Spatially homogeneous and isotropic spaces in theories of gravitation with torsion

Goenner, Hubert; Müller‐Hoissen, Folkert

doi:10.1088/0264-9381/1/6/010

Cited by 87 publications

(95 citation statements)

References 33 publications

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“…The field equations of the Einstein-Cartan theory are obtained from the action functional [4,8,9,11,20] …”

Section: Field Equations In Einstein-cartan Theorymentioning

confidence: 99%

The Einstein static universe with torsion and the sign problem of the cosmological constant

Böhmer¹

2004

Class. Quantum Grav.

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In the field equations of Einstein-Cartan theory with cosmological constant a static spherically symmetric perfect fluid with spin density satisfying the Weyssenhoff restriction is considered. This serves as a rough model of space filled with (fermionic) dark matter. From this the Einstein static universe with constant torsion is constructed, generalising the Einstein Cosmos to Einstein-Cartan theory.The interplay between torsion and the cosmological constant is discussed. A possible way out of the cosmological constant's sign problem is suggested.

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“…The field equations of the Einstein-Cartan theory are obtained from the action functional [4,8,9,11,20] …”

Section: Field Equations In Einstein-cartan Theorymentioning

confidence: 99%

The Einstein static universe with torsion and the sign problem of the cosmological constant

Böhmer¹

2004

Class. Quantum Grav.

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“…[3], but the torsion was imagined as playing role only at high densities in the early universe. Goenner et al made a general survey of the torsion cosmology [4], in which the equations for all the PGT (Poincaré Gauge Theory of gravity) cases were discussed although they only solved in detail a few particular cases. Recently some authors have begun to study torsion as a possible reason of the accelerating universe [5].…”

Section: Introductionmentioning

confidence: 99%

Torsion cosmological dynamics

Sun²,

Xi³

2009

Phys. Rev. D

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In this paper, the dynamical attractor and heteroclinic orbit have been employed to make the late-time behaviors of the model insensitive to the initial condition and thus alleviate the fine-tuning problem in the torsion cosmology. The late-time de Sitter attractor indicates that torsion cosmology is an elegant scheme and the scalar torsion mode is an interesting geometric quantity for physics. The numerical solutions obtained by Nester et al. are not periodic solutions, but are quasi-periodic solutions near the focus for the coupled nonlinear equations.

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“…Here we have used the definitions and notations of reference [13] (see also [14]). In addition to the above equations, one should also specify a suitable form of the equation of state p = ωρ.…”

Section: Cosmology Of Poincaré Gauge Theory Of Gravitymentioning

confidence: 99%

Inflation by spin and torsion in the Poincaré gauge theory of gravity

Akhshabi

Qorani

Khajenabi

2017

EPL

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In Poincaré gauge theory of gravity, in addition to mass-energy content, spin is also a source for gravitational interactions. Although the effects of spin are negligible at low energies, they can play a crucial role at very early universe when the spin density was very high. In this paper by choosing a suitable Lagrangian for Poincaré gauge theory of gravity, and suitable energy-momentum and spin density tensors, we show that the effects of spin and torsion can lead to a inflationary phase without the need for any additional fields. No fine tuning of parameters is required in this setup. We also calculate the scalar spectral index at the end of inflation and show that it agrees with the most recent observational data.

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Spatially homogeneous and isotropic spaces in theories of gravitation with torsion

Cited by 87 publications

References 33 publications

The Einstein static universe with torsion and the sign problem of the cosmological constant

The Einstein static universe with torsion and the sign problem of the cosmological constant

Torsion cosmological dynamics

Inflation by spin and torsion in the Poincaré gauge theory of gravity

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