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We study the non-relativistic Newton-Cartan limit of higher-order gravity theories in arbitrary dimensions. We first study it at the level of the action by introducing an additional 1-form gauge field and coupling it appropriately to the…

高能物理 - 理论 · 物理学 2025-07-09 Biel Cardona , Luca Romano

In the framework of quantum field theory, we analyze the neutrino oscillations in the presence of a torsion background. We consider the Einstein-Cartan theory and we study the cases of constant torsion and of linearly time dependent…

高能物理 - 唯象学 · 物理学 2024-02-13 Antonio Capolupo , Giuseppe De Maria , Simone Monda , Aniello Quaranta , Raoul Serao

We start by presenting the general set of structure equations for the 1+3 threading spacetime decomposition in 4 spacetime dimensions, valid for any theory of gravitation based on a metric compatible affine connection. We then apply these…

广义相对论与量子宇宙学 · 物理学 2023-04-18 Paulo Luz , José P. S. Lemos

The influence of space-time torsion on gravitational interaction at cosmological and astrophysical scales is discussed within the framework of gauge gravitation theory in Riemann-Cartan space-time. It is shown that the interaction of the…

广义相对论与量子宇宙学 · 物理学 2017-09-27 A. V. Minkevich

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…

广义相对论与量子宇宙学 · 物理学 2009-09-04 Prasanta Mahato

The Einstein--Cartan Theory (ECT) of gravity is a modification of General Relativity Theory (GRT), allowing space-time to have torsion, in addition to curvature, and relating torsion to the density of intrinsic angular momentum. This…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Andrzej Trautman

We extend the usual vacuum Metric-Affine $f(R)$ Gravity by supplementing it with all parity even quadratic invariants in torsion and non-metricity. As we show explicitly this supplementation drastically changes the status of the Theory…

广义相对论与量子宇宙学 · 物理学 2024-09-19 Damianos Iosifidis

Coupling fermions to gravity necessarily leads to a non-renormalizable, gravitational four-fermion contact interaction. In this essay, we argue that augmenting the Einstein-Cartan Lagrangian with suitable kinetic terms quadratic in the…

广义相对论与量子宇宙学 · 物理学 2017-02-14 Jens Boos , Friedrich W. Hehl

We discuss some of the consequences of changing the matter to gravity coupling without affecting the gravitational dynamics. The Einstein tensor is usually assumed to be proportional to the stress tensor due to the divergence free property…

广义相对论与量子宇宙学 · 物理学 2013-01-15 T. Delsate , J. Steinhoff

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.

广义相对论与量子宇宙学 · 物理学 2026-03-11 Nikodem Popławski

In the standard Einstein-Cartan theory(EC), matter fields couple to gravitation field through the Minimal Coupling Procedure(MCP), yet leaving the theory an ambiguity: applying MCP to the action or to the equation of motion would lead to…

广义相对论与量子宇宙学 · 物理学 2019-12-09 Zi-Wei Chen , Run Diao , Xiang-Song Chen

The generic form of spacetime dynamics as a classical gauge field theory has recently been derived, based on only the action principle and on the Principle of General Relativity. It was thus shown that Einstein's General Relativity is the…

广义相对论与量子宇宙学 · 物理学 2019-05-28 J. Struckmeier , J. Muench , P. Liebrich , M. Hanauske , J. Kirsch , D. Vasak , L. Satarov , H. Stoecker

We discuss the role of torsion in string theory on inducing pseudoscalar degrees of freedom (axions), which in turn couple to (gravitational) Chern-Simons (CS) anomalous terms. Such interactions can induce inflation, of running vacuum type,…

广义相对论与量子宇宙学 · 物理学 2024-04-30 Nick E. Mavromatos , Panagiotis Dorlis , Sotirios-Neilos Vlachos

We investigate torsion-driven cosmological dynamics within the framework of Einstein-Cartan gravity using the De Donder-Weyl Hamiltonian formalism, where the tetrad and Lorentz connection act as independent variables and the Hamiltonian…

广义相对论与量子宇宙学 · 物理学 2026-02-18 Aarav Shah , M. Yu. Khlopov , M. Krasnov

The effects of non-Riemannian structures in Cosmology have been studied long ago and are still a relevant subject of investigation. In the seventies, it was discovered that singularity avoidance and early accelerated expansion can be…

广义相对论与量子宇宙学 · 物理学 2009-10-01 G. de Berredo-Peixoto , E. A. de Freitas

This work derives the elements of classical Einstein Cartan theory (EC) from classical general relativity (GR) in two ways. (I) Derive discrete versions of torsion (translational holonomy) and the spin torsion field equation of EC from one…

广义相对论与量子宇宙学 · 物理学 2022-05-31 Richard James Petti

The dynamics of the torsion field is analyzed in the framework of the Covariant Canonical Gauge Theory of Gravity (CCGG), a De~Donder-Weyl Hamiltonian formulation of gauge gravity. The action is quadratic in both, the torsion and the…

广义相对论与量子宇宙学 · 物理学 2024-05-29 Vladimir Denk , David Vasak , Johannes Kirsch

In the Einstein-Cartan theory of torsion-free gravity coupling to massless fermions, the four-fermion interaction is induced and its strength is a function of the gravitational and gauge couplings, as well as the Immirzi parameter. We study…

高能物理 - 理论 · 物理学 2008-11-26 She-Sheng Xue

We argue that the non gauge invariant coupling between torsion and the Maxwell or Yang-Mills fields in Einstein-Cartan theory can not be ignored. Arguments based in the existence of normal frames in neighbourhoods, and an approximation to a…

广义相对论与量子宇宙学 · 物理学 2013-03-11 Miguel Socolovsky

The present paper analyses the Einstein-Cartan theory of gravitation with Elko spinors as sources of curvature and torsion. After minimally coupling the Elko spinors to torsion, the spin angular momentum tensor is derived and its structure…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Christian G. Boehmer