Discrete modes in gravitational waves from the big-bang

2016

Universe

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Abstract:In the recently introduced Relativistic Quantum Geometry (RQG) formalism, the possibility was explored that the variation of the tensor metric can be done in a Weylian integrable manifold using a geometric displacement, from a Riemannian to a Weylian integrable manifold, described by the dynamics of an auxiliary geometrical scalar field θ, in order that the Einstein tensor (and the Einstein equations) can be represented on a Weyl-like manifold. In this framework we study jointly the dynamics of electromagnetic fields produced by quantum complex vector fields, which describes charges without charges. We demonstrate that complex fields act as a source of tetra-vector fields which describe an extended Maxwell dynamics.

Section: Final Remarksmentioning

confidence: 99%

“…An important fact is that the Einstein tensor complies with the gauge-invariant transformations studied in a previous work [12]. This method is very useful because can be used to describe, for instance, nonperturbative back-reaction effects during inflation [13].…”

Section: Introductionmentioning

confidence: 99%

Charged and Electromagnetic Fields from Relativistic Quantum Geometry

Arcodía

2016

Universe

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“…In [3], we have studied the contribution of the new terms which are not present in a Riemannian geometry. The boundary term was studied in [2], but emphasizing the role of non-metricity. Now, we shall consider some gravitational action in an extended geometry (i.e.…”

Section: Variational Principle In Torsional Geometrymentioning

confidence: 99%

“…The general solution for the modes in (51) can be written in terms of the first and second kind Hankel functions H (1,2) …”

Section: Gr In a De Sitter Inflationmentioning

confidence: 99%

“…However, this is not the only manner to study this problem. As was recently demonstrated in [2], it is possible to include the flux around an hypersurface that encloses a physical source without the inclusion of extra terms in the HE action. In that paper was demonstrated that the non-zero flux of the vector metric fluctuations through the closed 3D Gaussian-like hypersurface, is responsible for the gauge-invariance of gravitational waves (GW).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Gravitational waves and magnetic monopoles during inflation with Weitzenböck torsion

Romero

Physics of the Dark Universe

Aguilar

2016

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a b s t r a c tWe study the variational principle on a Hilbert-Einstein action in an extended geometry with torsion taking into account non-trivial boundary conditions. We obtain an effective energy-momentum tensor that has its source in the torsion, which represents the matter geometrically induced. We explore about the existence of magnetic monopoles and gravitational waves in this torsional geometry. We conclude that the boundary terms can be identified as possible sources for the cosmological constant and torsion as the source of magnetic monopoles. We examine an example in which gravitational waves are produced during a de Sitter inflationary expansion of the universe.

Inflationary back-reaction effects from Relativistic Quantum Geometry

Physics of the Dark Universe

2016

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We study the dynamics of scalar metric fluctuations in a non-perturbative variational formalism recently introduced, by which the dynamics of an geometrical scalar field θ, describes the quantum geometrical effects on a Weylian-like manifold with respect to a background Riemannian spacetime. In this letter we have examined an example in the framework of inflationary cosmology. The resulting spectral predictions are in very good agreement with observations and other models of inflation.