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Loop quantum cosmology is a tentative approach to model the universe down to the Planck era where quantum gravity settings are needed. The quantization of the universe as a dynamical space-time is inspired by Loop Quantum Gravity ideas. In…

广义相对论与量子宇宙学 · 物理学 2016-08-03 J. Grain

We propose and construct a two-parameter perturbative expansion around a Friedmann-Lema\^{i}tre-Robertson-Walker geometry that can be used to model high-order gravitational effects in the presence of non-linear structure. This framework…

宇宙学与河外天体物理 · 物理学 2017-02-15 Sophia R. Goldberg , Timothy Clifton , Karim A. Malik

A complete quantization of a homogeneous and isotropic spacetime with closed spatial sections coupled to a massive scalar field is provided, within the framework of Loop Quantum Cosmology. We identify solutions with their initial data on…

广义相对论与量子宇宙学 · 物理学 2012-08-31 Mikel Fernández-Méndez , Guillermo A. Mena Marugán , Javier Olmedo

We propose a new method to investigate signatures of a quantum gravity phase in the primordial state of cosmological perturbations. We formulate and study a quantum model of a perturbed Friedmann-Lemaitre-Robertson-Walker universe beyond a…

广义相对论与量子宇宙学 · 物理学 2024-08-29 Herve Bergeron , Przemyslaw Malkiewicz , Patrick Peter

We study the imprint that certain quantization ambiguities may leave in effective regimes of the hybrid loop quantum description of cosmological perturbations. More specifically, in the case of scalar perturbations we investigate how to…

广义相对论与量子宇宙学 · 物理学 2021-12-28 Beatriz Elizaga Navascués , Guillermo A. Mena Marugán

We study the classical and quantum models of a Friedmann-Robertson-Walker (FRW) cosmology in the framework of the gravity theory proposed by Ho\v{r}ava, the so-called Ho\v{r}ava-Lifshitz theory of gravity. Beginning with the ADM…

广义相对论与量子宇宙学 · 物理学 2013-06-11 B. Vakili , V. Kord

We apply the Dirac procedure for constrained systems to the Arnowitt-Deser-Misner formalism linearized around the Friedmann-Lemaitre universe. We explain and employ some basic concepts such as Dirac observables, Dirac brackets, gauge-fixing…

广义相对论与量子宇宙学 · 物理学 2019-10-30 Przemysław Małkiewicz

We study a $R^{2}$ model of gravity with torsion in a closed Friedmann-Robertson-Walker universe. The model is cast in Hamiltonian form subtracting from the original Lagrangian the total time derivative of $f_{K}f_{R}$, where $f_{K}$ is…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Giampiero Esposito

Loop quantum cosmology is a symmetry reduced quantization of cosmological spacetimes based on loop quantum gravity. While it has been successful in resolution of various cosmological singularities and connecting Planck scale physics to…

广义相对论与量子宇宙学 · 物理学 2019-12-25 Klaus Liegener , Parampreet Singh

We study one-loop corrections to the two-point correlation function of tensor perturbations in primordial cosmology induced by massless spectator matter fields. Using the Schwinger-Keldysh formalism in cosmological perturbation theory, we…

广义相对论与量子宇宙学 · 物理学 2020-11-02 H. S. Tan

In this paper we work out in detail a new proposal to define rigorously a sector of loop quantum gravity at the diffeomorphism invariant level corresponding to homogeneous and isotropic cosmologies, and propose how to compare in detail the…

广义相对论与量子宇宙学 · 物理学 2017-11-22 Christopher Beetle , Jonathan Steven Engle , Matthew Ernest Hogan , Phillip Mendonca

Scalar cosmological perturbations in loop quantum cosmology (LQC) is revisited in a covariant manner, using self dual Ashtekar variables. For real-valued Ashtekar-Barbero variables, this `deformed algebra' approach has been shown to…

广义相对论与量子宇宙学 · 物理学 2016-10-25 Jibril Ben Achour , Suddhasattwa Brahma , Julien Grain , Antonino Marciano

The possibility that quantum geometry effects may alleviate the apparent tensions existing at large angular scales in the observations of the Cosmic Microwave Background explains the increasing interest in considering primordial…

广义相对论与量子宇宙学 · 物理学 2024-07-26 Guillermo A. Mena Marugán , Antonio Vicente-Becerril , Jesús Yébana Carrilero

A common approach in physics and mathematics is to extend and modify theories and frameworks by considering what is often described as a `natural' extension or modification by including higher-order terms or by introducing other…

广义相对论与量子宇宙学 · 物理学 2026-05-19 Christian G. Boehmer , Eissa Al-Nasrallah

In this paper, we first provide a brief review of the effective dynamics of two recently well-studied models of modified loop quantum cosmologies (mLQCs), which arise from different regularizations of the Hamiltonian constraint and show the…

广义相对论与量子宇宙学 · 物理学 2021-06-25 Bao-Fei Li , Parampreet Singh , Anzhong Wang

The leading quantum correction to Einstein-Hilbert Hamiltonian coming from large volume vacuum isotropic loop quantum cosmology, is independent of quantization ambiguity parameters. It is shown here that this correction can be viewed as…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Golam Mortuza Hossain

In the Schrodinger picture of the Dirac quantum mechanics, defined in charts with spatially flat Robertson-Walker metrics and Cartesian coordinates the perturbation theory is applied to the interacting part of the Hamiltonian operator…

广义相对论与量子宇宙学 · 物理学 2007-11-28 Pop Adrian Alin

Proposing smooth initial conditions is one of the most important tasks in quantum cosmology. On the other hand, the low-energy effective action, appearing in the semiclassical path integral, can get nontrivial quantum corrections near…

广义相对论与量子宇宙学 · 物理学 2018-11-07 Suddhasattwa Brahma , Dong-han Yeom

A brief overview of loop quantum cosmology of homogeneous isotropic models is presented with emphasis on the origin of and subtleties associated with the resolution of big bang and big crunch singularities. These results bear out the…

广义相对论与量子宇宙学 · 物理学 2009-04-17 Abhay Ashtekar

Within loop quantum gravity we construct a coarse-grained approximation for the Einstein-Maxwell theory that yields effective Maxwell equations in flat spacetime comprising Planck scale corrections. The corresponding Hamiltonian is defined…

高能物理 - 理论 · 物理学 2009-11-07 Jorge Alfaro , Hugo A. Morales-Técotl , Luis F. Urrutia