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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

Canonical quantum gravity provides insights into the quantum dynamics as well as quantum geometry of space-time by its implications for constraints. Loop quantum gravity in particular requires specific corrections due to its quantization…

广义相对论与量子宇宙学 · 物理学 2015-05-14 Martin Bojowald

Solvable loop quantum cosmology provides a simple model of spatially flat, homogeneous, and isotropic quantum cosmology where the initial singularity is resolved. A close inspection of the literature reveals that there exist two different…

广义相对论与量子宇宙学 · 物理学 2019-04-05 Norbert Bodendorfer

This work investigates alternative theories of gravity, the solutions to their field equations and the constraints that can be imposed upon them from observation and experiment. Specifically, we consider the cosmologies and spherically…

广义相对论与量子宇宙学 · 物理学 2007-05-23 T. Clifton

We use the method of embedding a subsystem (i.e. its observable algebra) into a larger quantum system to extract a cosmological sector from full Loop Quantum Gravity. The application of this method provides a setting for a systematic study…

广义相对论与量子宇宙学 · 物理学 2007-11-08 Tim A. Koslowski

Loop quantum cosmology of the k=0 FRW model (with a massless scalar field) is shown to be exactly soluble if the scalar field is used as the internal time already in the classical Hamiltonian theory. Analytical methods are then used i) to…

广义相对论与量子宇宙学 · 物理学 2010-04-23 Abhay Ashtekar , Alejandro Corichi , Parampreet Singh

Loop quantum cosmology leads to a difference equation for the wave function of a universe, which in general has solutions changing rapidly even when the volume changes only slightly. For a semiclassical regime such small-scale oscillations…

广义相对论与量子宇宙学 · 物理学 2009-03-24 Daniel Cartin , Gaurav Khanna , Martin Bojowald

Quantum cosmology in general denotes the application of quantum physics to the whole universe and thus gives rise to many realizations and examples, covering problems at different mathematical and conceptual levels. It is related to quantum…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Martin Bojowald

It is shown that the cosmological singularity in isotropic minisuperspaces is naturally removed by quantum geometry. Already at the kinematical level, this is indicated by the fact that the inverse scale factor is represented by a bounded…

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

A brief summary of the singularity resolution in loop quantum cosmology of homogeneous isotropic models is presented. The article is addressed to relativists who do not specialize in quantum gravity. For further details, and answers to more…

广义相对论与量子宇宙学 · 物理学 2009-11-05 Abhay Ashtekar

This article sheds new light on the problem of cosmological reduction in Loop Quantum Gravity. We critically analyze Quantum Reduced Loop Gravity -- an attempt to extract the cosmological sector of the full theory. We reconsider the…

广义相对论与量子宇宙学 · 物理学 2021-01-12 Jakub Bilski , Antonino Marciano

The quantum-reduced loop-gravity technique has been introduced for dealing with cosmological models. We show that it can be applied rather generically: anytime the spatial metric can be gauge-fixed to a diagonal form. The technique selects…

广义相对论与量子宇宙学 · 物理学 2013-11-13 Emanuele Alesci , Francesco Cianfrani , Carlo Rovelli

We explore the extension of quantum cosmology outside the homogeneous approximation, using the formalism of loop quantum gravity. We introduce a model where some of the inhomogeneous degrees of freedom are present, providing a tool for…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Carlo Rovelli , Francesca Vidotto

Anisotropic cosmological models are constructed in $f(R,T)$ gravity theory to investigate the dynamics of universe concerning the late time cosmic acceleration. Using a more general and simple approach, the effect of the coupling constant…

综合物理 · 物理学 2018-10-05 B. Mishra , Sankarsan Tarai , S. K. Tripathy

Quantum cosmology may restrict the class of gauge models which unify electroweak and strong interactions. In particular, if one studies the normalizability criterion for the one-loop wave function of the universe in a de Sitter background…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Giampiero Esposito , Alexander Yu. Kamenshchik , Gennaro Miele

Quantum reduced loop gravity is designed to consistently study symmetry reduced systems within the loop quantum gravity framework. In particular, it bridges the gap between the effective cosmological models of loop quantum cosmology and the…

广义相对论与量子宇宙学 · 物理学 2018-12-05 Emanuele Alesci , Aurélien Barrau , Gioele Botta , Killian Martineau , Gabriele Stagno

We consider a model for gravity that is invariant under global scale transformations. It includes one extra real scalar field coupled non-minimally to the gravity fields. In this model all the dimensionful parameters like the gravitational…

广义相对论与量子宇宙学 · 物理学 2012-02-06 Pankaj Jain , Purnendu Karmakar , Subhadip Mitra , Sukanta Panda , Naveen K. Singh

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

In this paper we study the flat (k=0) cosmological FRW model with holonomy corrections of Loop Quantum Gravity. The considered universe contains a massless scalar field and the cosmological constant Lambda. We find analytical solutions for…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Jakub Mielczarek , Tomasz Stachowiak , Marek Szydlowski

We propose several covariant models which may solve one of the problems in the cosmological constant. One of the model can be regarded as an extension of sequestering model. Other models could be regarded as extensions of the covariant…

高能物理 - 理论 · 物理学 2016-11-10 Shin'ichi Nojiri