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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…

High Energy Physics - Theory · Physics 2009-10-31 M. Blagojevic , M. Vasilic

The equivalence principle postulates a frame. This implies globally special and locally general relativity. It is proposed here that spacetime emerges from the gauge potential of translations, whilst the Lorenz symmetry is gauged into the…

General Physics · Physics 2015-11-06 Tomi S. Koivisto

Following the formalism of enveloping algebras and star product calculus we formulate and analyze a model of gauge gravity on noncommutative spaces and examine the conditions of its equivalence to general relativity. The corresponding…

High Energy Physics - Theory · Physics 2014-11-18 Sergiu I. Vacaru

The basic physical structure of the relativistic theory of gravitation is discussed. The significant role that the Hypothesis of Locality plays in relativity theory is elucidated via the phenomenon of spin-rotation coupling. The limitations…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Bahram Mashhoon

In standard quantum field theory, the one-particle states are classified by the unitary representations of the Poincar\'e group, whereas the causal fields' classification employs the finite-dimensional (non-unitary) representations of the…

High Energy Physics - Theory · Physics 2009-09-30 Marcin Kaźmierczak

We present a simple unifying gauge theoretical formulation of gravitational theories in two dimensional spacetime. This formulation includes the effects of a novel matter-gravity coupling which leads to an extended de Sitter symmetry…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Gerald Dunne

In the framework of the gauge theory based on the Poincar\'e symmetry group, the gravitational field is described in terms of the coframe and the local Lorentz connection. Considered as gauge field potentials, they give rise to the…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Yuri N. Obukhov

Linear cosmological perturbation theory is pivotal to a theoretical understanding of current cosmological experimental data provided e.g. by cosmic microwave anisotropy probes. A key issue in that theory is to extract the gauge invariant…

General Relativity and Quantum Cosmology · Physics 2010-02-17 K. Giesel , S. Hofmann , T. Thiemann , O. Winkler

In this work a study of the gravity is made using Einstein's equation in the post-Newtonian approach. This is a method to linearise the General Relativity indicated to treat non-relativistic objects. It enables us to construct, from…

General Relativity and Quantum Cosmology · Physics 2013-04-29 I. C. Jardim , R. R. Landim

In this paper we suggest gauge invariant discretization of Poincare quantum gravity. We generalize Regge calculus to the case of Riemann-Cartan space. The basic element of the constructed discretization is piecewize linear Riemann-Cartan…

High Energy Physics - Lattice · Physics 2008-11-26 M. A. Zubkov

The analysis of the validity of Birkhoff's theorem about the uniqueness of the spherically symmetric solution of the gravitational field equations is extended to the framework of the Poincar\'e gauge gravity theory. The class of models with…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Yuri N. Obukhov

Nonlocal gravity (NLG) is a classical nonlocal generalization of Einstein's theory of gravitation based on a certain analogy with the nonlocal electrodynamics of media. The history dependence enters NLG through a constitutive relation…

General Relativity and Quantum Cosmology · Physics 2022-10-13 Bahram Mashhoon

The aim of this paper is to discuss a kinematical algebraic structure of a theory of gravity, that would be unitary, renormalizable and coupled in the same manner to both spinorial and tensorial matter fields. An analysis of the common…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dj. Sijacki

A gauge theory of the Lorentz group with a mass-dimension one gauge field coupling to matter of any spin is developed. As a completely new feature the "Vierbein" assuring local gauge invariance enters not as an independent dynamical field,…

General Relativity and Quantum Cosmology · Physics 2019-03-05 C. Wiesendanger

A new formulation of theories of supergravity as theories satisfying a generalized Principle of General Covariance is given. It is a generalization of the superspace formulation of simple 4D-supergravity of Wess and Zumino and it is…

Mathematical Physics · Physics 2013-07-04 A. Santi , A. Spiro

In order to explain the late-time cosmological acceleration, we propose a new pure geometric gravity based on Deser-Woodard theory, in which the expansion of a matter-dominated universe can be accelerating. This new theory behaves as well…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Shuxun Tian

We develop the method of anholonomic frames with associated nonlinear connection (in brief, N--connection) structure and show explicitly how geometries with local anisotropy (various type of Finsler--Lagrange--Cartan--Hamilton geometry) can…

High Energy Physics - Theory · Physics 2007-05-23 Sergiu I. Vacaru

We consider a nonlocal gravity model motivated by nonperturbative Quantum Gravity studies. This model, if correct, suggests the existence of strong IR relevant effects which can lead to an interesting late time cosmology. We implement the…

General Relativity and Quantum Cosmology · Physics 2017-11-10 Luca Amendola , Nicolo Burzilla , Henrik Nersisyan

The geometro-stochastic method of quantization provides a framework for quantum general relativity, in which the principal frame bundles of local Lorentz frames that underlie the fibre-theoretical approach to classical general relativity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eduard Prugovecki

We show that the Lagrangian for Lovelock-Cartan gravity theory can be re-formulated as an action which leads to General Relativity in a certain limit. In odd dimensions the Lagrangian leads to a Chern-Simons theory invariant under the…

High Energy Physics - Theory · Physics 2015-02-11 P. K. Concha , D. M. Peñafiel , E. K. Rodríguez , P. Salgado