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Cosmological perturbation theory is an example of a gauge theory, where gauge transformations correspond to changes in the space-time coordinate system. To determine physical quantities, one is free to introduce gauge conditions (\ie to…

广义相对论与量子宇宙学 · 物理学 2025-01-23 Danilo Artigas , Julien Grain , Vincent Vennin

A variety of gauges are used in cosmological perturbation theory. These are often chosen in order to attribute physical properties to a particular choice of coordinates, or otherwise to simplify the form of the resultant equations.…

广义相对论与量子宇宙学 · 物理学 2020-04-01 Timothy Clifton , Christopher S. Gallagher , Sophia Goldberg , Karim A. Malik

Standard sirens have been proposed as probes of alternative theories of gravity, such as Horndeski models. Hitherto, all studies have been conducted on a homogeneous-isotropic cosmological background, which is unable to consistently account…

广义相对论与量子宇宙学 · 物理学 2020-09-04 Charles Dalang , Pierre Fleury , Lucas Lombriser

It is known that Horndeski theories can be transformed to a sub-class of Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories under the disformal transformation of the metric $g_{\mu \nu} \to \Omega^2(\phi)g_{\mu \nu}+\Gamma (\phi,X)…

高能物理 - 理论 · 物理学 2015-04-28 Shinji Tsujikawa

This article is intended to review the recent developments in the Horndeski theory and its generalization, which provide us with a systematic understanding of scalar-tensor theories of gravity as well as a powerful tool to explore…

广义相对论与量子宇宙学 · 物理学 2019-07-22 Tsutomu Kobayashi

Accounting for all the relativistic effects, we have developed the fully nonlinear gauge-invariant formalism for describing the cosmological observables and presented the second-order perturbative expressions associated with light…

宇宙学与河外天体物理 · 物理学 2022-10-03 Matteo Magi , Jaiyul Yoo

We study perturbation theory for large-scale structure in the most general scalar-tensor theories propagating a single scalar degree of freedom, which include Horndeski theories and beyond. We model the parameter space using the effective…

宇宙学与河外天体物理 · 物理学 2020-06-09 Marco Crisostomi , Matthew Lewandowski , Filippo Vernizzi

This paper presents a systematic treatment of the linear theory of scalar gravitational perturbations in the synchronous gauge and the conformal Newtonian (or longitudinal) gauge. It differs from others in the literature in that we give, in…

天体物理学 · 物理学 2015-06-24 Chung-Pei Ma , Edmund Bertschinger

First the second-order perturbations of nonzero-\Lambda cosmological models are derived with an arbitrary potential function of spatial coordinates, using the nonlinear version of Lifshitz's method in the synchronous gauge. Their expression…

天体物理学 · 物理学 2009-11-10 Kenji Tomita

Theoretical descriptions of observable quantities in cosmological perturbation theory should be independent of coordinate systems. This statement is often referred to as gauge-invariance of observable quantities, and the sanity of their…

宇宙学与河外天体物理 · 物理学 2017-09-20 Jaiyul Yoo , Ruth Durrer

We study the cosmological evolution of a scalar field in Horndeski gravity, assuming that the scalar field is subdominant with respect to the cosmic fluid. We first analyse the most general shift-symmetric action that respects local Lorentz…

广义相对论与量子宇宙学 · 物理学 2020-04-08 Nicola Franchini , Thomas P. Sotiriou

Ongoing and upcoming cosmological surveys will significantly improve our ability to probe the equation of state of dark energy, $w_{\rm DE}$, and the phenomenology of Large Scale Structure. They will allow us to constrain deviations from…

宇宙学与河外天体物理 · 物理学 2019-01-16 Juan Espejo , Simone Peirone , Marco Raveri , Kazuya Koyama , Levon Pogosian , Alessandra Silvestri

We analyse the implications of the presence of spatial curvature in modified gravity models. As it is well known, the current standard cosmological model, the $\Lambda$CDM, is assumed to be spatially flat based on the results of many…

广义相对论与量子宇宙学 · 物理学 2024-12-03 Serena Gambino , Francesco Pace

We review a subset of the current tensions affecting the standard $\Lambda$CDM cosmological model, emphasizing the role of chronic systematics and significance inflation in shaping their interpretation. As a unifying framework, we consider…

宇宙学与河外天体物理 · 物理学 2026-02-02 Valerio Marra

We perform detailed investigation of cosmological perturbations in f(T) theory of gravity coupled with scalar field. Our work emphasizes on the way to gauge fix the theory and we examine all possible modes of perturbations up to second…

广义相对论与量子宇宙学 · 物理学 2013-06-24 Keisuke Izumi , Yen Chin Ong

The Hubble tension refers to the discrepancy in the value of the Hubble constant $H_0$ inferred from the cosmic microwave background observations, assuming the concordance $\Lambda$CDM model of the Universe, and that from the distance…

宇宙学与河外天体物理 · 物理学 2024-03-19 Yashi Tiwari , Basundhara Ghosh , Rajeev Kumar Jain

We present a new approach to gauge-invariant cosmological perturbations at second order, which is also covariant. We examine two cases in particular for a dust Friedman-Lemaitre-Robertson-Walker model of any curvature: we investigate…

天体物理学 · 物理学 2014-10-13 Chris Clarkson

In this chapter we consider perturbations and stability of higher dimensional black holes focusing on the static background case. We first review a gauge-invariant formalism for linear perturbations in a fairly generic class of…

高能物理 - 理论 · 物理学 2015-05-27 Akihiro Ishibashi , Hideo Kodama

We study cosmological perturbations in a brane-world scenario where the matter fields live on a four-dimensional brane and gravity propagates in the five-dimensional bulk. We present the equations of motion in an arbitrary gauge for metric…

天体物理学 · 物理学 2014-10-13 Helen A. Bridgman , Karim A. Malik , David Wands

We consider the relational approach to construct gauge-invariant observables in cosmological perturbation theory using synchronous coordinates. We construct dynamical synchronous coordinates as non-local scalar functionals of the metric…

广义相对论与量子宇宙学 · 物理学 2023-10-05 Markus B. Fröb , William C. C. Lima