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The linear cosmological perturbation theory of an almost homogeneous and isotropic perfect fluid universe is reconsidered and formally simplified by introducing new covariant and gauge-invariant variables with physical interpretations on…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Winfried Zimdahl

We investigate the appropriateness of the use of different Lagrangians to describe various components of the cosmic energy budget, discussing the degeneracies between them in the absence of nonminimal couplings to gravity or other fields,…

宇宙学与河外天体物理 · 物理学 2020-09-23 V. M. C. Ferreira , P. P. Avelino , R. P. L. Azevedo

We derive the equations of linear cosmological perturbations for the general Lagrangian density $f (R,\phi, X)/2+L_c$, where $R$ is a Ricci scalar, $\phi$ is a scalar field, and $X=-(\nabla \phi)^2/2$ is a field kinetic energy. We take into…

宇宙学与河外天体物理 · 物理学 2010-10-12 Antonio De Felice , Shinji Mukohyama , Shinji Tsujikawa

In this work, we consider different forms of relativistic perfect fluid Lagrangian densities, that yield the same gravitational field equations in General Relativity. A particularly intriguing example is the case with couplings of the form…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Orfeu Bertolami , Francisco S. N. Lobo , Jorge Páramos

The present lecture notes address three columns on which the Lagrangian perturbation approach to cosmological dynamics is based: 1. the formulation of a Lagrangian theory of self--gravitating flows in which the dynamics is described in…

天体物理学 · 物理学 2007-05-23 T. Buchert

We study a three-component universe filled with dust-like matter in the form of discrete inhomogeneities (e.g., galaxies) and perfect fluids characterized by linear and nonlinear equations of state. Within the cosmic screening approach, we…

广义相对论与量子宇宙学 · 物理学 2021-03-25 Ezgi Canay , Ruslan Brilenkov , Maxim Eingorn , A. Savaş Arapoğlu , Alexander Zhuk

The Lagrangian theory of structure formation in cosmological fluids, restricted to the matter model ``dust'', provides successful models of large-scale structure in the Universe in the laminar regime, i.e., where the fluid flow is…

天体物理学 · 物理学 2011-05-23 Susanne Adler , Thomas Buchert

We consider a system of interacting spinor and scalar fields in a gravitational field given by a Bianchi type-I cosmological model filled with perfect fluid. The interacting term in the Lagrangian is chosen in the form of derivative…

广义相对论与量子宇宙学 · 物理学 2015-05-01 Bijan Saha , Todor Boyadjiev

We discuss various analytical approximation methods for the evolution of the density fluctuation in the Universe. From primordial density fluctuation, the large-scale structure is formed via its own self-gravitational instability. For this…

天体物理学 · 物理学 2007-05-23 Takayuki Tatekawa

It is widely acknowledged that, for formal purposes, a minimally coupled scalar field is equivalent to an effective perfect fluid with equation of state determined by the scalar potential. This correspondence is not complete because the…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Valerio Faraoni

We explore the possibility that a scalar field with appropriate Lagrangian can mimic a perfect fluid with an affine barotropic equation of state. The latter can be thought of as a generic cosmological dark component evolving as an effective…

天体物理学 · 物理学 2008-11-26 Claudia Quercellini , Marco Bruni , Amedeo Balbi

Scalar cosmological perturbations are investigated in the framework of a model with interacting dark energy and dark matter. In addition to these constituents, the inhomogeneous Universe is supposed to be filled with the standard…

广义相对论与量子宇宙学 · 物理学 2015-07-24 Maxim Eingorn , Claus Kiefer

We develop the Lagrangian perturbation theory in the general relativistic cosmology, which enables us to take into account the vortical effect of the dust matter. Under the Lagrangian representation of the fluid flow, the propagation…

天体物理学 · 物理学 2009-10-31 Hideki Asada , Masumi Kasai

The evolution of density perturbations is analysed in a modified theory of gravity with a nonminimal coupling between curvature and matter. We consider the broken degeneracy between the choices of matter Lagrangian for a perfect fluid,…

广义相对论与量子宇宙学 · 物理学 2026-01-26 Miguel Barroso Varela , Orfeu Bertolami

We develop a cosmological model based on action-dependent Lagrangian theories. The main feature here is the nonconservation of the energy momentum tensor due to the nontrivial geometrical construction of the theory. We provide the basic set…

广义相对论与量子宇宙学 · 物理学 2018-11-05 Thiago R. P. Caramês , H. Velten , J. C. Fabris , Matheus J. Lazo

The evolution of scalar perturbations is studied for 2-component (non-relativistic matter and dark energy) cosmological models at the linear and non-linear stages. The dark energy is assumed to be the scalar field with either classical or…

天体物理学 · 物理学 2015-05-13 O. Sergijenko , Yu. Kulinich , B. Novosyadlyj , V. Pelykh

In the framework of special relativity (SR), I propose that matter conformally couples to a scalar field through the Lagrangian density of matter, whether matter is characterized by classical or by quantum (statistical) mechanics. The…

广义相对论与量子宇宙学 · 物理学 2022-10-20 Hai-Chao Zhang

The accelerated expansion of the universe is a rather established fact in cosmology and many different models have been proposed as a viable explanation. Many of these models are based on the standard general relativistic framework of…

广义相对论与量子宇宙学 · 物理学 2016-05-20 N. Nazari-Pooya , M. Malekjani , F. Pace , D. Mohammad-Zadeh Jassur

A novel routine to investigate the scalar fields in a cosmological context is discussed in the framework of the Hamiltonian formalism. Starting from the Einstein-Hilbert action coupled to a Lagrangian density that contains two components -…

广义相对论与量子宇宙学 · 物理学 2013-09-16 Alex E. Bernardini , O. Bertolami

We examine the scenario of non-minimally coupled relativistic fluid and $k$-essence scalar field in a flat Friedmann-Lemaitre-Robertson-Walker universe. By adding a non-minimal coupling term in the Lagrangian level, we study the variation…

广义相对论与量子宇宙学 · 物理学 2024-07-23 Anirban Chatterjee , Saddam Hussain , Kaushik Bhattacharya