Hamilton Jacobi Equation

The immobility of the center of mass in spaces of constant curvature is postulated based on its definition obtained in [1]. The system of two particles which interact through a potential depending only on the distance between particles on a three-dimensional sphere is considered. The Hamilton-Jacobi equation is formulated and its solutions and trajectory equations are found. It was established that the reduced mass of the system depends on the relative distance.

Simplexes in spaces of constant curvature

1991 ◽  
Vol 38 (1) ◽  
Author(s):  
B.V. Dekster ◽  
J.B. Wilker
Keyword(s):  
Constant Curvature ◽  
Spaces Of Constant Curvature

Certain vacuum Bianchi-type models in a new relativistic theory of gravitation

1991 ◽  
Vol 179 (2) ◽  
pp. 223-235 ◽  
Author(s):  
T. Singh ◽  
Anil K. Agrawal
Keyword(s):  
Relativistic Theory ◽  
Bianchi Type ◽  
Theory Of Gravitation
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