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We investigate the metric perturbations of the restricted f(R) theory of gravity in the cosmological context and explore the phenomenological implications of this model. We show that it is possible to construct a restricted model of…

General Relativity and Quantum Cosmology · Physics 2017-04-12 M. Chaichian , A. Ghalee , J. Kluson

Gravitational waves in isotropic cosmologies were recently studied using the gauge-invariant approach of Ellis-Bruni. We now construct the linearised metric perturbations of the background Robertson-Walker space-time which reproduce the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 E. M. O'Shea

While homogeneous cosmologies have long been studied in the group field theory (GFT) approach to quantum gravity, including a quantum description of cosmological perturbations is highly non-trivial. Here we apply a recent proposal for…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Steffen Gielen , Lisa Mickel

Relativistic cosmological perturbation analyses can be made based on several different fundamental gauge conditions. In the pressureless limit the variables in certain gauge conditions show the correct Newtonian behaviors. Considering the…

Astrophysics · Physics 2015-06-24 J. Hwang , H. Noh

Using the covariant approach and conformal transformations, we present a gauge-invariant formalism for cosmological perturbations in generalized Einstein theories (GETs), including the Brans-Dicke theory, theories with a non-minimally…

Astrophysics · Physics 2010-11-01 Toshinari Hirai , Kei-ichi Maeda

We present a gauge invariant argument that a nonlocal measure of second-order metric and matter perturbations dominate that of linear fluctuations in its effect on the gravitational field in 'slow-rolling' spacetimes.

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Losic , W. G. Unruh

We consider anisotropic magnetized cosmologies filled with conductive plasma fluid and study the implications of metric perturbations that propagate parallel to the ambient magnetic field. It is known that in the first order (linear)…

General Relativity and Quantum Cosmology · Physics 2010-10-27 A Kuiroukidis , K Kleidis , D B Papadopoulos

Measurements of CMB anisotropy and, more recently, polarization have played a very important role allowing precise determination of various parameters of the `standard' cosmological model. The expectation of the paradigm of inflation and…

Astrophysics · Physics 2008-11-26 Tarun Souradeep

The aim of these lecture notes is to familiarize graduate students and beginning postgraduates with the basic ideas of linear cosmological perturbation theory and of structure formation scenarios. We present both the Newtonian and the…

Astrophysics · Physics 2010-12-09 Christos G. Tsagas

An exact inhomogeneous solution of Einstein's field equations is shown to be able to inflate in a non-uniform way in the early universe and explain anomalies in the WMAP power spectrum data. It is also possible for the model to explain the…

Astrophysics · Physics 2007-06-13 J. W. Moffat

Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into gauge-invariant and gauge-variant…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Kouji Nakamura

Advantages of inhomogeneous cosmological models that are exact solutions of Einstein's equations over linearised perturbations of homogeneous models are presented. Examples of effects that can be described in the inhomogeneous ones are…

General Relativity and Quantum Cosmology · Physics 2011-12-05 Andrzej Krasiński

We consider perturbations in the isotropic and homogeneous cosmological model with the spatially flat Friedmann-Lemaitre-Robertson-Walker metric in the framework of the theory of gravity with non-minimal derivative coupling. The Lagrangian…

General Relativity and Quantum Cosmology · Physics 2026-05-14 R. I. Kamalitdinov , S. V. Sushkov

We study a universe filled with dust-like matter in the form of discrete inhomogeneities (e.g., galaxies and their groups and clusters) and two sets of perfect fluids with linear and nonlinear equations of state, respectively. The…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Maxim Eingorn , Claus Kiefer , Alexander Zhuk

We study primordial perturbations generated from quantum fluctuations of an inflaton based on the formalism of stochastic gravity. Integrating out the degree of freedom of the inflaton field, we analyze the time evolution of the correlation…

High Energy Physics - Theory · Physics 2008-11-26 Yuko Urakawa , Kei-ichi Maeda

The accelerating expansion of the Universe poses a major challenge to our understanding of fundamental physics. One promising avenue is to modify general relativity and obtain a new description of the gravitational force. Because…

General Relativity and Quantum Cosmology · Physics 2015-08-28 Adam R. Solomon

One essence in capturing the history of primordial fluctuations that arise during inflation and eventually lead to formation of large scale structures in the universe, relies on quantizing general relativity coupled to a scalar field. This…

High Energy Physics - Theory · Physics 2018-07-24 Gizem Sengor

We consider a cosmology in which a spherically symmetric large scale inhomogeneous enhancement or a void are described by an inhomogeneous metric and Einstein's gravitational equations. For a flat matter dominated universe the inhomogeneous…

Astrophysics · Physics 2008-11-26 J. W. Moffat

An implicit fundamental assumption in relativistic perturbation theory is that there exists a parametric family of spacetimes that can be Taylor expanded around a background. The choice of the latter is crucial to obtain a manageable…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Marco Bruni , Leonardo Gualtieri , Carlos F. Sopuerta

Problem of cosmological singularity is discussed in the framework of gauge theories of gravitation. Generalizing cosmological Friedmann equations (GCFE) for homogeneous isotropic models including scalar fields and usual gravitating matter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Minkevich
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