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Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated as low energy limit of higher-dimensional or unified…

General Physics · Physics 2025-12-09 F. Minotti , G. Modanese

Violation of parity symmetry in the gravitational sector, which manifests into unequal left and right circular polarization states of primordial gravitational waves, represents a way to test high-energy modifications to general relativity.…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-08 Nicola Bartolo , Luca Caloni , Giorgio Orlando , Angelo Ricciardone

In this paper we present an alternative cosmological extension of the three-dimensional extended Newtonian Chern-Simons gravity by switching on the torsion. The theory is obtained as a non-relativistic limit of an enhancement and…

High Energy Physics - Theory · Physics 2023-02-08 Patrick Concha , Evelyn Rodríguez , Gustavo Rubio , Paola Yañez

Non-Abelian gauge fields are traditionally not coupled to torsion due to violation of gauge invariance. However, it is possible to couple torsion to Yang-Mills fields while maintaining gauge invariance provided one accepts that the gauge…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Mukku

We consider a modification of the standard Einstein theory in four dimensions, alternative to R. Jackiw and S.-Y. Pi, Phys. Rev. D 68, 104012 (2003), since it is based on the first-order (Einstein-Cartan) approach to General Relativity,…

High Energy Physics - Theory · Physics 2008-11-26 Marcelo Botta Cantcheff

As is well known, both Weyl and Weitzenb\"ock spacetimes were initially used as attempts to geometrize the electromagnetic field. In this letter, we prove that this field can also be regarded as a geometrical quantity in an extended version…

General Relativity and Quantum Cosmology · Physics 2013-04-03 J. B. Formiga , J. B. Fonseca--Neto , C. Romero

Static spherically symmetric solution in a background spacetime with torsion is derived explicitly. The torsion considered here is identified with the field strength of a second rank antisymmetric tensor field namely the Kalb-Ramond field…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Soumitra SenGupta , Saurabh Sur

We show how the Newton-Cartan formulation of Newtonian gravity can be obtained from gauging the Bargmann algebra, i.e., the centrally extended Galilean algebra. In this gauging procedure several curvature constraints are imposed. These…

High Energy Physics - Theory · Physics 2011-05-26 Roel Andringa , Eric Bergshoeff , Sudhakar Panda , M. de Roo

We consider quantum gravitational corrections to Maxwell's equations on flat space background. Although the vacuum polarization is highly gauge dependent, we explicitly show that this gauge dependence is canceled by contributions from the…

General Relativity and Quantum Cosmology · Physics 2021-11-17 S. Katuwal , R. P. Woodard

We present a systematic theoretical framework for investigating first-order electromagnetic (EM) perturbations induced by gravitational waves (GWs). Beginning with the covariant Maxwell equations, we derive the complete first-order…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Lingyue Lou , Haorong Wu , Xi-Long Fan

We derive the covariant Poisson's equation of (d+1)-dimensional Newton-Cartan gravity with (twistless) torsion by applying the `non-relativistic conformal method' introduced in arXiv:1512.06277. We apply this method on-shell to a…

High Energy Physics - Theory · Physics 2019-04-23 Mohammad Abedini , Hamid R. Afshar , Ahmad Ghodsi

Holst term represents an interesting addition to the Einstein-Cartan theory of gravity with torsion. When this term is present the contact interactions between vector and axial vector fermion currents gain an extra parity-violating…

High Energy Physics - Theory · Physics 2014-09-01 Ilya L. Shapiro , Poliane M. Teixeira

We address the implementation of the cosmological principle, that is, the assumption of homogeneity and isotropy in the spatial distribution of matter in the Universe, within the context of Einstein-Cartan theory including minimal couplings…

General Relativity and Quantum Cosmology · Physics 2020-11-03 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

It is shown that in static and spherically symmetric configurations of the system of Maxwell field coupled to 3D gravity with torsion, at least one of the Maxwell field components has to vanish. Restricting our attention to the electric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Blagojević , B. Cvetković

By applying Schwinger's variational principle to the Einstein$-$Cartan action for the gravitational field, we derive quantum commutation relations between the metric and torsion tensors.

General Relativity and Quantum Cosmology · Physics 2026-03-11 Nikodem Popławski

We review the application of torsion in field theory. First we show how the notion of torsion emerges in differential geometry. In the context of a Cartan circuit, torsion is related to translations similar as curvature to rotations.…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Friedrich W. Hehl , Yuri N. Obukhov

We study propagation of closed bosonic strings in torsional Newton-Cartan geometry based on a recently proposed Polyakov type action derived by dimensional reduction of the ordinary bosonic string along a null direction. We generalize the…

High Energy Physics - Theory · Physics 2020-10-28 A. D. Gallegos , U. Gursoy , N. Zinnato

We investigate the axial vector torsion-spin coupling effects in the framework of the Poincar\'e gauge theory of gravity with the general Yang-Mills type Lagrangian. The dynamical equations for the ``electric'' and ``magnetic'' components…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Mariya Iv. Trukhanova , Pavel Andreev , Yuri N. Obukhov

We investigate the consequences of a transient phase of enhanced parity violation during inflation. Modeling this phase through a time-localized Chern--Simons-like coupling, we show that it amplifies primordial gravitational waves at small…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-30 Gianmassimo Tasinato

Recently the modified teleparallel gravity models attracted a lot of interests. In this paper we consider more extensions to the New General Relativity (NGR) model with parity violations. This extended NGR model differs from the normal NGR…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Yuxuan Kang , Mingzhe Li , Yeheng Tong