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The homogeneous Friedman-Lema\^\i tre-Robertson-Walker (FLRW) cosmology of a free scalar field with vanishing cosmological constant was recently shown to be invariant under the one-dimensional conformal group $\textrm{SL}(2,\mathbb{R})$…

广义相对论与量子宇宙学 · 物理学 2020-09-17 Jibril Ben Achour , Etera R. Livine

We study the stability of a spherically symmetric perturbation around the flat Friedmann-Lema$\hat{\i}$tre-Robertson-Walker spacetime in the ghost-free bigravity theory, retaining nonlinearities of the helicity-$0$ mode of the massive…

高能物理 - 理论 · 物理学 2015-09-02 Katsuki Aoki , Kei-ichi Maeda , Ryo Namba

We construct exact non-perturbative massive solutions in the gravitational Higgs mechanism. They confirm the conclusions of arXiv:1102.4991, which are based on non-perturbative Hamiltonian analysis for the relevant metric degrees of…

高能物理 - 理论 · 物理学 2020-05-13 Zurab Kakushadze

We give a simple derivation of a cosmological bound on the graviton mass for spatially flat FRW solutions in massive gravity with an FRW reference metric and for bigravity theories. This bound comes from the requirement that the kinetic…

高能物理 - 理论 · 物理学 2015-06-16 Matteo Fasiello , Andrew J. Tolley

The Friedmann--Lema\^{\i}tre--Robertson--Walker (FLRW) solution to the Einstein-scalar field system with spatial topology $\mathbb{S}^3$ models a universe that emanates from a singular spacelike hypersurface (the Big Bang), along which…

偏微分方程分析 · 数学 2018-11-14 Jared Speck

We formulate cosmological perturbation theory around the spatially curved FLRW background in the context of metric-affine gauge theory of gravity which includes torsion and nonmetricity. Performing scalar-vector-tensor decomposition of the…

广义相对论与量子宇宙学 · 物理学 2024-07-18 Katsuki Aoki , Sebastian Bahamonde , Jorge Gigante Valcarcel , Mohammad Ali Gorji

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered. Their properties…

广义相对论与量子宇宙学 · 物理学 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

We provide a rigorous proof for the existence of homogeneous, isotropic and globally singularity-free cosmological solutions in Einstein-dilaton-Gauss-Bonnet (EdGB) gravity with exponential coupling. While numerical studies suggested such…

偏微分方程分析 · 数学 2025-12-02 Chihang He , Chao Liu

We show that the recent work of Lee [23] implies existence of a large class of new singularity-free strictly static Lorentzian vacuum solutions of the Einstein equations with a negative cosmological constant. This holds in all space-time…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Anderson , P. T. Chrusciel , E. Delay

In Ho\v{r}ava-Lifshitz gravity a scaling isotropic in space but anisotropic in spacetime, often called anisotropic scaling with the dynamical critical exponent z=3, lies at the base of its renormalizability. This scaling also leads to a…

高能物理 - 理论 · 物理学 2018-02-27 Sebastian F. Bramberger , Andrew Coates , João Magueijo , Shinji Mukohyama , Ryo Namba , Yota Watanabe

We investigate the classical stability of the higher-dimensional Schwarzschild black holes against linear perturbations, in the framework of a gauge-invariant formalism for gravitational perturbations of maximally symmetric black holes,…

高能物理 - 理论 · 物理学 2009-11-10 Akihiro Ishibashi , Hideo Kodama

In this paper, we study a projectable Ho\v{r}ava-Lifshitz cosmology without the detailed balance condition minimally coupled to a non-linear self-coupling scalar field. In the minisuperspace framework, the super Hamiltonian of the presented…

广义相对论与量子宇宙学 · 物理学 2021-02-25 Fatimah Tavakoli , Babak Vakili , Hossein Ardehali

In this work, we investigate the existence of analytic solutions of static scalar fields on Lifshitz spacetimes. We evade Derrick's theorem on curved spacetimes by breaking general covariance and use first-order formalism to obtain…

广义相对论与量子宇宙学 · 物理学 2022-08-25 Danilo C. Moreira

We study cosmological perturbations for a ghost free massive gravity theory formulated with a dynamical extra metric that is needed to massive deform GR. In this formulation FRW background solutions fall in two branches. In the dynamics of…

高能物理 - 理论 · 物理学 2012-07-12 Marco Crisostomi , Denis Comelli , Luigi Pilo

In this paper we study the flat (k=0) cosmological FRW model with holonomy corrections of Loop Quantum Gravity. The considered universe contains a massless scalar field and the cosmological constant Lambda. We find analytical solutions for…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Jakub Mielczarek , Tomasz Stachowiak , Marek Szydlowski

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…

广义相对论与量子宇宙学 · 物理学 2020-04-15 Andrzej Rostworowski

We consider the recently proposed non-relativistic Ho\v{r}ava-Lifshitz four-dimensional theory of gravity. We study a particular limit of the theory which admits flat Minkowski vacuum and we discuss thoroughly the quadratic fluctuations…

高能物理 - 理论 · 物理学 2010-04-06 Alex Kehagias , Konstadinos Sfetsos

In this paper we investigate the physical implications of the dynamical scalar mode in pure Horava-Lifshitz gravity on cosmology. We find that it can produce a scale-invariant power spectrum in UV era if the detailed balance condition on…

高能物理 - 理论 · 物理学 2010-01-15 Bin Chen , Shi Pi , Jin-Zhang Tang

The present paper deals with the dynamics of spatially flat Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model with a time varying cosmological constant $\Lambda$ where $\Lambda$ evolves with the cosmic time (t) through the…

广义相对论与量子宇宙学 · 物理学 2022-10-19 Chingtham Sonia , S. Surendra Singh

We find new, simple cosmological solutions with flat, open, and closed spatial geometries, contrary to the previous wisdom that only the open model is allowed. The metric and the St\"{u}ckelberg fields are given explicitly, showing…

高能物理 - 理论 · 物理学 2015-06-05 Tsutomu Kobayashi , Masaru Siino , Masahide Yamaguchi , Daisuke Yoshida