Conformal invariant cosmological perturbations via the covariant approach

Li, Mingzhe; Mou, Yicen

doi:10.1088/1475-7516/2015/10/037

Cited by 6 publications

(4 citation statements)

References 49 publications

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“…Since the adiabatic perturbations are invariant under conformal transformation [66][67][68][69][70][71][72][73][74], the relationships between observable n s and r in different frames are easily established although the physical equivalence between Einstein and Jordan frames is unclear [75][76][77][78][79]. To reconstruct the potential V J [ψ(φ )] in the Jordan frame, we need to have the relation between the potentials in different frames.…”

Section: The Reconstruction Methodsmentioning

confidence: 99%

Reconstruction of extended inflationary potentials for attractors

Gao

Gong

2018

Eur. Phys. J. Plus

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We give the procedure to reconstruct the extended inflationary potentials for attractors and use the α attractor and the constant-roll model as examples to show how to reconstruct the class of extended inflationary potentials in the strong coupling limit. We also derive the strong coupling condition which the coupling constant ξ satisfies. The class of extended inflationary potentials has the same attractor, and the reconstructed extended inflationary potentials are consistent with the observational constraints. The existence of the attractors from extended inflationary models further challenges the model discrimination just by the observables n s and r.

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Section: The Reconstruction Methodsmentioning

confidence: 99%

Reconstruction of extended inflationary potentials for attractors

Gao

Gong

2018

Eur. Phys. J. Plus

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“…Thus though this result is actually a reflection that the perturbations are conformal invariant fully nonperturbatively, 1 e.g. [26,27], it may offer us a different angle of view to the inflation scenario itself and also the primordial universe.…”

Section: Jhep03(2016)134mentioning

confidence: 96%

The slow expansion with nonminimal derivative coupling and its conformal dual

Cai

Piao

2016

J. High Energ. Phys.

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We show that the primordial gravitational wave with scale-invariant spectrum might emerge from a nearly Minkowski space, in which the gravity is asymptotic-past free. We illustrate it with a model, in which the derivative of background scalar field nonminimally couples to gravity. We also show that since here the tensor perturbation is dominated by its growing mode, mathematically our slowly expanding background is conformally dual to the matter contraction, but there is no the anisotropy problem.

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“…In this spirit, primordial fluctuations in various scalar-tensor theories have been discussed in refs. [24][25][26][27][28][29][30][31][32][33], where it has been observed that a scale invariant spectrum is compatible with slow expansion.…”

Section: Jcap05(2016)041mentioning

confidence: 99%

Primordial cosmic fluctuations for variable gravity

Wetterich

2016

J. Cosmol. Astropart. Phys.

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The observability of primordial cosmic fluctuations does not require a geometric horizon H −1 , which is exceeded temporarily by the wavelength of fluctuations. The primordial information can be protected against later thermal washout even if all relevant wavelengths remain smaller than H −1 . This is demonstrated by formulating the equations governing the cosmic fluctuations in a form that is manifestly invariant under conformal field transformations of the metric. Beyond the field equations this holds for the defining equation for the correlation function, as expressed by the inverse of the second functional derivative of the quantum effective action. An observable almost scale invariant spectrum does not need an expanding geometry. For a variable Planck mass it can even arise in flat Minkowski space.

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Conformal invariant cosmological perturbations via the covariant approach

Cited by 6 publications

References 49 publications

Reconstruction of extended inflationary potentials for attractors

Reconstruction of extended inflationary potentials for attractors

The slow expansion with nonminimal derivative coupling and its conformal dual

Primordial cosmic fluctuations for variable gravity

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