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One presents a phase-space noncommutative extension of Quantum Cosmology in the context of a Kantowski-Sachs (KS) minisuperspace model. We obtain the Wheeler-DeWitt (WDW) equation for the noncommutative system through the ADM formalism and…

高能物理 - 理论 · 物理学 2009-07-24 C. Bastos , O. Bertolami , N. Dias , J. Prata

We derive the renormalized nonequilibrium equations of motion for a scalar field and its quantum back reaction in a conformally flat Friedmann-Robertson-Walker universe. We use a fully covariant formalism proposed by us recently for…

高能物理 - 唯象学 · 物理学 2014-11-17 Jurgen Baacke , Katrin Heitmann , Carsten Patzold

The Hawking minisuperspace model (closed FRW geometry with a homogeneous massive scalar field) provides a fairly non-trivial testing ground for fundamental problems in quantum cosmology. We provide evidence that the Wheeler-DeWitt equation…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Franz Embacher

We apply the de Broglie-Bohm interpretation to the Wheeler-DeWitt equation for the quantum FRW cosmological model with a minimal massless scalar field. We find that the quantum FRW cosmological model has quantum potential dominated…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Sang Pyo Kim

A spatially flat Friedmann-Robertson-Walker(FRW) cosmological model with generalized Chaplygin gas is studied in the context of scalar-metric formulation of cosmology. Schutz's mechanism for the perfect fluid is applied with generalized…

广义相对论与量子宇宙学 · 物理学 2011-06-24 Barun Majumder

The Wheeler-DeWitt equation for the minimally coupled FRW-massive-scalar-field minisuperspace is written as a two-component Schr\"odinger equation with an explicitly `time'-dependent Hamiltonian. This reduces the solution of the…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Ali Mostafazadeh

We consider the application of group invariant transformations in order to constrain a flat isotropic and homogeneous cosmological model, containing of a Brans-Dicke scalar field and a perfect fluid with a constant equation of state…

广义相对论与量子宇宙学 · 物理学 2016-03-02 Andronikos Paliathanasis , Michael Tsamparlis , Spyros Basilakos , John D. Barrow

We study wormhole as the solution of the Wheeler-deWitt (WdW ) equation satisfying Hawking-Page wormhole boundary conditions in Friedmann-Robertson-Walker (FRW) cosmology. The quantum wormholes are formulated with arbitrary factor ordering…

广义相对论与量子宇宙学 · 物理学 2025-11-18 Farook Rahaman , Bikramarka S. Choudhury , Anikul Islam

Modern cosmological theory is based on the Friedmann--Robertson--Walker (FRW) metric. Often written in terms of co-moving coordinates, this well-known solution to Einstein's equations owes its elegant and highly practical formulation to the…

综合物理 · 物理学 2018-09-14 Fulvio Melia

The components of the Riemann tensor in the tetrad basis are quantized and, through the Einstein equation, we find the local expectation value in the ontological interpretation of quantum mechanics of the energy density and pressure of a…

广义相对论与量子宇宙学 · 物理学 2010-09-02 Patricio S. Letelier , João Paulo M. Pitelli

We study a Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) space-time in the theory of $f(Q)$-gravity, where $Q$ denotes the non-metricity scalar. It has been previously shown in the literature, that there exist four distinct families of…

广义相对论与量子宇宙学 · 物理学 2022-08-17 N. Dimakis , A. Paliathanasis , M. Roumeliotis , T. Christodoulakis

We consider minisuperspace models with two-derivative kinetic terms, assuming a flat target space and a closed Universe. We show that, upon canonical quantization of the Hamiltonian, only a restricted class of operator orderings is…

高能物理 - 理论 · 物理学 2026-05-19 Victor Franken , Eftychios Kaimakkamis , Hervé Partouche , Nicolaos Toumbas

We present a Friedmann-Robertson-Walker quantum cosmological model in the presence of Chaplygin gas and perfect fluid for early and late time epoches. In this work, we consider perfect fluid as an effective potential and apply Schutz's…

广义相对论与量子宇宙学 · 物理学 2008-11-26 P. Pedram , S. Jalalzadeh

Wheeler-DeWitt equation is applied to $k > 0$ Friedmann Robertson Walker metric with various types of matter. It is shown that if the Universe ends in the matter dominated era (e.g., radiation or pressureless gas) with zero cosmological…

高能物理 - 理论 · 物理学 2010-11-01 Jong Hyun Kung

In this paper we study the effects of including anisotropic scaling invariance in the minisuperspace Lagrangian for a universe modelled by the Friedman-Robertson-Walker metric, a massless scalar field and cosmological constant. We find that…

广义相对论与量子宇宙学 · 物理学 2015-12-18 J. F. Chagoya , M. Sabido

In this paper we present a Friedmann-Robertson-Walker cosmological model conformally coupled to a massive scalar field where the WKB approximation fails to reproduce the exact solution to the Wheeler-DeWitt equation for large Universes. The…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Esteban Calzetta , Juan Jose Gonzalez

A review on spatially flat D-dimensional Friedmann-Robertson-Walker (FRW) model of the universe has been performed. Some standard parameterizations of the equation of state parameter of the Dark Energy models are proposed and the…

广义相对论与量子宇宙学 · 物理学 2019-03-26 Tanwi Bandyopadhyay , Ujjal Debnath

We consider the Wheeler-DeWitt equation $H\psi=0$ in a suitable Hilbert space. It turns out that this equation has countably many solutions $\psi_i$ which can be considered as eigenfunctions of a Hamilton operator implicitly defined by $H$.…

广义相对论与量子宇宙学 · 物理学 2009-02-09 Claus Gerhardt

The Friedman-Lemaitre-Robertson-Walker (FLRW) cosmological models are based on the assumptions of large-scale homogeneity and isotropy of the distribution of matter and energy. They are usually taken to have spatial sections that are simply…

宇宙学与河外天体物理 · 物理学 2015-06-03 Helio V. Fagundes

We present the canonical and quantum cosmological investigation of a four-dimensional, spatially flat, Friedmann-Robertson-Walker (FRW) model that is derived from the bosonic Neveu-Schwarz/Neveu-Schwarz sector of the low-energy M-theory…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Marco Cavaglia , Paulo Vargas Moniz