Extended Reissner–Nordström solutions sourced by dynamical torsion

Cembranos, J. A. R.; Valcárcel, Jorge Gigante

doi:10.1016/j.physletb.2018.01.081

Cited by 34 publications

(37 citation statements)

References 44 publications

(48 reference statements)

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“…In this section we will calculate the acceleration and trajectories of electrons in a Reissner-Nordström solution obtained by two of the authors in the framework of PG field theory of gravity, with the following vacuum action [24,25]:…”

Section: Calculations Within the Reissner-nordström Geometry Induced mentioning

confidence: 99%

Fermion dynamics in torsion theories

Cembranos

Valcárcel

Torralba

2019

J. Cosmol. Astropart. Phys.

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In this work we have studied the non-geodesical behaviour of particles with spin 1/2 in Poincaré gauge theories of gravity, via the WKB method and the Mathisson-Papapetrou equation. We have analysed the relation between the two approaches and we have argued the different advantages associated with the WKB approximation. Within this approach, we have calculated the trajectories in a particular Poincaré gauge theory, discussing the viability of measuring such a motion.

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Section: Calculations Within the Reissner-nordström Geometry Induced mentioning

confidence: 99%

Fermion dynamics in torsion theories

Cembranos

Valcárcel

Torralba

2019

J. Cosmol. Astropart. Phys.

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“…This is a natural extension of GR, which is able to successfully incorporate the intrinsic spin of fermions as a source of gravity, while passing all weak-field limit tests. Moreover, the theory has no free parameters but rather a single new scale given by Cartan's density, which yields many relevant applications in cosmology and astrophysics [15][16][17][18][19][20][21][22][23]. It is worth noting that ECSK is the simplest of all Poincaré gauge theories of gravity (PGTG).…”

Section: Introductionmentioning

confidence: 99%

Fundamental Symmetries and Spacetime Geometries in Gauge Theories of Gravity—Prospects for Unified Field Theories

Cabral

Rubiera-García

2020

Universe

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Gravity can be formulated as a gauge theory by combining symmetry principles and geometrical methods in a consistent mathematical framework. The gauge approach to gravity leads directly to non-Euclidean, post-Riemannian spacetime geometries, providing the adequate formalism for metric-affine theories of gravity with curvature, torsion and non-metricity. In this paper, we analyze the structure of gauge theories of gravity and consider the relation between fundamental geometrical objects and symmetry principles as well as different spacetime paradigms. Special attention is given to Poincaré gauge theories of gravity, their field equations and Noether conserved currents, which are the sources of gravity. We then discuss several topics of the gauge approach to gravitational phenomena, namely, quadratic Poincaré gauge models, the Einstein-Cartan-Sciama-Kibble theory, the teleparallel equivalent of general relativity, quadratic metric-affine Lagrangians, non-Lorentzian connections, and the breaking of Lorentz invariance in the presence of non-metricity. We also highlight the probing of post-Riemannian geometries with test matter. Finally, we briefly discuss some perspectives regarding the role of both geometrical methods and symmetry principles towards unified field theories and a new spacetime paradigm, motivated from the gauge approach to gravity.

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“…Thereby, within this model, the axial component of the torsion tensor acts as a Coulomb-like potential depending on

, in such a way that the conventional approach of GR is completely recovered when it vanishes. Furthermore, this type of configuration can also be extended to the case where the mentioned mode is considered massive [ 11 ]:

…”

Section: Reissner–nordström Sourced By Torsionmentioning

confidence: 99%