Minisuperspace Quantization of f(T, B) Cosmology

Paliathanasis, Andronikos

doi:10.3390/universe7050150

Cited by 19 publications

(17 citation statements)

References 56 publications

(63 reference statements)

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“…At the same time, it has been revealed that torsion and boundary term affects the thick brane scenario [38]. Paliathanasis [39] obtained the solution of the gravitational equations and investigated the existence of quantum corrections for the gravitational field equations. Hence, we are here motivated to study the late time cosmic acceleration issue in the f (T, B) gravity with some form of the Hubble function.…”

Section: Introductionmentioning

confidence: 99%

Dynamical features of $f(T,B)$ cosmology

Kadam,

Mishra,

Tripathy

2022

Preprint

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In this paper, we have explored the field equations of f (T, B) gravity and determined the dynamical parameters with the hyperbolic function of Hubble parameter. The accelerating behaviour has been observed and the behaviour of equation of state parameter indicates ΛCDM model at late time. The role of model parameters in assessing the accelerating behaviour has been emphasised. Interestingly the term containing β, the coefficient of boundary term, in the model parameter vanishes during the simplification. The scalar perturbation has been presented to show the stability of the model.

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Section: Introductionmentioning

confidence: 99%

Dynamical features of $f(T,B)$ cosmology

Kadam,

Mishra,

Tripathy

2022

Preprint

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“…The presence of nonzero spatial curvature was recently considered in [63]. The minisuperspace quantization in f (T, B) was studied in [64] while an inhomogeneous exact solution was recently found in [65]. The recent work [66] deals with the study of anisotropic solutions in f (T, B).…”

Section: Introductionmentioning

confidence: 99%

Anisotropic spacetimes in $f(T,B)$ theory I: Bianchi I Universe

Paliathanasis¹

2022

Preprint

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That is the first part of a series of studies on analyzing the higher-order teleparallel theory of gravity known as the f (T, B)-theory. This work attempts to understand how the anisotropic spacetimes are involved in the f (T, B)-theory. In this work, we review the previous analysis of f (T, B)-gravity, and we investigate the global dynamics in the case of a locally rotational Bianchi I background geometry. We focus in the case of f (T, B) = T + F (B) theory and we determine the criteria where the f (T, B)-theory solves the homogeneity problem. Finally, the integrability properties for the field equations are investigated by applying the Painlevé analysis.The analytic solution is expressed by a right Painlevé expansion.

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“…In the case of a closed Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime with a quintessence scalar field as a matter source, the WDW equation was studied independently by Hartle and Hawking in [10] and Vilenkin in [11]. Since then, similar approaches have been widely applied in the literature for many other cosmological models with a minisuperspace description; see for instance [12][13][14][15][16][17][18][19] and references therein. Nonetheless, the canonical quantization proposal founded in the initial works by DeWitt and Wheeler is not the unique approach towards quantum cosmology, other attempts are based in string theory [20][21][22] and in loop quantum gravity [23,24].…”

Section: Introductionmentioning

confidence: 99%

Quantum Cosmology in $f(Q)$ theory

Dimakis,

Paliathanasis,

Christodoulakis

2021

Preprint

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We use Dirac's method for the quantization of constrained systems in order to quantize a spatially flat Friedmann-Lemaître-Robertson-Walker spacetime in the context of f (Q) cosmology. When the coincident gauge is considered, the resulting minisuperspace system possesses second class constraints. This distinguishes the quantization process from the typical Wheeler-DeWitt quantization, which is applied for cosmological models where only first class constraints are present (e.g. for models in General Relativity or in f (R) gravity).We introduce the Dirac brackets, find appropriate canonical coordinates and then apply the canonical quantization procedure. We perform this method both in vacuum and in the presence of matter: a minimally coupled scalar field and a perfect fluid with a linear equation of state. We demonstrate that the matter content changes significantly the quantization procedure, with the perfect fluid even requiring to put in use the theory of fractional Quantum Mechanics in which the power of the momentum in the Hamiltonian is associated with the fractal dimension of a Lévy flight. The results of this analysis can be applied in f (T ) teleparallel cosmology, since f (Q) and f (T ) theories have the same degrees of freedom and same dynamical constraints in cosmological studies.

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Minisuperspace Quantization of f(T, B) Cosmology

Cited by 19 publications

References 56 publications

Dynamical features of $f(T,B)$ cosmology

Dynamical features of $f(T,B)$ cosmology

Anisotropic spacetimes in $f(T,B)$ theory I: Bianchi I Universe

Quantum Cosmology in $f(Q)$ theory

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