Dark matter candidates, helicity effects and new affine gravity with torsion

Alvarez-Castillo, David; Cirilo-Lombardo, Diego Julio; Saa, J. A. Zamora

doi:10.1016/j.jheap.2017.02.001

Cited by 13 publications

(6 citation statements)

References 58 publications

(87 reference statements)

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“…In particle physics more in general, high-energy experimental constraints on torsion have been placed, especially in [72][73][74][75][76]. Going to cosmology, dark matter has also been studied in the presence of torsion: after the already-mentioned [45], the reader may find it interesting to also have a look at [77][78][79][80][81]. As for the problem of singularity formation during the Big Bang, the following references may be of help [82][83][84][85][86].…”

Section: Discussionmentioning

confidence: 99%

Fundamental Theory of Torsion Gravity

Fabbri

2021

Universe

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In this work, we present the general differential geometry of a background in which the space–time has both torsion and curvature with internal symmetries being described by gauge fields, and that is equipped to couple spinorial matter fields having spin and energy as well as gauge currents: torsion will turn out to be equivalent to an axial-vector massive Proca field and, because the spinor can be decomposed in its two chiral projections, torsion can be thought as the mediator that keeps spinors in stable configurations; we will justify this claim by studying some limiting situations. We will then proceed with a second chapter, where the material presented in the first chapter will be applied to specific systems in order to solve problems that seems to affect theories without torsion: hence the problem of gravitational singularity formation and positivity of the energy are the most important, and they will also lead the way for a discussion about the Pauli exclusion principle and the concept of macroscopic approximation. In a third and final chapter, we are going to investigate, in the light of torsion dynamics, some of the open problems in the standard models of particles and cosmology which would not be easily solvable otherwise.

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Section: Discussionmentioning

confidence: 99%

Fundamental Theory of Torsion Gravity

Fabbri

2021

Universe

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“…In [25] the cross section for neutrino helicity spin flip obtained from this type of f (R; T ) model of gravitation with dynamic torsion field introduced by us in [16], was phenomenologically analyzed using the relation with the axion decay constant f a (Peccei-Quinn parameter)…”

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confidence: 99%

Non-Riemannian geometry, Born–Infeld models and trace free gravitational equations

Cirilo-Lombardo

2017

Journal of High Energy Astrophysics

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Non-Riemannian generalization of the standard Born-Infeld (BI) Lagrangian is introduced and analized from a theory of gravitation with dynamical torsion field. The field equations derived from the proposed action lead to a trace free gravitational equation (non-riemannian analog to the trace free equation (TFE) from[1][2][3]) and the field equations for the torsion respectively.In this theoretical context, the fundamental constants arise all from the same geometry through geometrical invariant quantities (as from the curvature R). New results involving generation of primordial magnetic fields and the link with leptogenesis and baryogenesis are presented and possible explanations given. The physically admisible matter fields can be introduced in the model via the torsion vector h µ . Such fields include some dark matter candidates such as axion, right neutrinos and Majorana and moreover, physical observables as vorticity can be included in the same way. From a new wormhole soluton in a cosmological spacetime with torsion we also show that the primordial cosmic magnetic fields can originate from h µ with the axion field (that is contained in h µ ) the responsible to control the dynamics and stability of the cosmic magnetic field but not the magnetogenesis itself. The analisys of Grand Unified Theories (GUT) in the context of this model indicates that the group manifold candidates are based in SO(10), SU (5) or some exceptional groups as E(6),E (7), etc. Contents

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“…In previous references, the authors have introduced a unified model based on a non-Riemannian geometry containing a dynamic antisymmetric torsion that admits the same results of GR and SM already proven, but also satisfactorily solves problems that GR and SM present difficulties or inconsistencies. Some of those problems that were satisfactorily treated in the context of this new formulation were the determination of the mass of the axion [12], violation of CP of the neutrino [14], primordial magnetogenesis [10], etc. In this work we calculate the equations controlling the stellar magnetospheres of compact objects in particular, in this new context.…”

Section: Introduction To the Problemmentioning

confidence: 99%

“…[10][11][12] and beyond the standard model (SM). Extending previous approaches, holding for compact objects/black hole axisymmetric geometries having into account effect of space-time curvature, the purpose of this work is the formulation of a generalized Grad-Shafranov (GGS)[2][1][3][4] equation based in a non-…”

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confidence: 99%

Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation

Cirilo-Lombardo

2019

Int. J. Geom. Methods Mod. Phys.

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The magnetosphere structure of a magnetar is considered in the context of a theory of gravity with dynamical torsion field beyond the standard General Relativity (GR). To this end, the axially symmetric version of the Grad-Shafranov equation (GSE) is obtained in this theoretical framework.The resulting GSE solution in the case of the magnetosphere corresponds to a stream function containing also a pseudoscalar part. This function solution under axisymmetry presents a complex character that (as in the quantum field theoretical case) could be associated with an axidilaton field. Magnetar-pulsar mechanism is suggested and the conjecture about the origin of the excess energy due the GSE describing the magnetosphere dynamics is claimed. We also show that two main parameters of the electrodynamic processes (as described in GR framework by Goldreich and Julian (GJ) in 1969 [5]) are modified but the electron-positron pair rate · N remains invariant.The possible application of our generalized equation (defined in a non-Riemannian geometry) to astrophysical scenarios involving emission of energy by gravitational waves, as described in the context of GR in [18], is briefly discussed.

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Dark matter candidates, helicity effects and new affine gravity with torsion

Cited by 13 publications

References 58 publications

Fundamental Theory of Torsion Gravity

Fundamental Theory of Torsion Gravity

Non-Riemannian geometry, Born–Infeld models and trace free gravitational equations

Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation

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