From Brans-Dicke gravity to a geometrical scalar-tensor theory

Almeida, T. S.; Pucheu, M. L.; Romero, C.; Formiga, J. B.

doi:10.1103/physrevd.89.064047

Cited by 69 publications

(120 citation statements)

References 63 publications

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“…Adopting the Palatini procedure, it can be shown that the variation of the action (2) with respect to the affine connection yields [18] …”

Section: The Formalismmentioning

confidence: 99%

“…These may be regarded as scalar-tensor theories in which the scalar field plays a clear geometric role 1 . In the present paper, we shall consider a more recent geometrical approach to scalar-tensor theory [18]. This approach starts by considering the action of Brans-Dicke theory and introduces the space-time geometry from first principles, which is done by applying the Palatini formalism.…”

Section: Introductionmentioning

confidence: 99%

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Gauge invariant fluctuations of the metric during inflation from a new scalar-tensor Weyl-integrable gravity model

et al. 2016

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We investigate gauge invariant scalar fluctuations of the metric during inflation in a nonperturbative formalism in the framework of a recently formulated scalar-tensor theory of gravity, in which the geometry of spacetime is that of a Weyl integrable manifold. We show that in this scenario the Weyl scalar field can play the role of the inflaton field. As an application of the theory, we examine the case of a power law inflation. In this case, the quasi-scale invariance of the spectrum for scalar fluctuations of the metric is achieved for determined values of the parameter ω of the scalar-tensor theory. We stress the fact that in our formalism the physical inflaton field has a purely geometrical origin.

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“…Adopting the Palatini procedure, it can be shown that the variation of the action (2) with respect to the affine connection yields [18] …”

Section: The Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gauge invariant fluctuations of the metric during inflation from a new scalar-tensor Weyl-integrable gravity model

et al. 2016

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“…In view of the above, this leads to the conclusion that the Universe, as modeled by GR, must necessarily have had a beginning starting from a singular state. Let us now consider some different scenarios offered by two alternative gravitational theories, namely, the Novello-Oliveira-SalimElbaz's theory (N) [17,34] and a recent geometrical approach to scalar-tensor theory (GST), both inspired by the idea that space-time can be described by Weyl integrable geometry [35].…”

Section: Theorem 52 Letmentioning

confidence: 99%

“…By applying the Palatini variational method, one obtains the Weyl integral compatibility condition [35],…”

Section: Geometrical Scalar-tensor Theorymentioning

confidence: 99%

Space-time singularities in Weyl manifolds

2015

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“…This is somehow a reminiscence of the quantum effects described by the Rastall equation. Other geometrical frameworks, like Weyl geometry, may lead to equations similar to the ones in Rastall gravity [8,9].…”

Section: Introductionmentioning

confidence: 99%

Abelian–Higgs strings in Rastall gravity

Mello

Fabris

Hartmann

2015

Class. Quantum Grav.

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In this paper we analyze Abelian-Higgs strings in a phenomenological model that takes quantum effects in curved space-time into account. This model, first introduced by Rastall, cannot be derived from an action principle. We formulate phenomenological equations of motion under the guiding principle of minimal possible deformation of the standard equations. We construct string solutions that asymptote to a flat space-time with a deficit angle by solving the set of coupled non-linear ordinary differential equations numerically. Decreasing the Rastall parameter from its Einstein gravity value we find that the deficit angle of the space-time increases and becomes equal to 2π at some critical value of this parameter that depends on the remaining couplings in the model. For smaller values the resulting solutions are supermassive string solutions possessing a singularity at a finite distance from the string core. Assuming the Higgs boson mass to be on the order of the gauge boson mass we find that also in Rastall gravity this happens only when the symmetry breaking scale is on the order of the Planck mass. We also observe that for specific values of the parameters in the model the energy per unit length becomes proportional to the winding number, i.e. the degree of the map S 1 → S 1 . Unlike in the BPS limit in Einstein gravity, this is, however, not connect to an underlying mathematical structure, but rather constitutes a would-be-BPS bound.

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From Brans-Dicke gravity to a geometrical scalar-tensor theory

Cited by 69 publications

References 63 publications

Gauge invariant fluctuations of the metric during inflation from a new scalar-tensor Weyl-integrable gravity model

Gauge invariant fluctuations of the metric during inflation from a new scalar-tensor Weyl-integrable gravity model

Space-time singularities in Weyl manifolds

Abelian–Higgs strings in Rastall gravity

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