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In this paper we study slow-roll inflation with holonomy corrections from loop quantum cosmology. Both tensor and scalar power spectra of primordial perturbations are computed up to the first order in slow-roll parameters and $V/\rho_{c}$,…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Jakub Mielczarek

Loop quantum cosmology (LQC) provides promising resolutions to the trans-Planckian issue and initial singularity arising in the inflationary models of general relativity. In general, due to different quantization approaches, LQC involves…

广义相对论与量子宇宙学 · 物理学 2015-12-10 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng , Qiang Wu

We first derive the primordial power spectra, spectral indices and runnings of both scalar and tensor perturbations of a flat inflationary universe to the second-order approximations of the slow-roll parameters, in the framework of loop…

广义相对论与量子宇宙学 · 物理学 2016-03-25 Tao Zhu , Anzhong Wang , Klaus Kirsten , Gerald Cleaver , Qin Sheng , Qiang Wu

We study the tensor modes of linear metric perturbations within an effective framework of loop quantum cosmology. After a review of inverse-volume and holonomy corrections in the background equations of motion, we solve the linearized…

广义相对论与量子宇宙学 · 物理学 2012-07-24 Gianluca Calcagni , Golam Mortuza Hossain

Loop quantum cosmology provides an efficient framework to study the evolution of the Universe beyond the classical Big Bang paradigm. Because of holonomy corrections, the singularity is replaced by a "bounce". The dynamics of the background…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Jakub Mielczarek , Thomas Cailleteau , Julien Grain , Aurelien Barrau

We study in detail the power spectra of scalar and tensor perturbations generated during inflation in loop quantum cosmology (LQC). After clarifying in a novel quantitative way how inverse-volume corrections arise in inhomogeneous settings,…

广义相对论与量子宇宙学 · 物理学 2015-03-19 Martin Bojowald , Gianluca Calcagni , Shinji Tsujikawa

The inflationary and pre-inflationary evolution of scalar modes of cosmological perturbations in a closed universe is analyzed for a loop quantum cosmology model with an inflationary regime consistent with the constraints on inflation…

广义相对论与量子宇宙学 · 物理学 2024-11-26 Lucas M. V. Montese , Nelson Yokomizo

In the context of loop quantum cosmology, we consider an inflationary era driven by a canonical scalar field and occurring in the semiclassical regime, where spacetime is a continuum but quantum gravitational effects are important. The…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Gianluca Calcagni , Marina Cortes

In this work we use the Loop Quantum Cosmology modified scalar-tensor reconstruction techniques in order to investigate how bouncing and inflationary cosmologies can be realized. With regard to the inflationary cosmologies, we shall be…

广义相对论与量子宇宙学 · 物理学 2018-04-18 K. Kleidis , V. K. Oikonomou

Since inflationary perturbations must generically couple to all degrees of freedom present in the early Universe, it is more realistic to view these fluctuations as an open quantum system interacting with an environment. Then, on very…

宇宙学与河外天体物理 · 物理学 2024-10-10 Jerome Martin , Vincent Vennin

For most initial conditions, cosmologically relevant physical modes were trans-planckian at the bounce time, often by many magnitude orders. We improve the usual loop quantum cosmology calculation of the primordial power spectra -- in the…

广义相对论与量子宇宙学 · 物理学 2018-05-23 Killian Martineau , Aurélien Barrau , Julien Grain

In loop quantum cosmology there may be a super-inflation phase in the very early universe, in which a single scalar field with a negative power-law potential $V= -M^4(\phi/M)^\beta$ plays important roles. Since the effective horizon…

广义相对论与量子宇宙学 · 物理学 2009-11-19 Masahiro Shimano , Tomohiro Harada

Anomaly-free perturbations of loop quantum cosmology reveal a deformed space-time structure, in which the signature changes when the energy density is $\rho=\rho_c/2$. Furthermore, in loop quantum cosmology, one can obtain an effective…

广义相对论与量子宇宙学 · 物理学 2015-11-19 Long Chen , Jian-Yang Zhu

We investigate the scalar mode of perturbation of super inflation in the version of loop quantum cosmology in which the gauge invariant holonomy corrections are considered. Given a background solution, we calculate the power spectrum of the…

广义相对论与量子宇宙学 · 物理学 2015-06-12 Xiao-Jun Yue , Jian-Yang Zhu

At the level of heuristic effective dynamics, we investigate the cosmological inflation with holonomy corrections of loop quantum cosmology (LQC) in the $k=0$ Friedmann-Robertson-Walker model with a single inflaton field subject to a simple…

广义相对论与量子宇宙学 · 物理学 2010-04-29 Dah-Wei Chiou , Kai Liu

We provide an exhaustive numerical exploration of the predictions of loop quantum cosmology (LQC) with a post-bounce phase of inflation for the primordial power spectrum of scalar and tensor perturbations. We extend previous analysis by…

广义相对论与量子宇宙学 · 物理学 2015-12-30 Ivan Agullo , Noah A. Morris

The full set of cosmological observables coming from linear scalar and tensor perturbations of loop quantum cosmology is computed in the presence of inverse-volume corrections. Background inflationary solutions are found at linear order in…

广义相对论与量子宇宙学 · 物理学 2011-03-28 Martin Bojowald , Gianluca Calcagni

We derive a Higgs inflationary model in the context of holographic cosmology, where we consider a universe filled with a Higgs field non-minimally coupled to gravity in a slow-roll regime. The amplitude of density (scalar) perturbations is…

广义相对论与量子宇宙学 · 物理学 2021-01-28 Aatifa Bargach , Farida Bargach , Mariam Bouhmadi-López , Taoufik Ouali

The cosmological primordial power spectrum is known to be one of the most promising observable to probe quantum gravity effects. In this article, we investigate how the tensor power spectrum is modified by Loop Quantum Gravity corrections.…

广义相对论与量子宇宙学 · 物理学 2010-04-06 J. Grain , T. Cailleteau , A. Barrau , A. Gorecki

In the inflationary scenario of loop quantum cosmology in the presence of inverse-volume corrections, we give analytic formulas for the power spectra of scalar and tensor perturbations convenient to compare with observations. Since…

宇宙学与河外天体物理 · 物理学 2015-03-18 Martin Bojowald , Gianluca Calcagni , Shinji Tsujikawa
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