scholarly journals The canonical variables, the symplectic structure and the initial value formulation of the generalized Einstein-Cartan theory of gravity

1978 ◽  
Vol 60 (3) ◽  
pp. 215-232 ◽  
Author(s):  
Wiktor Szczyrba
Keyword(s):  
Symplectic Structure ◽  
Initial Value ◽  
Canonical Variables ◽  
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 Phantom dark energy from scalar-torsion coupling

2020 ◽  
pp. 2050331
Author(s):  
Nikodem J. Popławski
Keyword(s):  
Dark Energy ◽  
Scalar Field ◽  
Lagrangian Density ◽  
Kinetic Term ◽  
Equivalent Formulation ◽  
Phantom Dark Energy ◽  
General Relativistic ◽  
Theory Of Gravity ◽  
Cartan Theory

We show that a scalar field without a kinetic term in the Lagrangian density, coupled to the covariant divergence of the torsion vector in the Einstein–Cartan theory of gravity, becomes kinetic in its general-relativistic equivalent formulation. The resulting kinetic term is negative: such a scalar field could be a source of phantom dark energy.

scholarly journals Bosonic (p−1)-forms in Einstein-Cartan theory of gravity

2014 ◽  
Vol 90 (10) ◽  
Author(s):  
Jorge Alfaro ◽  
Simon Riquelme M.
Keyword(s):  
Theory Of Gravity ◽  
Cartan Theory

Lovelock-Cartan theory of gravity

1991 ◽  
Vol 8 (8) ◽  
pp. 1545-1558 ◽  
Author(s):  
A Mardones ◽  
J Zanelli
Keyword(s):  
Theory Of Gravity ◽  
Cartan Theory
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