Inhomogeneous spacetimes in Weyl integrable geometry with matter source

Paliathanasis, Andronikos; León, Genly; Barrow, John D.

doi:10.1140/epjc/s10052-020-8277-z

Cited by 8 publications

(4 citation statements)

References 61 publications

(82 reference statements)

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“…From the above results, it is clear that while there are similarities of this model with the dilaton model of scalar tensor theory [59], the two theories are different in the general evolution of the cosmological history. In the same conclusion, we end by comparing the results of this work with those of previous studies on the Weyl integrable theory, where the interaction of the scalar field with the dust fluid is introduced in the gravitational action integral [60]. Consequently, the present model of study has interesting properties which can explain the cosmic history and deserves further study.…”

Section: Discussionsupporting

confidence: 62%

Dynamics in Interacting Scalar-Torsion Cosmology

Paliathanasis

2021

Universe

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In a spatially flat Friedmann–Lemaître–Robertson–Walker background space, we consider a scalar-torsion gravitational model which has similar properties to the dilaton theory. This teleparallel model is invariant under a discrete transformation similar to the Gasperini–Veneziano duality transformation. Moreover, in the gravitational action integral, we introduce the Lagrangian function of a pressureless fluid source which is coupled to the teleparallel dilaton field. This specific gravitational theory with interaction in the dark sector of the universe was investigated by using methods of the dynamical system analysis. We calculate that the theory provides various areas of special interest for the evolution of the cosmological history. Inflationary scaling solutions and the de Sitter universe are recovered. Furthermore, we calculate that there exist an attractor which provides a stable solution where the two fluid components, the scalar field and the pressureless matter, contribute in the cosmological fluid. This solution is of special interest because it can describe the present epoch. Finally, the qualitative evolution of the cosmographic parameters is discussed.

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Section: Discussionsupporting

confidence: 62%

Dynamics in Interacting Scalar-Torsion Cosmology

Paliathanasis

2021

Universe

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“…There are various extensions and generalizations of the Szekeres universes in the literature; for example, the Szekeres spacetime with homogeneous fluid source with constant equation of state parameter for the fluid proposed by Szafron in [6] leads to the Szekeres-Szafron spacetimes. The introduction of the cosmological constant term in the Szekeres model was studied in [7], while some other extensions can be found in [1, [8][9][10][11][12][13]. In the general case, the metric tensor depends on two scale factors and it has the property that the magnetic part of the Weyl tensor vanishes.…”

Section: Introductionmentioning

confidence: 99%

Quantization of inhomogeneous spacetimes with cosmological constant term

Zampeli,

Paliathanasis

2020

Preprint

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We show that the Szekeres system with cosmological constant admits a sufficient number of conservation laws, which allow to claim the integrability of the system. The main novelty in this investigation is that we find that the unique attractor of the Szekeres system is the isotropic inhomogeneous de Sitter (-like) universe, contrary to the original system in which the attractors describe Kantowski-Sachs (-like) spacetimes. We also study the existence of quantum corrections and the emergence of classicality by considering the linear and quadratic conserved quantities at the quantum level. We perform an analysis considering different approaches, involving the Bohmian quantum potential and a probability analysis. The result is that there are no quantum corrections for the quadratic integrals, while there exists a linear case for which we find quantum corrections.

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“…Given the large interest in this symmetry e.g. [12,13,[41][42][43][44][45] (possibly because its underlying geometry is metric, unlike for the SMW), here we study this special case. We are interested in its exact relation to the SM embedded in quadratic gravity with gauged Weyl symmetry (SMW) [22].…”

Section: Introductionmentioning

confidence: 99%

Standard Model in conformal geometry: local vs gauged scale invariance

Ghilencea¹,

Hill²

2023

Preprint

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We discuss comparatively local versus gauged Weyl symmetry beyond Standard Model (SM) and Einstein gravity and their geometric interpretation. The SM and Einstein gravity admit a natural embedding in Weyl integrable geometry which is a special limit of Weyl conformal (non-metric) geometry. The theory has a local Weyl scale symmetry but no associated gauge boson. Unlike previous models with such symmetry, this embedding is truly minimal i.e. with no additional fields beyond SM and underlying geometry. This theory is compared to a similar minimal embedding of SM and Einstein gravity in Weyl conformal geometry (SMW) which has a full gauged scale invariance, with an associated Weyl gauge boson. At large field values, both theories give realistic, Starobinsky-Higgs like inflation. The broken phase of the current model is the decoupling limit of the massive Weyl gauge boson of the broken phase of SMW, while the local scale symmetry of the current model is part of the larger gauged scale symmetry of SMW. Hence, the current theory has a gauge embedding in SMW. Unlike in the SMW, we note that in models with local scale symmetry the associated current is trivial, which is a concern for the physical meaning of this symmetry. Therefore, the SMW is a more fundamental UV completion of SM in a full gauge theory of scale invariance that generates Einstein gravity in the (spontaneously) broken phase, as an effective theory.

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Inhomogeneous spacetimes in Weyl integrable geometry with matter source

Cited by 8 publications

References 61 publications

Dynamics in Interacting Scalar-Torsion Cosmology

Dynamics in Interacting Scalar-Torsion Cosmology

Quantization of inhomogeneous spacetimes with cosmological constant term

Standard Model in conformal geometry: local vs gauged scale invariance

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