Poincaré gauge theory of gravitation: Foundations, exact solutions and computer algebra

2006 ◽  
pp. 222-237 ◽  
Author(s):  
J. Dermott Mc Crea
Keyword(s):  
Gauge Theory ◽  
Exact Solutions ◽  
Computer Algebra ◽  
Theory Of Gravitation

Poincaré gauge theory of gravitation and its Hamiltonian formulation

1981 ◽  
Vol 62 (2) ◽  
pp. 257-272 ◽  
Author(s):  
M. Blagojević ◽  
I. A. Nikolić ◽  
D. S. Popović ◽  
Dj Živanović
Keyword(s):  
Gauge Theory ◽  
Hamiltonian Formulation ◽  
Theory Of Gravitation

DESITTER GAUGE THEORY OF GRAVITATION

2003 ◽  
Vol 14 (01) ◽  
pp. 41-48 ◽  
Author(s):  
G. ZET ◽  
V. MANTA ◽  
S. BABETI
Keyword(s):  
Gauge Theory ◽  
Riemann Tensor ◽  
Space Time ◽  
Point Of View ◽  
Field Equations ◽  
Minkowski Space Time ◽  
Strength Tensor ◽  
Group A ◽  
Theory Of Gravitation ◽  
Tensor Formula

A deSitter gauge theory of gravitation over a spherical symmetric Minkowski space–time is developed. The "passive" point of view is adapted, i.e., the space–time coordinates are not affected by group transformations; only the fields change under the action of the symmetry group. A particular ansatz for the gauge fields is chosen and the components of the strength tensor are computed. An analytical solution of Schwarzschild–deSitter type is obtained in the case of null torsion. It is concluded that the deSitter group can be considered as a "passive" gauge symmetry for gravitation. Because of their complexity, all the calculations, inclusive of the integration of the field equations, are performed using an analytical program conceived in GRTensorII for MapleV. The program allows one to compute (without using a metric) the strength tensor [Formula: see text], Riemann tensor [Formula: see text], Ricci tensor [Formula: see text], curvature scalar [Formula: see text], field equations, and the integration of these equations.

Restrictions on gauge theory of gravitation

1976 ◽  
Vol 65 (5) ◽  
pp. 437-440 ◽  
Author(s):  
Kenji Hayashi
Keyword(s):  
Gauge Theory ◽  
Theory Of Gravitation

scholarly journals Using Algebraic Computing To Teach General Relativity And Cosmology

2012 ◽  
Vol 56 (1) ◽  
pp. 139-144
Author(s):  
Dumitru N. Vulcanov ◽  
Remus-Ştefan Ş. Boată
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Undergraduate Students ◽  
Computer Algebra ◽  
Computer Algebra System ◽  
Einstein Equations ◽  
Algebraic Programming ◽  
Algebraic Computing

AbstractThe article presents some new aspects and experience on the use of computer in teaching general relativity and cosmology for undergraduate students (and not only) with some experience in computer manipulation. Some years ago certain results were reported [1] using old fashioned computer algebra platforms but the growing popularity of graphical platforms as Maple and Mathematica forced us to adapt and reconsider our methods and programs. We will describe some simple algebraic programming procedures (in Maple with GrTensorII package) for obtaining and the study of some exact solutions of the Einstein equations in order to convince a dedicated student in general relativity about the utility of a computer algebra system.

scholarly journals Poincaré gauge gravity: An overview

2018 ◽  
Vol 15 (supp01) ◽  
pp. 1840005 ◽  
Author(s):  
Yuri N. Obukhov
Keyword(s):  
Gauge Theory ◽  
Exact Solutions ◽  
Current Status ◽  
Spacetime Geometry ◽  
Theory Of Gravity ◽  
Physical Consequences ◽  
Gauge Gravity ◽  
Dynamical Scheme ◽  
Gauge Theory Of Gravity

We review the basics and the current status of the Poincaré gauge theory of gravity. The general dynamical scheme of Poincaré gauge gravity (PG) is formulated, and its physical consequences are outlined. In particular, we discuss exact solutions with and without torsion, highlight the cosmological aspects, and consider the probing of the spacetime geometry.

Gauge theory of gravitation: (4+N)-dimensional theory

1982 ◽  
Vol 14 (9) ◽  
pp. 729-742 ◽  
Author(s):  
Takeshi Fukuyama
Keyword(s):  
Gauge Theory ◽  
Dimensional Theory ◽  
Theory Of Gravitation
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