Quantum Cosmology of Quadratic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> Theories with a FRW Metric

Vázquez-Báez, V.; Ramı́rez, C.

doi:10.1155/2017/1056514

Cited by 7 publications

(4 citation statements)

References 21 publications

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“…The quantization of these models, along the lines of Refs. [43,50] and its comparison with the pure bosonic case [48,51,52], will be the topic of upcoming work. Among other interesting aspects to be investigated, is deriving the modified Friedmann equation, reflecting the effect of fermions by means of a semi-classical approach [53].…”

Section: Discussionmentioning

confidence: 99%

1D Supergravity FLRW Model of Starobinsky

2021

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We study two homogeneous supersymmetric extensions for the f(R) modified gravity model of Starobinsky with the FLRW metric. The actions are defined in terms of a superfield R that contains the FLRW scalar curvature. One model has N = 1 local supersymmetry, and its bosonic sector is the Starobinsky action; the other action has N = 2, its bosonic sector contains, in additional to Starobinsky, a massive scalar field without self-interaction. As expected, the bosonic sectors of these models are consistent with cosmic inflation, as we show by solving numerically the classical dynamics. Inflation is driven by the R2 term during the large curvature regime. In the N = 2 case, the additional scalar field remains in a low energy state during inflation. Further, by means of an additional superfield, we write equivalent tensor-scalar-like actions from which we can give the Hamiltonian formulation.

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Section: Discussionmentioning

confidence: 99%

1D Supergravity FLRW Model of Starobinsky

2021

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“…In an upcoming work, we will describe the supersymmetric quantum cosmology following from these models, along the lines of references [28,36], and its comparison with the pure bosonic case [39][40][41]. Other interesting aspects to be investigated in future work include the effect of fermions on the classical dynamics, which can be done using a semiclassical approach [42].…”

Section: Discussionmentioning

confidence: 99%

1D Supergravity FLRW Model of Starobinsky

Martínez-Pérez¹,

Ramı́rez²,

Vázquez-Báez³

2021

Preprint

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An extension with local supersymmetry invariance is worked out for the FRW model of Starobinsky. We define an effective curvature superfield R, such that the action depends on R and its supersymmetric covariant derivatives. The bosonic part of the component lagrangian contains R + α 6 R 2 , as well as a massive scalar field. The classical dynamics is solved numerically; it exhibits inflation driven by R 2 , while the scalar field remains in a low energy state. In order to implement the ordinary canonical formulation, we write a classically equivalent action that is not higher-derivative.

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“…However, when there exists a minisuperspace description the infinite degrees of freedom reduce to a finite number and the WdW equation is represented as a single equation for all the points of the spatial hypersurface. The WdW has been investigated for various modified f -theories of gravity [40][41][42][43][44] but not for a teleparallel f -theory before. Recently, in the de Broglie-Bohm representation of quantum mechanics it was found that in the semiclassical limit of the WdW equation for the Szekeres universe the field equations are modified by a quantum potential such that the Szekeres universe does not remain silent in the early universe [45].…”

Section: Introductionmentioning

confidence: 99%

Minisuperspace Quantization of f(T, B) Cosmology

Paliathanasis

2021

Universe

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We discuss the quantization in the minisuperspace for the generalized fourth-order teleparallel cosmological theory known as fT,B. Specifically we focus on the case where the theory is linear on the torsion scalar, in that consideration we are able to write the cosmological field equations with the use of a scalar field different from the scalar tensor theories, but with the same dynamical constraints as that of scalar tensor theories. We use the minisuperspace description to write for the first time the Wheeler-DeWitt equation. With the use of the theory of similarity transformations we are able to find exact solutions for the Wheeler-DeWitt equations as also to investigate the classical and semiclassical limit in the de Broglie -Bohm representation of quantum mechanics.

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Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric

Cited by 7 publications

References 21 publications

1D Supergravity FLRW Model of Starobinsky

1D Supergravity FLRW Model of Starobinsky

1D Supergravity FLRW Model of Starobinsky

Minisuperspace Quantization of f(T, B) Cosmology

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