Journal ArticleDOI
Some Cosmological Models with Spin and Torsion, I
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TLDR
In this paper, the axis of symmetry is at the same time the direction of the magnetic field, and of the aligned spins in axially symmetric cosmological models of the Einstein-Cartan theory.Abstract:
In axially-symmetric cosmological models of the Einstein-Cartan theory (which may be briefly called ‘general relativity plus spin’), the axis of symmetry is at the same time the direction of the magnetic field, and of the aligned spins. The general set of relevant equations is given. Some exact solutions of this set constitute quasi-Euclidean and semiclosed cosmologies with a uniform magnetic field and aligned spinning matter. In contrast to the situation in the framework of general relativity, one may obtain non-singular solutions. Such a behaviour of the solutions of the Einstein-Cartan theory is rendered possible by the specific spin-spin repulsive interaction which is inherent in the theory.read more
Citations
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Nonsingular, big-bounce cosmology from spinor-torsion coupling
TL;DR: The spin-spin interaction between the torsion tensor and Dirac spinors generates a spin spin interaction which is significant in fermionic matter at extremely high densities.
Journal ArticleDOI
Poincaré gauge theory of gravity: Friedman cosmology with even and odd parity modes: Analytic part
TL;DR: In this paper, Chen et al. proposed a cosmological model in the framework of the Poincar\'e gauge theory of gravity (PG), where the Lagrangian is quadratic in both curvature and torsion.
Journal ArticleDOI
Matter-antimatter asymmetry and dark matter from torsion
TL;DR: In this paper, a simple scenario was proposed to explain the observed matter-antimatter imbalance and the origin of dark matter in the universe, using the Einstein-Cartan-Sciama-Kibble theory of gravity which naturally extends general relativity to include the intrinsic spin of matter.
Journal ArticleDOI
Neutrino coupling to cosmological background: A review on gravitational Baryo/Leptogenesis
TL;DR: In this article, the authors review the theories of origin of matter-antimatter asymmetry in the universe and discuss scenarios where a background scalar or gravitational field spontaneously breaks the CPT symmetry and splits the energy levels between particles and anti-particles.
Journal ArticleDOI
Friedmann-like cosmological models without singularity
TL;DR: In this paper, it is shown how this mechanism works in the case when the standard Einstein-Cartan equations are valid at a microphysical level, and some spin-spin terms remain from the averaging procedure for randomly distributed spins.
References
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Book
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TL;DR: In this paper, the authors discuss the General Theory of Relativity in the large and discuss the significance of space-time curvature and the global properties of a number of exact solutions of Einstein's field equations.
Journal ArticleDOI
The Singularities of gravitational collapse and cosmology
Stephen W. Hawking,Roger Penrose +1 more
TL;DR: In this article, a new theorem on space-time singularities is presented which largely incorporates and generalizes the previously known results and applies if the universe is spatially closed or there is an object undergoing relativistic gravitational collapse (existence of a trapped surface).
Journal ArticleDOI
Lorentz Invariance and the Gravitational Field
TL;DR: In this article, Utiyama's discussion is extended by considering the 10-parameter group of inhomogeneous Lorentz transformations, involving variation of the coordinates as well as the field variables.