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Space-time quantum contributions to the classical Einstein equations of General Relativity are determined. The theoretical background is provided by the non-perturbative theory of manifestly-covariant quantum gravity and the…

广义相对论与量子宇宙学 · 物理学 2018-07-18 Claudio Cremaschini , Massimo Tessarotto

We study a set of static solutions of the Einstein equations in presence of a massless scalar field and establish their connection to the Kantowski-Sachs cosmological solutions based on some kind of duality transformations. The physical…

广义相对论与量子宇宙学 · 物理学 2009-11-11 M. Gaudin , V. Gorini , A. Kamenshchik , U. Moschella , V. Pasquier

We consider the possibility of describing the Higgs effect in unified theories without the Higgs potential in the presence of the Einstein gravity with the conformal gravity-scalar coupling under the assumption of homogeneous matter…

广义相对论与量子宇宙学 · 物理学 2007-05-23 V. N. Pervushin , V. I Smirichinski

At present, there is practically no doubt that general relativity is closely related to gravity. Moreover, after the work of Jacobson, Padmanabhan and others, it became clear that a thermodynamic interpretation of Einstein's relativistic…

广义相对论与量子宇宙学 · 物理学 2024-03-19 Yu. L. Bolotin , V. V. Yanovsky

Coupling any interacting quantum mechanical system to gravity in one dimension requires the cosmological constant to belong to the matter energy spectrum and thus to be quantized, even though the gravity sector is free of any quantum…

高能物理 - 理论 · 物理学 2007-05-23 Jan Govaerts

Hamiltonian mechanics of field theory can be formulated in a generally covariant and background independent manner over a finite dimensional extended configuration space. The physical symplectic structure of the theory can then be defined…

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

Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of elementary excitations of space. Their treatment is easiest in the second-quantised group field theory formalism which allows the adaptation of…

广义相对论与量子宇宙学 · 物理学 2014-07-24 Steffen Gielen

In recent years several ideas for experimental searches of effects induced by quantum properties of space-time have been discussed. Some of these ideas concern the role in quantum spacetime of the ordinary Lorentz symmetry of classical flat…

天体物理学 · 物理学 2007-05-23 Giovanni Amelino-Camelia

Quantum Cosmology and Gravity are formulated here as the primary and secondary quantizations of the energy constraints by analogy with the historical formulation of quantum field theory. New fact is that both the Universe and its matter are…

广义相对论与量子宇宙学 · 物理学 2008-11-26 V. N. Pervushin , V. A. Zinchuk

The central equation of quantum gravity is the Wheeler-DeWitt equation. We give an argument suggesting that exact solutions of this equation give a surface in the space of coupling constants. This provides a mechanism for determining the…

广义相对论与量子宇宙学 · 物理学 2018-11-02 Viqar Husain , Suprit Singh

Loop quantum gravity and cosmology are reviewed with an emphasis on evaluating the dynamics, rather than constructing it. The three crucial parts of such an analysis are (i) deriving effective equations, (ii) controlling the theory's…

广义相对论与量子宇宙学 · 物理学 2011-01-31 Martin Bojowald

A two dimensional matter coupled model of quantum gravity is studied in the Dirac approach to constrained dynamics in the presence of a cosmological constant. It is shown that after partial fixing to the conformal gauge the requirement of a…

高能物理 - 理论 · 物理学 2011-08-29 Jan Govaerts , Simone Zonetti

Heisenberg's nonperturbative quantization technique is applied to the nonpertrubative quantization of gravity. An infinite set of equations for all Green's functions is obtained. An approximation is considered where: (a) the metric remains…

广义相对论与量子宇宙学 · 物理学 2014-11-07 Vladimir Dzhunushaliev

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

According to Belinsky, Khalatnikov and Lifshitz, gravity near a space-like singularity reduces to a set of decoupled one-dimensional mechanical models at each point in space. We point out that these models fall into a class of conformal…

高能物理 - 理论 · 物理学 2009-11-07 B. Pioline , A. Waldron

We perform canonical quantization of General Relativity, as an effective quantum field theory below the Planck scale, within the BRST-invariant framework. We show that the promotion of constraints to dynamical equations of motion for…

高能物理 - 理论 · 物理学 2024-09-30 Lasha Berezhiani , Gia Dvali , Otari Sakhelashvili

In quantum cosmology, one has to select a specific wave function solution of the quantum state equations under consideration in order to obtain concrete results. The simplest choices have been already explored, in different frameworks,…

广义相对论与量子宇宙学 · 物理学 2021-09-06 P. C. M. Delgado , N. Pinto-Neto

We consider a spatially homogeneous and isotropic cosmological model where Dirac spinors are coupled to classical gravity. For the Dirac spinors we choose a Hartree-Fock ansatz where all one-particle wave functions are coherent and have the…

数学物理 · 物理学 2014-04-23 Felix Finster , Christian Hainzl

Physical spacetime geometry follows from some effective thermodynamics of quantum states of all fields and particles described in frames of General Relativity. In the sense of pure field theoretical Einstein's point of view on gravitation…

广义相对论与量子宇宙学 · 物理学 2008-08-27 L. A. Glinka

We investigate quantum cosmology in teleparallel $f(T)$-gravity. We delve extensively into the minisuperspace description within the context of teleparallelism. The $f(T)$-theory constitutes a second-order theory of gravity, whose…

广义相对论与量子宇宙学 · 物理学 2023-12-27 N. Dimakis , A. Paliathanasis , T. Christodoulakis