Gravito-magnetic currents in the inflationary universe from WIMT

Physics of the Dark Universe

Aguilar

2016

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We study the variational principle over an Hilbert-Einstein like action for an extended geometry taking into account torsion and non-metricity. By extending the semi-Riemannian geometry, we obtain an effective energy-momentum tensor which can be interpreted as physical sources. As an application we develop a new manner to obtain the gravitational wave equations on a Weylintegrable manifold taking into account the non-metricity and non-trivial boundary conditions on the minimization of the action, which can be identified as possible sources for the cosmological constant and provides two different equations for gravitational waves. We examine gravitational waves in a pre-inflationary cosmological model.

Section: The Torsionless Casementioning

confidence: 94%

Gravitational waves from a Weyl-Integrable manifold: A new formalism

Physics of the Dark Universe

Aguilar

2016

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“…, we obtain that both actions describe the same physical system [19]. In our case, when we use the Lorentz gauge, we deal with a 5D vacuum, so that R = 0.…”

Section: Weitzenböck Representation Of Space and Gravito-electrommentioning

confidence: 97%

Quantized gravito-magnetic charges from WIMT: cosmological consequences

2015

Can. J. Phys.

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Using the formalism of Weitzenböck induced matter theory (WIMT) we calculate the gravitomagnetic charge on a topological string which is induced through a foliation on a five-dimensional (5D) gravito-electromagnetic vacuum defined on a 5D Ricci-flat metric, which produces a symmetry breaking on an axis. We obtain the resonant result that the quantized charges are induced on the effective four-dimensional hypersurface. This quantization describes the behavior of a test gravitoelectric charge in the vicinity of a point gravito-magnetic monopole, both geometrically induced from a 5D vacuum. We demonstrate how gravito-magnetic monopoles would decrease exponentially during the inflationary expansion of the universe.

“…In fact, Eq. (25) is not strange and is due to the selection of the Weitzenböck connection and particularly to the geometrical properties to 10 For a most extensive treatment the reader could see the notes of Andrew Hamilton (developed in 4D) [26]. extend a derivative operator linked to a trivial null connection in the upper case index, to a nontrivial connection in the lower case index basis.…”

Section: D Gullstränd-painlevé (Gp) Metricmentioning

confidence: 99%

“…This object can be thought of as a black hole. The second one has been worked out using WIMT in the framework of the gravito-magnetic formalism in a variety of cosmological scenarios [9,10], with the result that currents of gravito-magnetic monopoles are strongly linked to the Weitzenböck torsion. With the support of these results, it is generally expected that the density of gravito-magnetic monopoles and charges decay in an accelerated universe due to the strong increasing of the scale factor.…”

Section: Introductionmentioning

confidence: 99%

WIMT in Gullstränd–Painlevé and Reissner–Nordström metrics: induced stable gravito-magnetic monopoles

2015

Eur. Phys. J. C

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The aim of this work is to apply Weitzeböck Induced Matter Theory (WIMT) to Gullstränd-Painlevé and Reissner-Nordström metrics in the framework of WIMT. This is a newly developed method that extends Induced Matter Theory from a curved 5D manifold using the Weitzeböck's geometry, using the fact that the Riemann-Weitzenböck curvature tensor is always null. We obtain the presence of currents whose interpretation can lead to the presence of stable gravito-magnetic monopoles.