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In this work we construct a noncommutative version of the Friedmann equations in the framework of effective loop quantum cosmology, extending and applying the ideas presented in a previous proposal by some of the authors. The model under…

广义相对论与量子宇宙学 · 物理学 2019-11-05 Luis Rey Díaz-Barrón , Abraham Espinoza-García , S. Pérez-Payán , J. Socorro

I present a streamlined review of how the separate universe approach to cosmological perturbation theory can be used to study the dynamics of long-wavelength scalar perturbations in loop quantum cosmology, and then use it to calculate how…

广义相对论与量子宇宙学 · 物理学 2016-08-03 Edward Wilson-Ewing

The detailed formulation for loop quantum cosmology (LQC) in the Bianchi I model with a scalar massless field has been constructed. In this paper, its effective dynamics is studied in two improved strategies for implementing the LQC…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Dah-Wei Chiou

We discuss massive scalar field with conformal coupling in Friedmann-Robertson-Walker (FRW) Universe of special type with constant electromagnetic field. Treating an external gravitational-electromagnetic background exactly, at first time…

高能物理 - 理论 · 物理学 2009-09-17 S. P. Gavrilov , D. M. Gitman , S. D. Odintsov

Loop quantum cosmology homogeneous models with a massless scalar field show that the big-bang singularity can be replaced by a big quantum bounce. To gain further insight on the nature of this bounce, we study the semi-discrete loop quantum…

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

We derive an effective dynamics for scalar cosmological perturbations from quantum gravity, in the framework of group field theory (GFT) condensate cosmology. The emergent spacetime picture is obtained from the mean field hydrodynamic…

广义相对论与量子宇宙学 · 物理学 2022-07-19 Luca Marchetti , Daniele Oriti

For a class of solutions of the fundamental difference equation of isotropic loop quantum cosmology, the difference equation can be replaced by a differential equation valid for {\em all} values of the triad variable. The differential…

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

Quantum cosmology implies corrections to the classical equations of motion which may lead to significant departures from the classical trajectory, especially at high curvature near the big-bang singularity. Corrections could in principle be…

广义相对论与量子宇宙学 · 物理学 2014-09-09 Martin Bojowald , David Simpson

Effective field theory provides a perturbative framework to study the evolution of cosmological large-scale structure. We investigate the underpinnings of this approach, and suggest new ways to compute correlation functions of cosmological…

高能物理 - 理论 · 物理学 2014-07-16 Sean M. Carroll , Stefan Leichenauer , Jason Pollack

A derivation of the one-loop effective Lagrangian in the self-interacting $O(N)$ scalar theory, in slowly varying gravitational fields, is presented (using $\zeta$-regularization and heat-kernel techniques). The result is given in terms of…

高能物理 - 理论 · 物理学 2009-09-17 Emilio Elizalde , Klaus Kirsten , Sergei Odintsov

We develop approximation methods in the hybrid quantization of the Gowdy model with linear polarization and a massless scalar field, for the case of three-torus spatial topology. The loop quantization of the homogeneous gravitational sector…

广义相对论与量子宇宙学 · 物理学 2014-12-01 Mercedes Martín-Benito , Daniel Martín-de Blas , Guillermo A. Mena Marugán

The effective evolution of an inhomogeneous universe model in any theory of gravitation may be described in terms of spatially averaged variables. In Einstein's theory, restricting attention to scalar variables, this evolution can be…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Thomas Buchert

A consistent implementation of quantum gravity is expected to change the familiar notions of space, time and the propagation of matter in drastic ways. This will have consequences on very small scales, but also gives rise to correction…

广义相对论与量子宇宙学 · 物理学 2009-08-26 Martin Bojowald , Golam Mortuza Hossain , Mikhail Kagan , S. Shankaranarayanan

We study the dynamical behaviour of gauge-invariant linear perturbations in spherically symmetric dust cosmologies including a cosmological constant. In contrast to spatially homogeneous FLRW models, the reduced degree of spatial symmetry…

宇宙学与河外天体物理 · 物理学 2017-12-27 Sven Meyer , Matthias Bartelmann

The scheme of using the Chern-Simons action to regularize the gravitational Hamiltonian constraint is extended to including the Lorentzian term in the $k=0$ cosmological model. The Euclidean term and the Lorenzian term are thus regularized…

广义相对论与量子宇宙学 · 物理学 2020-10-12 Jinsong Yang , Cong Zhang , Yongge Ma

The paper deals with cosmological solutions describing different phases of the Universe for the homogeneous and isotropic FLRW model of the Universe with torsion. Normally, torsion field is not suitable for maximally symmetric space time…

广义相对论与量子宇宙学 · 物理学 2020-10-30 Akash Bose , Subenoy Chakraborty

In loop quantum cosmology the quantum dynamics is well understood. We approximate the full quantum dynamics in the infinite dimensional Hilbert space by projecting it on a finite dimensional submanifold thereof, spanned by suitably chosen…

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

A mathematical model of the evolution of spherical perturbations in a cosmological ideal scalar-charged fluid with scalar Higgs interaction is constructed. A closed mathematical model of linear spherical perturbations in a cosmological…

广义相对论与量子宇宙学 · 物理学 2025-04-21 Yu. G. Ignat'ev

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

In this paper, a new Hamiltonian constraint operator for loop quantum cosmology is constructed by using the Chern-Simons action. The quantum dynamics of the $k=0$ cosmological model with respect to a massless scalar field as an emergent…

广义相对论与量子宇宙学 · 物理学 2019-09-23 Jinsong Yang , Cong Zhang , Yongge Ma