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We solve one of the open problems in Einstein-Cartan theory, namely we find a natural matter source whose spin angular momentum tensor is compatible with the cosmological principle. We analyze the resulting evolution equations and find that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer , James Burnett

Inflation in the framework of Einstein-Cartan theory is revisited. Einstein-Cartan theory is a natural extension of the General Relativity, with non-vanishing torsion. The connection on Riemann-Cartan spacetime is only compatible with the…

High Energy Physics - Theory · Physics 2021-08-23 Ammar Kasem , Shaaban Khalil

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…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Vladimir Denk , David Vasak , Johannes Kirsch

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…

General Relativity and Quantum Cosmology · Physics 2009-10-01 G. de Berredo-Peixoto , E. A. de Freitas

Motivated by conventional gauge theories, we consider a theory of gravity in which the Einstein-Hilbert action is replaced by a term that is quadratic in the Riemann tensor. We focus on cosmological solutions to the field equations in flat,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Lasenby , C. J. L. Doran , R. Heineke

Einstein-Cartan theory is an extension of the standard formulation of General Relativity where torsion (the antisymmetric part of the affine connection) is non-vanishing. Just as the space-time metric is sourced by the stress-energy tensor…

General Relativity and Quantum Cosmology · Physics 2019-12-30 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

We extend the treatment of quantum cosmology to a manifold with torsion. We adopt a model of Einstein-Cartan-Sciama-Kibble compatible with the cosmological principle. The universe wavefunction will be subject to a $\mathcal{PT}$-symmetric…

General Relativity and Quantum Cosmology · Physics 2020-12-22 Ammar Kasem , Shaaban Khalil

The Covariant Canonical Gauge theory of Gravity (CCGG) is a gauge field formulation of gravity which a priori includes non-metricity and torsion. It extends the Lagrangian of Einstein's theory of general relativity by terms at least…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Armin van de Venn , David Vasak , Johannes Kirsch , Jürgen Struckmeier

An extension to the Einstein-Cartan (EC) action is discussed in terms of cosmological solutions. The torsion incorporated in the EC Lagrangian is assumed to be totally anti-symmetric, represented by a time-like axial vector $S^\mu$. The…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-30 David Benisty , Eduardo I. Guendelman , Armin van de Venn , David Vasak , Jürgen Struckmeier , Horst Stoecker

The Einstein-Cartan theory of gravitation and the classical theory of defects in an elastic medium are presented and compared. The former is an extension of general relativity and refers to four-dimensional space-time, while we introduce…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Matteo Luca Ruggiero , Angelo Tartaglia

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

We consider a gravitational model in a Weyl-Cartan space-time, in which the Weitzenb\"{o}ck condition of the vanishing of the sum of the curvature and torsion scalar is also imposed. Moreover, a kinetic term for the torsion is also included…

General Relativity and Quantum Cosmology · Physics 2013-08-13 Zahra Haghani , Tiberiu Harko , Hamid Reza Sepangi , Shahab Shahidi

We study the physical effects of torsion as predicted by the Einstein-Cartan theory in the test particle approximation and the non-relativist limit. We first present the corresponding non-relativistic Hamiltonian for a 2-spinor. Then, we…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Bruno Arderucio Costa , Yuri Bonder

We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in…

High Energy Physics - Theory · Physics 2021-08-17 Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell

The covariant canonical transformation theory applied to the relativistic Hamiltonian theory of classical matter fields in dynamical space-time yields a novel (first order) gauge field theory of gravitation. The emerging field equations…

General Relativity and Quantum Cosmology · Physics 2023-11-29 David Vasak , Johannes Kirsch , Dirk Kehm , Juergen Struckmeier

The simplest gauge gravitation theory in Riemann-Cartan space-time leading to the solution of the problem of cosmological singularity and dark energy problem is investigated with purpose to solve the dark matter problem. It is shown that…

General Relativity and Quantum Cosmology · Physics 2017-05-09 A. V. Minkevich

It is shown that cosmological equations for homogeneous isotropic models deduced in the framework of the Poincar\'e gauge theory of gravity by certain restrictions on indefinite parameters of gravitational Lagrangian take at asymptotics the…

General Relativity and Quantum Cosmology · Physics 2009-09-29 A. V. Minkevich

A simple gravitational model with torsion is studied, and it is suggested that it could explain the dark matter and dark energy in the universe. It can be reinterpreted as a model using the Einstein gravitational equations where spacetime…

General Relativity and Quantum Cosmology · Physics 2022-03-28 Graeme W. Milton

In this work, we investigate cosmologies where the gravitational constant varies in time, with the aim of explaining the accelerated expansion without a cosmological constant. We achieve this by considering a phenomenological extension to…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-18 Ekim Taylan Hanımeli , Brahim Lamine , Alain Blanchard , Isaac Tutusaus

We briefly discuss new models of an `affine' theory of gravity in multidimensional space-times with symmetric connections. We use and generalize Einstein's proposal to specify the space-time geometry by use of the Hamilton principle to…

General Relativity and Quantum Cosmology · Physics 2017-08-23 A. T. Filippov