Axially Symmetric Solution of the Weyl–Cartan Theory of Gravity and the Problem of the Rotation Curves of Galaxies

2016 ◽  
Vol 59 (8) ◽  
pp. 1321-1323 ◽  
Author(s):  
O. V. Babourova ◽  
P. É. Kudlaev ◽  
B. N. Frolov
Keyword(s):  
Symmetric Solution ◽  
Axially Symmetric ◽  
Rotation Curves ◽  
Theory Of Gravity ◽  
Cartan Theory

A formulation of Newton–Cartan gravity and quantum mechanics using D-differentiation

2019 ◽  
Vol 16 (04) ◽  
pp. 1950057
Author(s):  
D. J. Hurley ◽  
M. A. Vandyck
Keyword(s):  
Quantum Mechanics ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics ◽  
Classical Gravity ◽  
Theory Of Gravity ◽  
Cartan Theory

The Newton–Cartan theory of gravity is expressed in the language of [Formula: see text]-differentiation. A characteristic of this approach is that the same framework accommodates, together with classical gravity, also non-relativistic Quantum Mechanics (coupled to gravity), both in its standard Schrödingerian form and in that of de Broglie and Bohm.

scholarly journals An axially symmetric solution of metric-affine gravity

1996 ◽  
Vol 13 (12) ◽  
pp. 3253-3259 ◽  
Author(s):  
E J Vlachynsky ◽  
R Tresguerres ◽  
Yu N Obukhov ◽  
F W Hehl
Keyword(s):  
Symmetric Solution ◽  
Axially Symmetric ◽  
Affine Gravity

Kerr–Newman solution in modified teleparallel theory of gravity

2014 ◽  
Vol 24 (01) ◽  
pp. 1550007 ◽  
Author(s):  
Gamal G. L. Nashed
Keyword(s):  
Azimuthal Angle ◽  
Polar Angle ◽  
Radial Coordinate ◽  
Lorentz Transformations ◽  
Square Root ◽  
Axially Symmetric ◽  
Field Equations ◽  
Tetrad Field ◽  
Teleparallel Theory ◽  
Theory Of Gravity

A nondiagonal tetrad field having six unknown functions plus an angle Φ, which is a function of the radial coordinate r, azimuthal angle θ and the polar angle ϕ, is applied to the charged field equations of modified teleparallel theory of gravity. A special nonvacuum solution is derived with three constants of integration. The tetrad field of this solution is axially symmetric and its scalar torsion is constant. The associated metric of the derived solution gives Kerr–Newman spacetime. We have shown that the derived solution can be described by a local Lorentz transformations plus a diagonal tetrad field that is the square root of the Kerr–Newman metric. We show that any solution of general relativity (GR) can be a solution in f(T) under certain conditions.

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