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In these lectures we review the basic structure of Poincare gauge theory of gravity, with emphasis on its fundamental principles and geometric interpretation. A specific limit of this theory, defined by the teleparallel geometry of…

广义相对论与量子宇宙学 · 物理学 2011-01-17 M. Blagojevic

We study gauge properties of the general teleparallel theory of gravity, defined in the framework of Poincare gauge theory. It is found that the general theory is characterized by two kinds of gauge symmetries: a specific gauge symmetry…

高能物理 - 理论 · 物理学 2009-10-31 M. Blagojevic , M. Vasilic

This is a review of the constrained dynamical structure of Poincare gauge theory which concentrates on the basic canonical and gauge properties of the theory, including the identification of constraints, gauge symmetries and conservation…

高能物理 - 理论 · 物理学 2017-09-27 M. Blagojevic

We provide an exact mapping between the Galilian gauge theory, recently advocated by us \cite{BMM1, BMM2, BM}, and the Poincare gauge theory. Applying this correspondence we provide a vielbein approach to the geometric formulation of…

广义相对论与量子宇宙学 · 物理学 2019-01-03 Rabin Banerjee , Pradip Mukherjee

We have systematically computed the generators of the symmetries arising in Poincare gauge theory formulation of gravity, both in 2+1 and 3+1 dimensions. This was done using a completely Lagrangian approach. The results are expected to be…

广义相对论与量子宇宙学 · 物理学 2010-08-10 Rabin Banerjee , Debraj Roy , Saurav Samanta

Starting with an indecomposable Poincare module M_0 induced from a given irreducible Lorentz module we construct a free Poincare invariant gauge theory defined on the Minkowski space. The space of its gauge inequivalent solutions coincides…

高能物理 - 理论 · 物理学 2015-05-13 K. B. Alkalaev , M. Grigoriev , I. Yu. Tipunin

In the gauge theory of gravity based on the Poincare group (the semidirect product of the Lorentz group and the spacetime translations) the mass (energy-momentum) and the spin are treated on an equal footing as the sources of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Yuri N. Obukhov

Gravity can be formulated as a gauge theory by combining symmetry principles and geometrical methods in a consistent mathematical framework. The gauge approach to gravity leads directly to non-Euclidean, post-Riemannian spacetime…

广义相对论与量子宇宙学 · 物理学 2020-12-14 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

A description of how a theory of gravity can be considered as a gauge theory (in the sense of Trautman) of the Poincare' group is given. As a result, it is shown that a gauge theory of this kind is consistent with the Equivalence Principle…

微分几何 · 数学 2010-01-07 A. Spiro , S. Tantucci

We discuss in detail how string-inspired lineal gravity can be formulated as a gauge theory based on the centrally extended Poincar\'e group in $(1+1)$ dimensions. Matter couplings are constructed in a gauge invariant fashion, both for…

高能物理 - 理论 · 物理学 2009-10-22 Daniel Cangemi , Roman Jackiw

We discuss the choice of the Lagrangian in the Poincar\'e gauge theory of gravity. Drawing analogies to earlier de Sitter gauge models, we point out the possibility of deriving the Einstein-Cartan Lagrangian {\it without} cosmological term…

广义相对论与量子宇宙学 · 物理学 2011-04-15 Yuri N. Obukhov , Friedrich W. Hehl

The construction of a gauge field theory for elementary particles usually starts by promoting global invariance of the matter action to a local one, this in turn implying the introduction of gauge fields. We present here a procedure that…

数学物理 · 物理学 2011-10-19 C. A. Garcia Canal , F. A. Schaposnik

We consider general linear gauge theory, with independent solder form and connection. These spaces have both torsion and nonmetricity. We show that the Cartan structure equations together with the defining equation for nonmetricity allow…

广义相对论与量子宇宙学 · 物理学 2025-03-24 James T. Wheeler

We discuss a gauging procedure that allows us to construct lagrangians that dictate the dynamics of an underlying Cartan geometry. In a sense to be made precise in the paper, the starting datum in the gauging procedure is a Klein pair…

高能物理 - 理论 · 物理学 2022-10-19 José Figueroa-O'Farrill , Emil Have , Stefan Prohazka , Jakob Salzer

Poincar\'e Gauge Theories are a class of Metric-Affine Gravity theories with a metric-compatible (i.e. Lorentz) connection and with an action quadratic in curvature and torsion. We perform an explicit one-loop calculation starting with a…

高能物理 - 理论 · 物理学 2023-07-06 Oleg Melichev , Roberto Percacci

We derive the exact gravitational wave solutions in a general class of quadratic Poincar\'e gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion and the curvature, including…

广义相对论与量子宇宙学 · 物理学 2017-04-18 Yuri N. Obukhov

We study the coupling of the gravitational action, which is a linear combination of the Hilbert-Palatini term and the quadratic torsion term, to the action of Dirac fermions. The system possesses local Poincare invariance and hence belongs…

广义相对论与量子宇宙学 · 物理学 2013-10-02 Jian Yang , Kinjal Banerjee , Yongge Ma

Following the approach of Grignani and Nardelli [1], we show how to cast the two-dimensional model $L \sim curv^2 + torsion^2 + cosm.const$ -- and in fact any theory of gravity -- into the form of a Poincare gauge theory. By means of the…

高能物理 - 理论 · 物理学 2009-10-22 Thomas Strobl

We explicitly derive, following a Noether-like approach, the criteria for preserving Poincare invariance in noncommutative gauge theories. Using these criteria we discuss the various spacetime symmetries in such theories. It is shown that,…

高能物理 - 理论 · 物理学 2007-05-23 Rabin Banerjee , Biswajit Chakraborty , Kuldeep Kumar

We give an introductory overview of the classical Poincar\'e gauge theory of gravity formulated on the spacetime manifold that carries the Riemann-Cartan geometry with nontrivial curvature and torsion. After discussing the basic…

广义相对论与量子宇宙学 · 物理学 2022-06-20 Yuri N. Obukhov
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