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We perform a minisuperspace analysis of an information-theoretic nonlinear Wheeler-deWitt (WDW) equation for de Sitter universes. The nonlinear WDW equation, which is in the form of a difference-differential equation, is transformed into a…

广义相对论与量子宇宙学 · 物理学 2012-04-02 Rajesh R. Parwani , Siti Nursaba Tarih

We develop a quantum-cosmological framework in which the inflationary potential emerges from the structure of the wave function of the universe rather than being postulated. Starting from the Wheeler-DeWitt equation for a flat…

广义相对论与量子宇宙学 · 物理学 2025-10-07 Gerasimos Kouniatalis

The Wheeler-DeWitt equation for the Bianchi Class A cosmological models is expressed generally in terms of the second-order differential equation like the Klein-Gordon equation. To obtain the positive-definite probability density, a new…

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

In this article we perform the Wheeler-DeWitt quantization for Bianchi type $I$ anisotropic cosmological model in the presence of a scalar field minimally coupled to the Einstein-Hilbert gravity theory. We also consider the cosmological…

广义相对论与量子宇宙学 · 物理学 2019-08-14 Saumya Ghosh , Sunandan Gangopadhyay , Prasanta K. Panigrahi

Using a D = 1 supergravity framework I construct a super-Friedmann equation for an isotropic and homogenous universe including dynamical scalar fields. In the context of quantum theory this becomes an equation for a wave-function of the…

广义相对论与量子宇宙学 · 物理学 2019-02-12 J. W. van Holten

Motivated by previous works, we study semi-classical cosmological solutions and the wave function of the Wheeler-DeWitt equation in the Bose-Parker-Peleg model. We obtain the wave function of the universe satisfying the suitable boundary…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Wontae Kim , Edwin J. Son , Myung Seok Yoon

We consider the third quantization in quantum cosmology of a minisuperspace extended by the Eisenhart-Duval lift. We study the third quantization based on both Klein-Gordon type and Dirac-type equations in the extended minisuperspace.…

广义相对论与量子宇宙学 · 物理学 2022-08-23 Nahomi Kan , Takuma Aoyama , Taiga Hasegawa , Kiyoshi Shiraishi

We study the dynamical evolution of cosmological models with the Robertson-Walker symmetry with a scalar field non-minimally coupled to gravity and barotropic matter. For this aim we use dynamical system methods. We have found a type of…

宇宙学与河外天体物理 · 物理学 2010-12-02 Orest Hrycyna , Marek Szydlowski , Adam Krawiec

Dynamical systems methods are used to investigate global behavior of the spatially flat Friedmann-Robertson-Walker cosmological model in gravitational theory with a non-minimally coupled scalar field and a constant potential function. We…

广义相对论与量子宇宙学 · 物理学 2015-11-11 Orest Hrycyna , Marek Szydlowski

In the framework of a Varying Speed of Light theory, we study the eigenvalues associated with the Wheeler-DeWitt equation representing the vacuum expectation values associated with the cosmological constant. We find that the Wheeler-DeWitt…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Remo Garattini , Mariafelicia De Laurentis

We study approximate solutions of the Wheeler DeWitt (WdW) equation and compare them with the standard results of cosmological perturbation theory. In mini-superspace, we introduce a dimensionless gravitational coupling $\alpha$ that is…

高能物理 - 理论 · 物理学 2025-01-23 Federico Piazza , Siméon Vareilles

A nonsingular emergent universe cosmology can be realized by a nonconventional spinor field as first developed in \cite{Cai:2012yf}. We study the mechanisms of generating scale-invariant primordial power spectrum of curvature perturbation…

高能物理 - 理论 · 物理学 2014-03-11 Yi-Fu Cai , Youping Wan , Xinmin Zhang

We present a noncommutative extension of Quantum Cosmology and study the Kantowski-Sachs (KS) cosmological model requiring that the two scale factors of the KS metric, the coordinates of the system, and their conjugate canonical momenta do…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Catarina Bastos , Orfeu Bertolami , Nuno Costa Dias , João Nuno Prata

We consider the Bianchi type-I model of the universe in the Wheeler-DeWitt quantization scheme with the matter degree of freedom represented by a scalar field. As a consequence, the quantum mechanical equation of the universe is obtained in…

广义相对论与量子宇宙学 · 物理学 2024-02-22 Vishal , Malay K. Nandy

The present work deals with quantum cosmology for non-minimally coupled scalar field in the background of FLRW space--time model. The Wheeler-DeWitt equation is constructed and symmetry analysis is carried out. The Lie point symmetries are…

广义相对论与量子宇宙学 · 物理学 2019-06-26 Sourav Dutta , Muthusamy Lakshmanan , Subenoy Chakraborty

We investigate aspects of quantum cosmology in relation to string cosmology systems that are described in terms of the Dirac-Born-Infeld action. Using the Silverstein-Tong model, we analyze the Wheeler-DeWitt equation for the rolling scalar…

高能物理 - 理论 · 物理学 2009-11-11 Anastasios Psinas

The stability of the minisuperspace model of the early universe is studied by solving the Wheeler-DeWitt equation numerically. We consider a system of Einstein gravity with a scalar field. When we solve the Wheeler-DeWitt equation, we pick…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Atushi Ishikawa , Toshiki Isse

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 offer a new proposal for cosmic singularity resolution based upon a quantum cosmology with a unitary bounce. This proposal is illustrated via a novel quantization of a mini-superspace model in which there can be superpositions of the…

广义相对论与量子宇宙学 · 物理学 2018-12-17 Sean Gryb , Karim P. Y. Thébault

We consider the Einstein-Dirac system for a massive field, which describes the evolution of self-gravitating massive spinor fields, and we investigate the global evolution problem, when the initial data set is sufficiently close to data…

广义相对论与量子宇宙学 · 物理学 2025-10-24 Philippe G. LeFloch , Yue Ma , Weidong Zhang
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