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We revisit nonsingular cosmologies in which the limiting curvature hypothesis is realized. We study the cosmological perturbations of the theory and determine the general criteria for stability. For the simplest model, we find generic…

High Energy Physics - Theory · Physics 2017-08-08 Daisuke Yoshida , Jerome Quintin , Masahide Yamaguchi , Robert H. Brandenberger

Motivated by the isotropy of the CMB spectrum, all existing studies of magnetised cosmological perturbations employ FRW backgrounds. However, it is important, to know the limits of this approximation and the effects one loses by neglecting…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Christos Tsagas , Roy Maartens

We study FRW cosmology for a double scalar - tensor theory of gravity where two scalar fields are nonminimally coupled to the geometry. In a framework to study stability and attractor solutions of the model in the phase space, we constraint…

General Physics · Physics 2015-06-03 H. Farajollahi , A. Shahabi , A. Salehi

The study of stability of gravitational perturbations in higher derivative gravity has shown that at the linear level the massive unphysical ghost is not generated from vacuum if the initial seed of metric perturbation has frequency…

General Relativity and Quantum Cosmology · Physics 2019-09-11 Simpliciano Castardelli dos Reis , Grigori Chapiro , Ilya L. Shapiro

We construct the complete set of metric-configuration solutions of the ghost-free massive bigravity for the scenario in which the g-metric is the Friedmann-Lemaitre-Robertson-Walker (FLRW) one, and the interaction Lagrangian between the two…

High Energy Physics - Theory · Physics 2015-10-07 Nejat Tevfik Yilmaz

Using numerical methods, we examine the dynamics of nonlinear perturbations in the expanding time direction, under a Gowdy symmetry assumption, of FLRW fluid solutions to the Einstein-Euler equations with a positive cosmological constant…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Florian Beyer , Elliot Marshall , Todd A. Oliynyk

Cosmological perturbations on a manifold admitting signature change are studied. The background solution consists in a Friedmann-Lemaitre-Robertson- Walker (FLRW) Universe filled by a constant scalar field playing the role of a cosmological…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jerome Martin

We study the non-linear stability of fixed-point solutions to the $\alpha'$-exact equations from O$(d,d)$ invariant cosmology, with and without matter perturbations. Previous non-linear analysis in the literature is revisited, and its…

High Energy Physics - Theory · Physics 2023-04-05 Heliudson Bernardo , Jan Chojnacki , Vincent Comeau

We study FRW homogeneous cosmological solutions in the recently found ghost free massive gravity. In previous works it was shown that when the additional extra metric, needed to generate the mass term, is taken as non-dynamical and flat, no…

High Energy Physics - Theory · Physics 2012-05-21 D. Comelli , M. Crisostomi , F. Nesti , L. Pilo

We study a previously largely unexplored branch of homogeneous and isotropic background solutions in ghost-free massive bigravity with consistent double matter coupling. For a certain family of parameters we find `self-inflated' FLRW…

General Relativity and Quantum Cosmology · Physics 2016-01-15 Macarena Lagos , Johannes Noller

We consider static cosmological solutions along with their stability properties in the framework of a recently proposed theory of massive gravity. We show that the modifcation introduced in the cosmological equations leads to several new…

General Relativity and Quantum Cosmology · Physics 2012-07-27 Luca Parisi , Ninfa Radicella , Gaetano Vilasi

Bianchi-type string cosmology involves generalizations of the FRW backgrounds with three transitive spacelike Killing symmetries, but without any a priori assumption of isotropy in the 3D sections of homogeneity. With emphasis on those…

High Energy Physics - Theory · Physics 2009-10-28 N. A. Batakis

We present a comprehensive analysis of classical scalar, vector and tensor cosmological perturbations in ghost-free massive bigravity. In particular, we find the full evolution equations and analytical solutions in a wide range of regimes.…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Macarena Lagos , Pedro G. Ferreira

We investigate a corner of the Bianchi models that has not received much attention: "extended FLRW models" (eFLRW) defined as a cosmological model with underlying anisotropic Bianchi geometry that nevertheless expands isotropically and can…

General Relativity and Quantum Cosmology · Physics 2020-02-21 Mikjel Thorsrud , Ben D. Normann , Thiago S. Pereira

Matrix models of Yang-Mills type lead to an emergent gravity theory, which may not require fine-tuning of a cosmological constant. We find cosmological solutions of Friedmann-Robertson-Walker type. They generically have a big bounce, and an…

General Relativity and Quantum Cosmology · Physics 2009-07-22 Daniela Klammer , Harold Steinacker

In this paper, we investigate three important issues: stability, ghost and strong coupling, in the Horava-Melby-Thompson setup of the Horava-Lifshitz theory with $\lambda \not= 1$, generalized recently by da Silva. We first develop the…

High Energy Physics - Theory · Physics 2011-05-13 Yongqing Huang , Anzhong Wang

We study cosmological applications of extended vector-tensor theories, whose Lagrangians contain up to two derivatives with respect to metric and vector field. We derive background equations under the assumption of homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2018-07-20 Ryotaro Kase , Rampei Kimura , Atsushi Naruko , Daisuke Yoshida

In this paper, we investigate anisotropic cosmological solutions within the framework of Born-Infeld-f(R) gravity, a modification of general relativity that incorporates higher-order curvature invariants. Specifically, we focus on the…

General Relativity and Quantum Cosmology · Physics 2025-01-06 Salih Kibaroğlu

We study linear perturbations of the Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model in the Regge-Wheeler formalism which is a standard framework to study perturbations of spherically-symmetric black holes. In particular, we…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Andrzej Rostworowski

We investigate gauge invariant cosmological perturbations in a spatially flat Friedman-Robertson-Walker universe with scalar fields. It is well known that the evolution equation for the gauge invariant quantities has exact solutions in the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yasusada Nambu , Atsushi Taruya