Cosmological Coriolis fields in the Newton-Cartan theory

1990 ◽  
Vol 22 (7) ◽  
pp. 765-769 ◽  
Author(s):  
G. Dautcourt
Keyword(s):  
Cartan Theory

scholarly journals A square-torsion modification of Einstein-Cartan theory

2012 ◽  
Vol 524 (12) ◽  
pp. 826-839 ◽  
Author(s):  
S. Vignolo ◽  
L. Fabbri ◽  
C. Stornaiolo
Keyword(s):  
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 On the Mathematics of Coframe Formalism and Einstein–Cartan Theory—A Brief Review

Universe ◽  
2019 ◽  
Vol 5 (10) ◽  
pp. 206 ◽  
Author(s):  
Manuel Tecchiolli
Keyword(s):  
Conservation Laws ◽  
Gauge Fields ◽  
Field Equations ◽  
Principal Bundles ◽  
Bianchi Identities ◽  
Cartan Theory

This article is a review of what could be considered the basic mathematics of Einstein–Cartan theory. We discuss the formalism of principal bundles, principal connections, curvature forms, gauge fields, torsion form, and Bianchi identities, and eventually, we will end up with Einstein–Cartan–Sciama–Kibble field equations and conservation laws in their implicit formulation.

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