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We work on a 4-manifold equipped with Lorentzian metric $g$ and consider a volume-preserving diffeomorphism which is the unknown quantity of our mathematical model. The diffeomorphism defines a second Lorentzian metric $h$, the pullback of…

数学物理 · 物理学 2021-01-05 Matteo Capoferri , Dmitri Vassiliev

We study teleparallel gravitational theories with are invariant under the conformal transformations. Wide family of the gravitational Lagrangians that are invariant under conformal transformations have investigated. Cosmological solutions…

广义相对论与量子宇宙学 · 物理学 2014-06-24 Davood Momeni , Ratbay Myrzakulov

We propose a covariant, gauge-independent construction of foliation-based scalar-tensor theories, yielding diffeomorphism-invariant operators involving only gradients on the hypersurfaces where the scalar field is constant, assumed to be…

高能物理 - 理论 · 物理学 2026-04-13 Mohammad Ali Gorji , Pavel Petrov , Karim Noui

We consider a polymer quantization of a free massless scalar field in a homogeneous and isotropic cosmological spacetime. This quantization method assumes that field translations are fundamentally discrete, and is related to but distinct…

宇宙学与河外天体物理 · 物理学 2010-01-27 Golam Mortuza Hossain , Viqar Husain , Sanjeev S. Seahra

The Universe is homogeneous and isotropic on large scales, so on those scales it is usually modelled as a Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) space-time. The non-linearity of the Einstein field equations raises concern over…

广义相对论与量子宇宙学 · 物理学 2021-03-03 Yonadav Barry Ginat

A stiff matter-dominated universe modeled by a free massless scalar field minimally coupled to gravity in a Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) geometry is quantized. Generalized complex-width gaussian superpositions of the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Felipe T. Falciano , Nelson Pinto-Neto , E. Sergio Santini

We derive an exact $f(T)$ gravity in the absence of ordinary matter in Friedmann-Robertson-Walker (FRW) universe, where $T$ is the teleparallel torsion scalar. We show that vanishing of the energy-momentum tensor $\mathcal{T}^{\mu \nu}$ of…

高能物理 - 理论 · 物理学 2016-10-19 W. El Hanafy , G. L. Nashed

We study the cosmological evolution of massless single-field scalar-tensor theories of gravitation from the time before the onset of $e^+e^-$ annihilation and nucleosynthesis up to the present. The cosmological evolution together with the…

广义相对论与量子宇宙学 · 物理学 2011-09-09 D. I. Santiago , D. Kalligas , R. V. Wagoner

Combining elements of twistor-space, phase space and Clifford algebras, we propose a framework for the construction and quantization of certain (quadric) varieties described by Lorentz-covariant multivector coordiantes. The correspondent…

高能物理 - 理论 · 物理学 2018-04-11 Mauricio Valenzuela

We briefly review the arising of an inflationary phase in the Universe evolution in order to discuss an inhomogeneous cosmological solution in presence of a real self interacting scalar field minimally coupled to gravity in the region of a…

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

We consider a non singular origin for the Universe starting from an Einstein static Universe in the framework of a theory which uses two volume elements $\sqrt{-{g}}d^{4}x$ and $\Phi d^{4}x$, where $\Phi $ is a metric independent density,…

广义相对论与量子宇宙学 · 物理学 2013-06-24 E. I. Guendelman

We consider theories which break the invariance under diffeomorphisms (Diff) down to transverse diffeomorphisms (TDiff) in the matter sector, consisting of multiple scalar fields. In particular, we regard shift-symmetric models with two…

广义相对论与量子宇宙学 · 物理学 2025-01-17 Diego Tessainer , Antonio L. Maroto , Prado Martín-Moruno

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

A scalar--tensor theory of gravity, containing an arbitrary coupling function $F(\phi)$ and a general potential $V(\phi)$, is considered in the context of a spatially flat FLRW model. The use of reparametrization invariance enables a…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Petros A. Terzis , N. Dimakis , T. Christodoulakis

Scalar-tensor theory has arbitrary functions of the scalar field in front of the geometric and scalar terms in the Lagrangain. The extent to which these arbitrary functions appear in the Wheeler-deWitt wavefunction of mini-super…

广义相对论与量子宇宙学 · 物理学 2016-11-29 Mark D. Roberts

Multidimensionality of our Universe is one of the most intriguing assumption in modern physics. It follows naturally from theories unifying different fundamental interactions with gravity, e.g. M/string theory. The idea has received a great…

广义相对论与量子宇宙学 · 物理学 2011-12-01 Tamerlan Saidov

A simple and surprisingly realistic model of the origin of the universe can be developed using the Friedmann equation from general relativity, elementary quantum mechanics, and the experimental values of h, c, G and the proton mass. The…

广义相对论与量子宇宙学 · 物理学 2015-06-25 T. R. Mongan

We investigate the cosmological applications of new gravitational scalar-tensor theories, which are novel modifications of gravity possessing 2+2 propagating degrees of freedom, arising from a Lagrangian that includes the Ricci scalar and…

广义相对论与量子宇宙学 · 物理学 2016-06-22 Emmanuel N. Saridakis , Minas Tsoukalas

Realizations of scale invariance are studied in the context of a gravitational theory where the action (in the first order formalism) is of the form $S = \int L_{1} \Phi d^{4}x$ + $\int L_{2}\sqrt{-g}d^{4}x$ where $\Phi$ is a density built…

广义相对论与量子宇宙学 · 物理学 2009-10-31 E. I. Guendelman

A simple Lagrangian with squared covariant divergence of a vector field as a kinetic term turned out an adequate tool for macroscopic description of the dark sector. The zero-mass field acts as the dark energy. Its energy-momentum tensor is…

综合物理 · 物理学 2014-10-07 Boris E. Meierovich