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The primordial spectrum of cosmological tensor perturbations is considered as a possible probe of quantum gravity effects. Together with string theory, loop quantum gravity is one of the most promising frameworks to study quantum effects in…

广义相对论与量子宇宙学 · 物理学 2009-04-09 J. Grain , A. Barrau

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

Together with holonomy corrections, inverse volume terms should be taken into account when studying the primordial universe in loop quantum cosmology. We investigate how the tensor power spectrum is modified with respect to the standard…

广义相对论与量子宇宙学 · 物理学 2013-05-29 J. Grain , A. Barrau , A. Gorecki

Loop quantum gravity is one of the leading candidate theory to non-perturbatively quantize gravity. In this framework, holonomy corrections to the equation of propagation of gravitons in a FLRW background have been derived. We investigate…

广义相对论与量子宇宙学 · 物理学 2008-05-06 A. Barrau , J. Grain

Loop Quantum Gravity (L.Q.G.) is one of the two most promising tentative theory for a quantum description of gravity. When applied to the entire universe, the so-called Loop Quantum Cosmology (L.Q.C.) framework offers microscopical models…

广义相对论与量子宇宙学 · 物理学 2014-11-20 J. Grain

We explore the consequences of loop quantum cosmology (inverse-volume corrections) in the spectrum of the gravitational waves using the method of the Bogoliubov coefficients. These corrections are taken into account at the background level…

广义相对论与量子宇宙学 · 物理学 2014-01-22 Joao Morais , Mariam Bouhmadi-Lopez , Alfredo B. Henriques

The propagation of perturbations is studied with generalized holonomy corrections in a fully consistent way, ensuring that the deformed algebra of constraints remains closed. The primordial cosmological power spectra are calculated. It is…

广义相对论与量子宇宙学 · 物理学 2023-06-28 Maxime De Sousa , Killian Martineau , Cyril Renevey , Aurélien Barrau

The holonomy correction is one of the main terms arising when implementing loop quantum gravity ideas at an effective level in cosmology. The recent construction of an anomaly free algebra has shown that the formalism used, up to now, to…

广义相对论与量子宇宙学 · 物理学 2014-07-28 Linda Linsefors , Thomas Cailleteau , Aurelien Barrau , Julien Grain

We derive the primordial power spectra and spectral indexes of the density fluctuations and gravitational waves in the framework of loop quantum cosmology (LQC) with holonomy and inverse-volume corrections, by using the uniform asymptotic…

广义相对论与量子宇宙学 · 物理学 2015-08-04 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng , Qiang Wu

The cosmological tensor perturbation equation with generalized holonomy corrections is derived in the framework of effective loop quantum gravity. This results in a generalized dispersion relation for gravitational waves, encompassing…

广义相对论与量子宇宙学 · 物理学 2024-08-13 Shulan Li , Jian-Pin Wu

Cosmological tensor perturbations equations are derived for Hamiltonian cosmology based on Ashtekar's formulation of general relativity, including typical quantum gravity effects in the Hamiltonian constraint as they are expected from loop…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Martin Bojowald , Golam Mortuza Hossain

In this paper we investigate gravitational waves production during the Big Bounce phase inspired by the Loop Quantum Cosmology. We consider the influence of the holonomy corrections to the equation for tensor modes. We show that they act…

广义相对论与量子宇宙学 · 物理学 2014-11-18 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 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

In this paper we consider tensor perturbations produced at a bounce phase in presence of the holonomy corrections. Here bounce phase and holonomy corrections originate from Loop Quantum Cosmology. We re-derive formulas for the corrections…

广义相对论与量子宇宙学 · 物理学 2009-07-09 Jakub Mielczarek

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

Most of the phenomenology of loop quantum gravity in the cosmological sector is based on the so-called holonomy correction to the Hamiltonian constraint. It straightforwardly modifies the Friedmann equations. In this work, we investigate…

广义相对论与量子宇宙学 · 物理学 2022-04-06 Cyril Renevey , Killian Martineau , Aurélien Barrau

We calculate the full spectrum, as observed today, of the cosmological gravitational waves generated within a model based on loop quantum cosmology. It is assumed that the universe, after the transition to the classical regime, undergoes a…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Paulo M. Sá , Alfredo B. Henriques

We study the dynamics and predictions of a new emergent-universe model recently derived within Quantum Reduced Loop Gravity and based on the so-called statistical regularization scheme. These effective geometries show a dynamical transition…

广义相对论与量子宇宙学 · 物理学 2019-04-24 Javier Olmedo , Emanuele Alesci

Perturbative quantum corrections to primordial power spectra are important for testing the robustness and the regime of validity of inflation as an effective field theory. Although this has been done extensively for the density power…

高能物理 - 理论 · 物理学 2022-09-07 Suddhasattwa Brahma , Arjun Berera , Jaime Calderón-Figueroa
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