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The role of torsion and a scalar field $\phi$ in gravitation, especially, in the presence of a Dirac field in the background of a particular class of the Riemann-Cartan geometry is considered here. Recently, a Lagrangian density with…

General Relativity and Quantum Cosmology · Physics 2009-09-04 Prasanta Mahato

We discuss polarization of gravitational radiation within the standard framework of linearized general relativity. The recent experimental discovery of gravitational waves provides the impetus to revisit the implications of the…

General Relativity and Quantum Cosmology · Physics 2022-12-22 Bahram Mashhoon , Sohrab Rahvar

The metric-affine Lagrangian of Ponomarev and Obukhov for the unified gravitational and electromagnetic field is linear in the Ricci scalar and quadratic in the tensor of homothetic curvature. We apply to this Lagrangian the variational…

General Relativity and Quantum Cosmology · Physics 2011-06-15 Nikodem J. Poplawski

In this work we present the general differential geometry of a background in which the space-time has both torsion and curvature with internal symmetries being described by gauge fields, and that is equipped to couple spinorial matter…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Luca Fabbri

In the framework of the teleparallel equivalent of general relativity, we study the dynamics of a gravitationally coupled electromagnetic field. It is shown that the electromagnetic field is able not only to couple to torsion, but also,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 V. C. de Andrade , J. G. Pereira

Particle spin polarization is known to be linked both to rotation (angular momentum) and magnetization of a many particle system. However, in the most common formulation of relativistic kinetic theory, the spin degrees of freedom appear…

Nuclear Theory · Physics 2021-08-04 Leonardo Tinti , Wojciech Florkowski

We explore the Dirac equation in external electromagnetic and torsion fields. Motivated by the previous study of quantum field theory in an external torsion field, we include a nonminimal interaction of the spinor field with torsion. As a…

High Energy Physics - Theory · Physics 2009-10-31 Lewis H. Ryder , Ilya L. Shapiro

In a consistent heterotic string theory, the Kalb-Ramond field, which is the source of spacetime torsion, is augmented by Yang-Mills and gravitational Chern-Simons terms. When compactified to 4-dimensions and in the field theory limit, such…

High Energy Physics - Theory · Physics 2011-05-25 Srijit Bhattacharjee , Ayan Chatterjee

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…

General Relativity and Quantum Cosmology · Physics 2022-06-20 Yuri N. Obukhov

After summarizing basic concepts for the exterior algebra we firstly discuss the gauge structure of the bundle over base manifold for deciding the form of the gravitational sector of the total Lagrangian in any dimensions. Then we couple…

General Relativity and Quantum Cosmology · Physics 2023-07-17 Caglar Pala , Ertan Kok , Ozcan Sert , Muzaffer Adak

In this contribution, we start off from a fully relativistic description of a single electron non-minimally coupled to an external electromagnetic field. Making direct use of the field equation, instead of canonically deriving from the…

Mesoscale and Nanoscale Physics · Physics 2020-02-24 Rodrigo Turcati , Carlos Andres Bonilla Quintero , José Abdalla Helayël-Neto , Enrique Arias

Gauge fields associated to the Dirac matrix algebra used with the standard quadratic gauge field Lagrangian lead to an extended gravitational Lagrangian which includes the Einstein-Hilbert one, plus quadratic, cosmological constant and…

General Relativity and Quantum Cosmology · Physics 2016-02-08 Jean Pierre Pansart

General Relativity with nonvanishing torsion has been investigated in the first order formalism of Poincare gauge field theory. In the presence of torsion, either side of the Einstein equation has the nonvanishing covariant divergence. This…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tomoki Watanabe , Mitsuo J. Hayashi

A general affine connection has enough degrees of freedom to describe the classical gravitational and electromagnetic fields in the metric-affine formulation of gravity. The gravitational field is represented in the Lagrangian by the…

General Relativity and Quantum Cosmology · Physics 2008-03-03 Nikodem J. Poplawski

The Poincar\'e gauge gravity (PGG) with the underlying vector fields of tetrads and spin-connections is perhaps the best theory candidate for gravitation to be unified with the other three elementary forces of nature. There is a clear…

General Relativity and Quantum Cosmology · Physics 2017-05-03 J. L. Chkareuli

A family of exact vacuum solutions, representing generalized plane waves propagating on the (anti-)de Sitter background, is constructed in the framework of Poincar\'e gauge theory. The wave dynamics is defined by the general Lagrangian that…

General Relativity and Quantum Cosmology · Physics 2017-09-21 Milutin Blagojević , Branislav Cvetković , Yuri N. Obukhov

A gauge theory of the Lorentz group, based on the different behavior of spinors and vectors under local transformations, is formulated in a flat space-time and the role of the torsion field within the generalization to curved space-time is…

High Energy Physics - Theory · Physics 2009-03-24 Nakia Carlevaro , Orchidea Maria Lecian , Giovanni Montani

In this paper, we discuss a gravitational theory based on the generalized gauge field. Our Lagrangian is invariant not only under local Lorentz transformation and the ordinary gauge transformation but also under a new gauge transformation.…

High Energy Physics - Theory · Physics 2012-07-03 Kouzou Nishida

In this paper, we study the properties of gravitational waves in the scalar-tensor-vector gravity theory. The polarizations of the gravitational waves are investigated by analyzing the relative motion of the test particles. It is found that…

General Relativity and Quantum Cosmology · Physics 2019-12-19 Yunqi Liu , Wei-Liang Qian , Yungui Gong , Bin Wang

We study sources for torsion in Poincare gauge theory of any dimension, signature, and spin. We find that symmetric kinetic terms for non-Yang-Mills bosonic fields of arbitrary rank drive torsion. Our detailed discussion of spin-3/2…

High Energy Physics - Theory · Physics 2024-01-01 James T. Wheeler