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We derive linear scalar perturbation equations for Einstein-Cartan field equations of Weyssenhoff fluid, as well as for the corresponding perturbations of Bianchi identity and geodesic equations. The equations are given in both conformal…

综合物理 · 物理学 2022-04-22 Davor Palle

We analyse the kinematics of cosmological spacetimes with nonzero torsion, in the framework of the classical Einstein-Cartan gravity. After a brief introduction to the basic features of spaces with non-vanishing torsion, we consider a…

广义相对论与量子宇宙学 · 物理学 2017-05-17 Klaountia Pasmatsiou , Christos G. Tsagas , John D. Barrow

In this work we investigate the effects of torsion in the framework of Einstein-Cartan theory in early cosmology. We study solutions for a homogeneous and isotropic relativistic Weyssenhoff spin fluid with dynamical timelike axial current,…

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

We generalize the Tolman-Oppenheimer-Volkoff equations for space-times endowed with a Weyssenhoff like torsion field in the Einstein-Cartan theory. The new set of structure equations clearly show how the presence of torsion affects the…

广义相对论与量子宇宙学 · 物理学 2019-10-18 Paulo Luz , Sante Carloni

The classical world structures borne by spacetimes endowed with torsionful affinities are reviewed. Subsequently, the definition and symmetry properties of a typical pair of Witten curvature spinors for such spacetimes are exhibited along…

广义相对论与量子宇宙学 · 物理学 2025-11-21 J. G. Cardoso

We consider a Weyssenhoff fluid assuming that the spacetime is homogeneous and isotropic, therefore being relevant for cosmological considerations of gravity theories with torsion. In this paper, it is explicitely shown that the Weyssenhoff…

广义相对论与量子宇宙学 · 物理学 2010-05-21 Christian G. Boehmer , Piotr Bronowski

The properties of some locally rotationally symmetric (LRS) perfect fluid space-times are examined in order to demonstrate the usage of the description of geometries in terms of the Riemann tensor and a finite number of its covariant…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Mattias Marklund

The role of space-time torsion in general relativity is reviewed in accordance with some recent results on the subject. It is shown that, according to the connection compatibility condition, the usual Riemannian volume element is not…

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

The quantum spin effects inside matter can be modeled via the Weyssenhoff fluid, which permits to unearth a formal analogy between general relativity and Einstein-Cartan theory at the first post-Newtonian order. In this framework, we…

广义相对论与量子宇宙学 · 物理学 2023-09-20 Vittorio De Falco , Emmanuele Battista

The Einstein-Cartan-Kibble-Sciama ({\sf ECKS}) theory of gravity naturally extends Einstein\rq{}s general relativity ({\sf GR}) to include intrinsic angular momentum (spin) of matter. The main feature of this theory consists of an algebraic…

广义相对论与量子宇宙学 · 物理学 2018-06-04 Hamid Shabani , Amir Hadi Ziaie

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

We consider the gravitational collapse of a spherically symmetric homogeneous matter distribution consisting of a Weyssenhoff fluid in the presence of a negative cosmological constant. Our aim is to investigate the effects of torsion and…

广义相对论与量子宇宙学 · 物理学 2017-04-19 Amir Hadi Ziaie , Paulo Vargas Moniz , Arash Ranjbar , Hamid Reza Sepangi

It was shown by Jacobson in 1995 that the Einstein equation can be derived as a local constitutive equation for an equilibrium spacetime thermodynamics. With the aim to understand if such thermodynamical description is an intrinsic property…

广义相对论与量子宇宙学 · 物理学 2017-12-27 Ramit Dey , Stefano Liberati , Daniele Pranzetti

In the framework of Einstein-Yang-Mills theories, we study the gauge Lorentz group and establish a particular correspondence between this case and a certain class of theories with torsion within Riemann-Cartan space-times. This relation is…

广义相对论与量子宇宙学 · 物理学 2018-03-07 Jose A. R. Cembranos , Jorge Gigante Valcarcel

The Einstein-Cartan-Saa theory of torsion modifies the spacetime volume element so that it is compatible with the connection. The condition of connection compatibility gives constraints on torsion, which are also necessary for the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Nikodem J. Poplawski

We derive upper and lower limits for the mass-radius ratio of spin-fluid spheres in Einstein-Cartan theory, with matter satisfying a linear barotropic equation of state, and in the presence of a cosmological constant. Adopting a spherically…

广义相对论与量子宇宙学 · 物理学 2018-06-25 Christian G. Boehmer , Piyabut Burikham , Tiberiu Harko , Matthew J. Lake

In a recent series of papers new exact analytical solutions of Einstein equations representing interior spacetimes sourced by stationary rigidly rotating cylinders of fluids have been displayed. We have first considered a fluid with an…

广义相对论与量子宇宙学 · 物理学 2024-07-08 M. -N. Célérier

Recently, in a series of papers, we established the existence and found a general solution for the simultaneously rotating and twisting locally rotationally symmetric spacetimes in general relativity, which can model inhomogeneous and…

广义相对论与量子宇宙学 · 物理学 2017-09-25 Sayuri Singh , Amare Abebe , Rituparno Goswami , Sunil D. Maharaj

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

We study scalar field and electromagnetic perturbations on Locally Rotationally Symmetric (LRS) class II spacetimes, exploiting a recently developed covariant and gauge-invariant perturbation formalism. From the Klein-Gordon equation and…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Gerold Betschart , Chris A. Clarkson
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