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One of critical components of Loop Quantum Gravity (LQG) and Cosmology (LQC) -- Thiemann regularization procedure is non-unique. Different choices of particular prescriptions lead to models which differ in both mathematical structure and…

广义相对论与量子宇宙学 · 物理学 2022-12-26 Maciej Kowalczyk , Tomasz Pawłowski

We construct a position-space cosmological perturbation theory around spatially flat Friedmann-Lema\^itre-Robertson-Walker geometries that allows to model localized primordial sources of gravitational waves. The equations of motion are…

广义相对论与量子宇宙学 · 物理学 2026-04-13 Geoffrey Compère , Sk Jahanur Hoque

We re-examine the process of loop quantization for flat isotropic models in cosmology. In particular, we contrast different inequivalent `loop quantizations' of these simple models through their respective successes and limitations and…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Alejandro Corichi , Parampreet Singh

We discuss the freedom available in hybrid loop quantum cosmology to define canonical variables for the matter content and investigate whether this can be used to derive a quantum field theory with good properties for the matter sector. We…

广义相对论与量子宇宙学 · 物理学 2018-10-02 Beatriz Elizaga Navascués , Guillermo A. Mena Marugán , Santiago Prado Loy

When applying the techniques of Loop Quantum Gravity (LQG) to symmetry-reduced gravitational systems, one first regularizes the scalar constraint using holonomy corrections, prior to quantization. In inhomogeneous system, where a residual…

广义相对论与量子宇宙学 · 物理学 2018-06-20 Jibril Ben Achour , Suddhasattwa Brahma

Recently, Chamseddine and Mukhanov introduced a higher-derivative scalar-tensor theory which leads to a modified Friedmann equation allowing for bouncing solutions. As we note in the present work, this Friedmann equation turns out to…

广义相对论与量子宇宙学 · 物理学 2017-12-13 David Langlois , Hongguang Liu , Karim Noui , Edward Wilson-Ewing

Recently, inhomogeneous generalisations of the Friedmann-Lemaitre-Robertson-Walker cosmological models have gained interest in the astrophysical community and are more often employed to study cosmological phenomena. However, in many papers…

宇宙学与河外天体物理 · 物理学 2011-10-17 Krzysztof Bolejko , Marie-Noëlle Célérier , Andrzej Krasiński

Inhomogeneous quantum cosmology is modeled as a dynamical system of discrete patches, whose interacting many-body equations can be mapped to a non-linear minisuperspace equation by methods analogous to Bose-Einstein condensation.…

广义相对论与量子宇宙学 · 物理学 2012-12-18 Martin Bojowald , Alexander L. Chinchilli , Christine C. Dantas , Matthew Jaffe , David Simpson

In this paper we present a model of Riemannian loop quantum cosmology with a self-adjoint quantum scalar constraint. The physical Hilbert space is constructed using refined algebraic quantization. When matter is included in the form of a…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Karim Noui , Alejandro Perez , Kevin Vandersloot

We propose an analytic procedure that allows to determine quantitatively the deviation in the behavior of cosmological perturbations between a given f(R) modified gravity model and a LCDM reference model. Our method allows to study…

宇宙学与河外天体物理 · 物理学 2015-05-30 Daniele Bertacca , Nicola Bartolo , Sabino Matarrese

We examine an extension of the ideas of quantum cosmology and, in particular, the proposal of Hartle and Hawking for the boundary conditions of the Universe, to models which incorporate Yang-Mills fields. Inhomogeneous perturbations about a…

高能物理 - 理论 · 物理学 2010-11-01 D. Kapetanakis , G. Koutsoumbas , A. Lukas , P. Mayr

This introductory review is addressed to beginning researchers. Some of the distinguishing features of loop quantum gravity are illustrated through loop quantum cosmology of FRW models. In particular, these examples illustrate: i) how…

广义相对论与量子宇宙学 · 物理学 2010-11-11 Abhay Ashtekar

We study linear perturbations of the Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model in the Regge-Wheeler formalism which is a standard framework to study perturbations of spherically-symmetric black holes. In particular, we…

广义相对论与量子宇宙学 · 物理学 2020-04-15 Andrzej Rostworowski

Within the framework of loop quantum cosmology, there exists a semi-classical regime where spacetime may be approximated in terms of a continuous manifold, but where the standard Friedmann equations of classical Einstein gravity receive…

广义相对论与量子宇宙学 · 物理学 2009-11-10 James E. Lidsey

The formalism of rainbow gravity is studied in a cosmological setting. We consider the very early universe which is radiation dominated. A novel treatment in our paper is to look for an ``averaged'' cosmological metric probed by radiation…

广义相对论与量子宇宙学 · 物理学 2009-07-07 Yi Ling

Gauge invariant regularization of quantum field theory in the framework of Light-Front (LF) Hamiltonian formalism via introducing a lattice in transverse coordinates and imposing boundary conditions in LF coordinate $x^-$ for gauge fields…

高能物理 - 理论 · 物理学 2009-11-10 S. A. Paston , E. V. Prokhvatilov , V. A. Franke

This article is devoted to the study of scalar perturbations in loop quantum cosmology. It aims at clarifying the situation with respect to the way initial conditions are set and to the specific choice of an inflaton potential. Several…

广义相对论与量子宇宙学 · 物理学 2018-10-10 Aurélien Barrau , Pierre Jamet , Killian Martineau , Flora Moulin

In this paper, we study the main cosmological properties of the classical Friedmann equations in the case of homogeneous and isotropic Friedmann-Robertson-Walker Universe and we also generalized the expression of the Friedmann equation in…

广义相对论与量子宇宙学 · 物理学 2014-03-13 S. Chattopadhyay , A. Ashurov , M. Khurshudyan , K. Myrzakulov , A. Pasqua , R. Myrzakulov

The initial singularity is the most troubling feature of the standard cosmology, which quantum effects are hoped to resolve. In this paper, we study quantum cosmology with conformal (Weyl) invariant matter. We show it is natural to extend…

广义相对论与量子宇宙学 · 物理学 2017-05-24 Steffen Gielen , Neil Turok

We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of the quantum Hamiltonian is presented, and…

广义相对论与量子宇宙学 · 物理学 2012-03-08 Valentin Bonzom , Alok Laddha