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On the Poincare Gauge Theory of Gravitation  [PDF]
S. A. Ali,C. Cafaro,S. Capozziello,Ch. Corda
Physics , 2009, DOI: 10.1007/s10773-009-0149-0
Abstract: We present a compact, self-contained review of the conventional gauge theoretical approach to gravitation based on the local Poincare group of symmetry transformations. The covariant field equations, Bianchi identities and conservation laws for angular momentum and energy-momentum are obtained.
On the geometric foundation of classical gauge gravitation theory  [PDF]
G. Sardanashvily
Physics , 2002,
Abstract: A number of recent works in E-print arXiv have addressed the foundation of gauge gravitation theory again. As is well known, differential geometry of fibre bundles provides the adequate mathematical formulation of classical field theory, including gauge theory on principal bundles. Gauge gravitation theory is formulated on the natural bundles over a world manifold whose structure group is reducible to the Lorentz group. It is the metric-affine gravitation theory where a metric (tetrad) gravitational field is a Higgs field.
Gravitation as a Supersymmetric Gauge Theory  [PDF]
Roh Suan Tung
Physics , 1999, DOI: 10.1016/S0375-9601(99)00845-2
Abstract: We propose a gauge theory of gravitation. The gauge potential is a connection of the Super SL(2,C) group. A MacDowell-Mansouri type of action is proposed where the action is quadratic in the Super SL(2,C) curvature and depends purely on gauge connection. By breaking the symmetry of the Super SL(2,C) topological gauge theory to SL(2,C), a spinor metric is naturally defined. With an auxiliary anti-commuting spinor field, the theory is reduced to general relativity. The Hamiltonian variables are related to the ones given by Ashtekar. The auxiliary spinor field plays the role of Witten spinor in the positive energy proof for gravitation.
Classical gauge gravitation theory  [PDF]
G. Sardanashvily
Physics , 2011, DOI: 10.1142/S0219887811005993
Abstract: Classical gravitation theory is formulated as gauge theory on natural bundles where gauge symmetries are general covariant transformations and a gravitational field is a Higgs field responsible for their spontaneous symmetry breaking.
Hamiltonian Poincaré Gauge Theory of Gravitation  [PDF]
A. López--Pinto,A. Tiemblo,R. Tresguerres
Physics , 1996, DOI: 10.1088/0264-9381/14/2/027
Abstract: We develop a Hamiltonian formalism suitable to be applied to gauge theories in the presence of Gravitation, and to Gravity itself when considered as a gauge theory. It is based on a nonlinear realization of the Poincar\'e group, taken as the local spacetime group of the gravitational gauge theory, with $SO(3)$ as the classification subgroup. The Wigner--like rotation induced by the nonlinear approach singularizes out the role of time and allows to deal with ordinary $SO(3)$ vectors. We apply the general results to the Einstein--Cartan action. We study the constraints and we obtain Einstein's classical equations in the extremely simple form of time evolution equations of the coframe. As a consequence of our approach, we identify the gauge--theoretical origin of the Ashtekar variables.
On the BV quantization of gauge gravitation theory  [PDF]
D. Bashkirov,G. Sardanashvily
Mathematics , 2005,
Abstract: Quantization of gravitation theory as gauge theory of general covariant transformations in the framework of Batalin-Vilkoviski (BV) formalism is considered. Its gauge-fixed Lagrangian is constructed.
Conformal Gauge Relativity - On the Geometrical Unification of Gravitation and Gauge Fields  [PDF]
Juan Andres Musante
Physics , 2010,
Abstract: A Lagrangian depending on geometric variables (metric, affine connection, gauge group generators) is given which maintains compatibility with General Relativity. It generates the dynamics for Electromagnetism and other Gauge Fields along with Gravitation, at the time it gives a geometric foundation for the stress-energy tensor of continuous matter. The geometric-invariance principle under this integration is exposed and the resulting field equations are obtained. The theory is developed over the tangent space of a four-dimensional real manifold and the generators become those from the Homogenous Lorentz group.
On the problem of cosmological singularity within gauge theories of gravitation  [PDF]
G. V. Vereshchagin
Physics , 2003,
Abstract: In this note I discuss the problem of cosmological singularities within gauge theories of gravitation. Solutions of cosmological equations with the scalar field are considered.
Gauge gravitation theory from the geometric viewpoint  [PDF]
G. Sardanashvily
Mathematics , 2005,
Abstract: This is the Preface to the special issue of 'International Journal of Geometric Methods in Modern Physics', v.3, N.1 (2006) dedicated to the 50th aniversary of gauge gravitation theory. It addresses the geometry underlying gauge gravitation theories, their higher-dimensional, supergauge and non-commutatuve extensions.
Vanishing Vierbein in Gauge Theories of Gravitation  [PDF]
Arkadiusz Jadczyk
Physics , 1999,
Abstract: We discuss the problem of a degenerate vierbein in the framework of gauge theories of gravitation (thus including torsion). We discuss two examples: Hanson-Regge gravitational instanton and Einstein-Rose bridge.We argue that a region of space-time with vanishing vierbein but smooth principal connection can be, in principle, detected by scattering experiments.
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