Einstein-Cartan Cosmologies

Abstract

Cosmologies based on General Relativity encompassing an anti-symmetric connection (torsion) can display nice desirable features as the absence of the initial singularity and the possibility of inflation in the early stage of the universe. After briefly reviewing the standard approach to the cosmology with torsion, we generalize it to demonstrate that several theories of torsion gravity are possible using different choices of the diffeomorphic invariants in the Lagrangians. As a result, distinct cosmologies emerge. In all of them it is possible that the universe avoids the initial singularity and passes through an initial accelerated expansion. Differences between these theories are highlighted.

41 pages, 21 figures

References in corpus (6)

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Cited by in corpus (28)

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• Analytical results for binary dynamics at the first post-Newtonian order in Einstein-Cartan theory with the Weyssenhoff fluid
• First post-Newtonian $N$-body problem in Einstein-Cartan theory with the Weyssenhoff fluid: equations of motion
• The dark side of the torsion: Dark Energy from propagating torsion
• Acceleration in Friedmann cosmology with torsion
• Analysis of big bounce in Einstein--Cartan cosmology
• Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity
• On the Mathematics of Coframe Formalism and Einstein-Cartan Theory -- A Brief Review
• Dark matter from torsion in Friedmann cosmology
• Torsion driving cosmic expansion
• Cosmological Distances And Hubble Tension In Einstein-Cartan Theory
• Gravitational Collapse without Singularity Formation in Brans-Dicke Theory
• Effect of Torsion on Neutron Star Structure in Einstein-Cartan Gravity
• Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm
• Revisiting Friedmann-like cosmology with torsion: newest constraints from high-redshift observations
• Gravitational Slip parameter and Gravitational Waves in Einstein-Cartan theory
• Friedmann cosmology with hyperfluids
• Consistent solution of Einstein-Cartan equations with torsion outside matter
• The Role of Torsion in Trans-Planckian Physics
• Perfect fluid with shear viscosity and spacetime evolution
• Mimetic Tensor-Vector-Scalar Cosmology: Incorporating Dark Matter, Dark Energy and Stiff Matter
• Dark Matter and Torsion
• Non-singular non-flat universes
• First-post-Newtonian generation of gravitational waves in Einstein-Cartan theory
• Kinematic reconstruction of torsion as dark energy in Friedmann cosmology
• Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature
• Holographic dark energy in Einstein-Cartan spin cosmology