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The basic problem of quantum cosmology is the definition of the quantum state of the universe, with appropriate boundary conditions on Riemannian three-geometries. This paper describes recent progress in the corresponding analysis of…

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

In the framework of a model of minimal of dilatonic gravity (MDG) with cosmological potential we consider: the relations of MDG with nonlinear gravity and string theory; natural cosmological units, defined by cosmological constant; the…

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

Minisuperpace Quantum Cosmology is an approach by which it is possible to infer initial conditions for dynamical systems which can suitably represent observable and non-observable universes. Here we discuss theories of gravity which, from…

广义相对论与量子宇宙学 · 物理学 2022-03-16 Salvatore Capozziello , Francesco Bajardi

We show how the scalar field, a candidate of quintessence, in a proposed model of the scalar-tensor theories of gravity provides a way to understand a small but nonzero cosmological constant as indicated by recent observations. A particular…

广义相对论与量子宇宙学 · 物理学 2009-09-25 Yasunori Fujii

Time-symmetric cosmological theories, in which the initial and final states are arranged to have similar features or are independently fixed, have been quite extensively discussed in the literature. However, a more general and perhaps more…

广义相对论与量子宇宙学 · 物理学 2012-04-20 Adrian Kent

In physical theories, boundary or initial conditions play the role of selecting special situations which can be described by a theory with its general laws. Cosmology has long been suspected to be different in that its fundamental theory…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Martin Bojowald

The Wheeler-DeWitt equation of Friedmann models with a massless quantum field is formulated with arbitrary factor ordering of the Hamiltonian constraint operator. A scalar product of wave functions is constructed, giving rise to a…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Roman Steigl , Franz Hinterleitner

We study cosmological perturbation theory with scalar field and pressureless dust in the Hamiltonian formulation, with the dust field chosen as a matter-time gauge. The corresponding canonical action describes the dynamics of the scalar…

广义相对论与量子宇宙学 · 物理学 2021-01-04 Viqar Husain , Mustafa Saeed

We review the Eulerian description of hidrodynamics using Seliger-Whitham's formalism (in classical case) and Schutz's formalism (in relativistic case). In these formalisms, the velocity field of a perfect fluid is described by scalar…

广义相对论与量子宇宙学 · 物理学 2016-12-06 F. G. Alvarenga , R. Fracalossi , R. G. Furtado , S. V. B. Gonçalves

In the Kaluza-Klein model with a cosmological constant and a flux, the external spacetime and its dimension of the created universe from a $S^s \times S^{n-s}$ seed instanton can be identified in quantum cosmology. One can also show that in…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Z. C. Wu

The late time accelerated expansion of the universe can be realized using scalar fields with given self-interacting potentials. Here we consider a straightforward approach where a three cosmic fluid mixture is assumed. The fluids are…

广义相对论与量子宇宙学 · 物理学 2018-07-25 Parth Shah , Gauranga C. Samanta , Salvatore Capozziello

The classical and quantum models of the Friedmann universe originally filled with a scalar field and radiation have been studied. The radiation has been used to specify a reference frame that makes it possible to remove ambiguities in…

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

We study the classical and quantum models of a flat Friedmann-Robertson-Walker (FRW) space-time, coupled to a perfect fluid, in the context of the consensus and a gauge-fixed Lagrangian frameworks. It is shown that, either in the usual or…

广义相对论与量子宇宙学 · 物理学 2015-03-19 Babak Vakili

In many interesting models, including superstring theories, a negative vacuum energy is predicted. Although this effect is usually regarded as undesirable from a cosmological point of view, we show that this can be the basis for a new…

广义相对论与量子宇宙学 · 物理学 2007-05-23 E. I. Guendelman , A. B. Kaganovich

Building upon our recently established correspondence between quantum cosmology and the hydrogen atom [1], we investigate the specific sector of a negative cosmological constant ($\Lambda < 0$) in a flat FLRW universe with dust. While the…

广义相对论与量子宇宙学 · 物理学 2026-01-29 Dipayan Mukherjee , Harkirat Singh Sahota , S. Shankaranarayanan

The quantization of gravity coupled to a perfect fluid model leads to a Schr\"odinger-like equation, where the matter variable plays the role of time. The wave function can be determined, in the flat case, for an arbitrary barotropic…

广义相对论与量子宇宙学 · 物理学 2009-11-07 A. B. Batista , J. C. Fabris , S. V. B. Goncalves , Joel Tossa

We present exact quantum solutions for a noncommutative, multidimensional cosmological model and show that stabilization of extra dimensions sets in with the introduction of noncommutativity between the scale factors. An interpretation is…

广义相对论与量子宇宙学 · 物理学 2008-11-26 N. Khosravi , S. Jalalzadeh , H. R. Sepangi

Quantum cosmology offers a unique stage to address questions of time related to its underlying (and perhaps truly quantum dynamical) meaning as well as its origin. Some of these issues can be analyzed with a general scheme of quantum…

广义相对论与量子宇宙学 · 物理学 2012-07-25 Martin Bojowald

An analogy between non-relativistic quantum mechanics in the Madelung formulation and quantum geometrodynamics in the case of the maximally symmetric space is drawn. The equations equivalent to the continuity equation and the hydrodynamic…

广义相对论与量子宇宙学 · 物理学 2025-07-29 V. E. Kuzmichev , V. V. Kuzmichev

In this work, we provide some simple analytical solutions to the Wheeler-DeWitt equation for the minisuperspace applied to de Broglie-Bohmian quantum cosmology for particular potentials of a scalar matter field $\phi$. One solution…

广义相对论与量子宇宙学 · 物理学 2023-01-18 Chia-Min Lin