Cartan’s Tetrad Formulation

2020 ◽  
pp. 89-124
Keyword(s):  
Tetrad Formulation

Gravitation as a Composite Particle Effect in a Unified Spinor-Isospinor Preon Field Model I

1988 ◽  
Vol 43 (4) ◽  
pp. 345-359 ◽  
Author(s):  
H. Stumpf
Keyword(s):  
Field Model ◽  
Composite Particle ◽  
Low Energy ◽  
Einstein Equations ◽  
Energy Limit ◽  
Gauge Bosons ◽  
Mapping Procedure ◽  
Effective Interactions ◽  
Effective Dynamics ◽  
Tetrad Formulation

Abstract The model is defined by a selfregularizing nonlinear preon field equation, and all observable (elementary and non-elementary) particles are assumed to be bound (quantum) states of fermionic preon fields. Electroweak gauge bosons, leptons, quarks, gluons as preon composites and their effective dynamics etc. were studied in preceding papers. In this paper gravitons are introduced as four-preon composites and their effective interactions are discussed. This discussion is performed by the application of functional quantum theory to the model under consideration and subsequent evaluation of a weak mapping procedure, both introduced in preceding papers. In the low energy limit it is demonstrated that the effective graviton dynamics lead to the complete homogeneous Einstein equations in tetrad formulation.

Null-tetrad formulation of the Yang-Mills field equations

1978 ◽  
Vol 45 (2) ◽  
pp. 310-334 ◽  
Author(s):  
M. Carmeli ◽  
Ch. Charac ◽  
M. Kaye
Keyword(s):  
Field Equations ◽  
Yang Mills ◽  
Null Tetrad ◽  
Tetrad Formulation ◽  
Mills Field

Tetrad Formulation of Junction Conditions in General Relativity

1967 ◽  
Vol 8 (11) ◽  
pp. 2302-2308 ◽  
Author(s):  
Frank B. Estabrook ◽  
Hugo D. Wahlquist
Keyword(s):  
General Relativity ◽  
Junction Conditions ◽  
Tetrad Formulation

scholarly journals On Characterization of Non-commutative Minkowski Space Time

2012 ◽  
Vol 9 (1) ◽  
pp. 123-127
Author(s):  
Dharmendra Kumar ◽  
Sunil KumarYadav
Keyword(s):  
Geodesic Equation ◽  
Space Time ◽  
Gravity Models ◽  
Commutative Case ◽  
Force Equation ◽  
Minkowski Space Time ◽  
Tetrad Formulation ◽  
Commutative Space ◽  
Suitable Technique

The present study aims to derive modified geodesic equation in non-commutative space time. Snyder developed a model for non-commutative space time which provides a suitable technique of quantum structure of the space. We extend Tetrad formulation of general relativity to non-commutative case for complex gravity models. We derive geodesic equation on the k-space time in Non-commutative space, which is a generalization of Feynman’s approach. It has been shown that the homogeneous Maxwell’s equations may be derived by starting with the Newton’s force equation and generalized to relativistic. We show that the geodesic equation in the commutative space time is a suitable for generalization to κ -space time in κ -deformed space time. It shown that the κ-dependent correction to geodesic equation is cubic in velocities.

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