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The Newtonian Lagrangian perturbation theory is a widely used framework to study structure formation in cosmology in the nonlinear regime. We review a general-relativistic formulation of such a perturbation approach, emphasizing results on…

广义相对论与量子宇宙学 · 物理学 2022-11-10 Thomas Buchert , Ismael Delgado Gaspar , Jan J. Ostrowski

As a classical approach, the dynamics of the Universe, influenced by its dark components, are unveiled through prior modifications of Einstein's equations. Cosmography, on the other hand, is a highly efficient tool for reconstructing any…

广义相对论与量子宇宙学 · 物理学 2024-07-19 Sai Swagat Mishra , N. S. Kavya , P. K. Sahoo , V. Venkatesha

It is shown that cosmological equations for homogeneous isotropic models deduced in the framework of the Poincar\'e gauge theory of gravity by certain restrictions on indefinite parameters of gravitational Lagrangian take at asymptotics the…

广义相对论与量子宇宙学 · 物理学 2009-09-29 A. V. Minkevich

The cosmological reconstruction scheme for modified $F(R)$ gravity is developed in terms of e-folding (or, redshift). It is demonstrated how any FRW cosmology may emerge from specific $F(R)$ theory. The specific examples of well-known…

高能物理 - 理论 · 物理学 2014-11-20 Shin'ichi Nojiri , Sergei D. Odintsov , Diego Saez-Gomez

We study linear cosmological perturbations in the most general teleparallel gravity setting, where gravity is mediated by the torsion and nonmetricity of a flat connection alongside the metric. For a general linear perturbation of this…

广义相对论与量子宇宙学 · 物理学 2023-12-22 Lavinia Heisenberg , Manuel Hohmann

We investigate a systematic approach to include curvature corrections to the isometry algebra of flat space-time order-by-order in the curvature scale. The Poincar\'e algebra is extended to a free Lie algebra, with generalised boosts and…

高能物理 - 理论 · 物理学 2020-10-28 Joaquim Gomis , Axel Kleinschmidt , Diederik Roest , Patricio Salgado-Rebolledo

In this work, we consider an extension of symmetric teleparallel gravity, namely, $f(Q)$ gravity, where the fundamental block to describe spacetime is the nonmetricity, $Q$. Within this formulation of gravitation, we perform an…

广义相对论与量子宇宙学 · 物理学 2019-11-15 Ruth Lazkoz , Francisco S. N. Lobo , María Ortiz-Baños , Vincenzo Salzano

In this paper we discuss the effect of local inhomogeneities on the global expansion of nearly FLRW universes, in a perturbative setting. We derive a generic linearized averaging operation for metric perturbations from basic assumptions,…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Jelle Boersma

We go on in the program of investigating the removal of divergences of a generical quantum gauge field theory, in the context of the Batalin-Vilkovisky formalism. We extend to open gauge-algebrae a recently formulated algorithm, based on…

高能物理 - 理论 · 物理学 2010-04-06 Damiano Anselmi

The "dark energy" problem is investigated in the framework of the Poincare gauge theory of gravity in 4-dimensional Riemann-Cartan space-time. By using general expression for gravitational Lagrangian homogeneous isotropic cosmological…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. V. Minkevich , A. S. Garkun , V. I. Kudin

In this paper the extension of the functional setting customarily adopted in General Relativity (GR) is considered. For this purpose, an explicit solution of the so-called Einstein's\ Teleparallel problem is sought. This is achieved by a…

广义相对论与量子宇宙学 · 物理学 2016-01-18 Massimo Tessarotto , Claudio Cremaschini

We employ Maxwell's equations formulated in Space-Time Algebra to perform discretization of moving geometries directly in space-time. All the derivations are carried out without any non-relativistic assumptions, thus the application area of…

计算工程、金融与科学 · 计算机科学 2016-11-23 Mariusz Klimek , Stefan Kurz , Sebastian Schoeps , Thomas Weiland

An approach to renormalization of scalar fields on the Doplicher-Fredenhagen-Roberts (DFR) quantum spacetime is presented. The effective non-local theory obtained through the use of states of optimal localization for the quantum spacetime…

数学物理 · 物理学 2024-05-20 J. F. López , A. F. Reyes-Lega

The universal character of the gravitational interaction provided by the equivalence principle motivates a geometrical description of gravity. The standard formulation of General Relativity \`a la Einstein attributes gravity to the…

广义相对论与量子宇宙学 · 物理学 2021-04-13 Jose Beltrán Jiménez , Lavinia Heisenberg , Tomi Sebastian Koivisto , Simon Pekar

Loop quantum cosmology is a tentative approach to model the universe down to the Planck era where quantum gravity settings are needed. The quantization of the universe as a dynamical space-time is inspired by Loop Quantum Gravity ideas. In…

广义相对论与量子宇宙学 · 物理学 2016-08-03 J. Grain

We present a general covariant action for massive gravity merging together a class of "non-polynomial" and super-renormalizable or finite theories of gravity with the non-local theory of gravity recently proposed by Jaccard, Maggiore and…

高能物理 - 理论 · 物理学 2013-11-08 Leonardo Modesto , Shinji Tsujikawa

We experience some challenges in general gravitational theory owing to Einstein to explain late time acceleration of universe. To address this issue, geometric components of gravity have been modified in quite a few occasions to have a more…

广义相对论与量子宇宙学 · 物理学 2024-10-04 Santanu Das , Nilanjana Mahata , Priyanka Ray

New corrections to General Relativity are considered in the context of modified $f(R)$ gravity, that satisfy cosmological and local gravity constraints. The proposed models behave asymptotically as $R-2\Lambda$ at large curvature and show…

广义相对论与量子宇宙学 · 物理学 2022-01-13 L. N. Granda

We construct a three-dimensional, fully relativistic numerical model of a universe filled with an inhomogeneous pressureless fluid, starting from initial data that represent a perturbation of the Einstein-de Sitter model. We then measure…

广义相对论与量子宇宙学 · 物理学 2016-10-11 Eloisa Bentivegna , Marco Bruni

The present work deals with scalar field cosmology in the framework of a quantum gravity modified Einstein-Hilbert Lagrangian with variable $G$ and $\Lambda$. Using Renormalization group, variable $G$ behaves as a minimally coupled filed…

广义相对论与量子宇宙学 · 物理学 2019-11-22 Santu Mondal , Sourav Dutta , Subenoy Chakraborty