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In this article, it is shown how the extended conformal Einstein field equations and a gauge based on the properties of conformal geodesics can be used to analyse the non-linear stability of de Sitter-like spacetimes with spatial sections…

General Relativity and Quantum Cosmology · Physics 2024-08-09 Marica Minucci , Juan Antonio Valiente Kroon

Recently the global variation of the Planck mass in the General Relativistic Einstein-Hilbert action was proposed as a self-tuning mechanism of the cosmological constant preventing vacuum energy from freely gravitating. We show that this…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Daniel Sobral-Blanco , Lucas Lombriser

A general analysis of the induced brane dynamics is performed when the intrinsic curvature term is included in the action. Such a term is known to cause dramatic changes and is generically induced by quantum corrections coming from the bulk…

High Energy Physics - Theory · Physics 2010-05-28 Georgios Kofinas

We investigate the effect of the bulk gravitational field on the cosmological perturbations on a brane embedded in the 5D Anti-de Sitter (AdS) spacetime. The effective 4D Einstein equations for the scalar cosmological perturbations on the…

High Energy Physics - Theory · Physics 2009-11-07 Kazuya Koyama , Jiro Soda

We present the effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the $Z_2$ symmetric brane. Applying…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Kei-ichi Maeda , Shuntaro Mizuno , Takashi Torii

We consider a solution of the effective four-dimensional Einstein equations, obtained from the general relativistic Schwarzschild metric through the principle of Minimal Geometric Deformation (MGD). Since the brane tension can, in general,…

High Energy Physics - Theory · Physics 2016-11-11 Roberto Casadio , Roldao da Rocha

We prove existence and uniqueness of solutions of the semiclassical Einstein equation in flat cosmological spacetimes driven by a quantum massive scalar field with arbitrary coupling to the scalar curvature. In the semiclassical…

Mathematical Physics · Physics 2021-11-24 Paolo Meda , Nicola Pinamonti , Daniel Siemssen

We consider tensor-vector theories with varying the space-time-matter coupling constant (varying Einstein velocity) in a spatially flat FRW universe. We examine the dynamics of this model by dynamical system method assuming a \Lambda CDM…

General Physics · Physics 2015-06-11 Azam Izadi , Ali Shojai , Mojtaba Nouradini

We investigate maximally symmetric brane world solutions with a scalar field. Five-dimensional bulk gravity is described by a general lagrangian which yields field equations containing no higher than second order derivatives. This includes…

High Energy Physics - Theory · Physics 2009-11-10 Christos Charmousis , Stephen C. Davis , Jean-Francois Dufaux

We present a covariant study of static space-times, as such and as solutions of gravity theories. By expressing the relevant tensors through the velocity and the acceleration vectors that characterise static space-times, the field equations…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Carlo Alberto Mantica , Luca Guido Molinari

We consider a model of brane world gravity in the context of non-conformal non-SUSY matter. In particular we modify the earlier strong coupling solution to the glueball spectrum in an $AdS^7$ Black Hole by introducing a Randall-Sundrum…

High Energy Physics - Theory · Physics 2015-06-26 Richard C. Brower , Samir D. Mathur , Chung-I Tan

Gravitational stability of torsion and inflaton field in a four-dimensional spacetime de Sitter solution in scalar-tensor cosmology where Cartan torsion propagates is investigated in detail. Inflaton and torsion evolution equations are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

We study two exactly solvable five-dimensional thick brane world models in pure metric $f(R)$ gravity. Working in the Einstein frame, we show that these solutions are stable against small linear perturbations, including the tensor, vector,…

High Energy Physics - Theory · Physics 2016-06-20 Yuan Zhong , Yu-Xiao Liu

Einstein--Cartan theory is a generalization of general relativity that introduces spacetime torsion. In this paper, we perform phase space analysis to investigate the evolution of the early universe in Einstein--Cartan theory. By studying…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Qihong Huang , He Huang , Bing Xu , Kaituo Zhang

In this paper we consider an extension to Eddington's proposal for the gravitational action. We study tensor perturbations of a homogeneous and isotropic space-time in the Eddington regime, where modifications to Einstein gravity are…

General Relativity and Quantum Cosmology · Physics 2012-05-08 Celia Escamilla-Rivera , Maximo Banados , Pedro G. Ferreira

The modification to four--dimensional Einstein gravity at low energy in two brane models is investigated within supergravity in singular spaces. Using perturbation theory around a static BPS background, we study the effective…

High Energy Physics - Theory · Physics 2009-11-07 P. Brax , C. van de Bruck , A. C. Davis , C. S. Rhodes

The effective four-dimensional, linearised gravity of a brane world model with one extra dimension and a single brane is analysed. The model includes higher order curvature terms (such as the Gauss-Bonnet term) and a conformally coupled…

High Energy Physics - Theory · Physics 2009-11-10 Stephen C. Davis

AdS/CFT induced quantum dilatonic brane-world where 4d boundary is flat or de Sitter (inflationary) or Anti-de Sitter brane is considered. The classical brane tension is fixed but boundary QFT produces the effective brane tension via the…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Octavio Obregon , Sergei D. Odintsov , Vladimir I. Tkach

Starting from the assumption that general relativity might be an emergent phenomenon showing up at low-energies from an underlying microscopic structure, we re-analyze the stability of a static closed Universe filled with radiation. In this…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Carlos Barcelo , Grigory Volovik

The averaging problem in cosmology and the approach of macroscopic gravity to resolve the problem is discussed. The averaged Einstein equations of macroscopic gravity are modified on cosmological scales by the macroscopic gravitational…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roustam Zalaletdinov