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The cosmological singularities of the Bianchi I universe are analyzed in the setting of loop geometry underlying the loop quantum cosmology. We solve the Hamiltonian constraint of the theory and find the Lie algebra of elementary…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Piotr Dzierzak , Wlodzimierz Piechocki

Loop quantum cosmology predicts that quantum gravity effects resolve the big-bang singularity and replace it by a cosmic bounce. Furthermore, loop quantum cosmology can also modify the form of primordial cosmological perturbations, for…

广义相对论与量子宇宙学 · 物理学 2017-06-28 Edward Wilson-Ewing

The dynamics of a (3 + 1) dimensional homogeneous anisotropic universe is modified by Loop Quantum Cosmology and, consequently, it has generically a big bounce in the past instead of a big-bang singularity. This modified dynamics can be…

广义相对论与量子宇宙学 · 物理学 2016-11-11 S. Kalyana Rama

Several examples are known where quantum gravity effects resolve the classical big bang singularity by a bounce. The most detailed analysis has probably occurred for loop quantum cosmology of isotropic models sourced by a free, massless…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Martin Bojowald

The quantum dynamics of the linearly polarized Gowdy T^3 model (compact inhomogeneous universes admitting linearly polarized gravitational waves) is analyzed within Loop Quantum Cosmology by means of an effective dynamics. The analysis,…

广义相对论与量子宇宙学 · 物理学 2014-11-04 David Brizuela , Guillermo A. Mena Marugan , Tomasz Pawlowski

The absence of isotropic singularity in loop quantum cosmology can be understood in an effective classical description as the universe exhibiting a Big Bounce. We show that with scalar matter field, the big bounce is generic in the sense…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Ghanashyam Date , Golam Mortuza Hossain

This paper investigates Bianchi I spacetimes within the Jordan frame of Brans-Dicke theory, incorporating the framework of effective loop quantum gravity. After developing general formulas, we analyze the robustness of classical singularity…

广义相对论与量子宇宙学 · 物理学 2025-02-21 Manabendra Sharma , Gustavo S. Vicente , Leila L. Graef , Rudnei O. Ramos , Anzhong Wang

We provide a quantum picture for the emergence of a bouncing cosmology, according to the idea that a semiclassical behavior of the Universe towards the singularity is not available in many relevant Minisuperspace models. In particular, we…

广义相对论与量子宇宙学 · 物理学 2022-09-07 Eleonora Giovannetti , Giovanni Montani

Loop quantum cosmology (LQC) predicts a nonsingular evolution of the universe through a bounce in the high energy region. But LQC has an ambiguity about the quantization scheme. Recently, the authors in [Phys. Rev. D 77, 124008 (2008)]…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Li-Fang Li , Jian-Yang Zhu

In this contribution we consider the issue of singularity resolution within loop quantum cosmology (LQC) for different homogeneous models. We present results of numerical evolutions of effective equations for both isotropic as well as…

广义相对论与量子宇宙学 · 物理学 2012-12-04 Alejandro Corichi , Asieh Karami , Edison Montoya

The closed, k=1, FRW model coupled to a massless scalar field is investigated in the framework of loop quantum cosmology using analytical and numerical methods. As in the k=0 case, the scalar field can be again used as emergent time to…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Abhay Ashtekar , Tomasz Pawlowski , Parampreet Singh , Kevin Vandersloot

Quantum effects are expected to modify the cosmological dynamics of the early universe while maintaining some (potentially discrete) notion of space-time structure. In one approach, loop quantum cosmology, current models are shown here to…

广义相对论与量子宇宙学 · 物理学 2026-04-29 Martin Bojowald , Manuel Diaz , Erick I. Duque

We numerically solve the effective loop quantum cosmology dynamics for the vacuum Bianchi type II and type IX spacetimes, in particular studying how the Kasner exponents evolve across the loop quantum cosmology bounce. We find that when the…

广义相对论与量子宇宙学 · 物理学 2023-10-11 Timothy Blackmore , Edward Wilson-Ewing

In loop quantum cosmology (LQC) the big bang is replaced by a quantum bounce which is followed by a robust phase of super-inflation. Rather than growing unboundedly in the past, the Hubble parameter \emph{vanishes} at the bounce and attains…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Abhay Ashtekar , David Sloan

The effective dynamics of loop quantum gravity for marginally bound Lema\^itre-Tolman-Bondi spacetimes predict that the big-bang singularity is resolved and replaced by a cosmic bounce. Numerics show that these effective dynamics also…

广义相对论与量子宇宙学 · 物理学 2025-03-12 Edward Wilson-Ewing

We show that simple scalar field models can give rise to curvature singularities in the effective Friedmann dynamics of Loop Quantum Cosmology (LQC). We find singular solutions for spatially flat Friedmann-Robertson-Walker cosmologies with…

广义相对论与量子宇宙学 · 物理学 2009-01-22 Thomas Cailleteau , Antonio Cardoso , Kevin Vandersloot , David Wands

As a first step to generalize the structure of loop quantum cosmology to the theories with the spacetime dimension other than four, the isotropic model of loop quantum cosmology in 2+1 dimension is studied in this paper. We find that the…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Xiangdong Zhang

We study the loop quantum cosmology of a flat Friedmann-Lemaitre-Robertson-Walker space-time with a Maxwell field. We show that many of the qualitative properties derived for the case of a massless scalar field also hold for a Maxwell…

广义相对论与量子宇宙学 · 物理学 2015-01-07 Tomasz Pawlowski , Roberto Pierini , Edward Wilson-Ewing

In Loop Quantum Gravity mathematically rigorous models of full quantum gravity were proposed. In this paper we study a cosmological sector of one of the models describing quantum gravity with positive cosmological constant coupled to…

广义相对论与量子宇宙学 · 物理学 2022-11-09 Marcin Kisielowski

One of the most remarkable phenomena in Loop Quantum Cosmology is that, at least for homogeneous cosmological models, the Big Bang is replaced with a Big Bounce that connects our universe with a previous branch without passing through a…

广义相对论与量子宇宙学 · 物理学 2013-11-07 Paula Tarrío , Mikel Fernández-Méndez , Guillermo A. Mena Marugán