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Gravitational waves travel through the distributions of matter and dark energy during propagation. For this reason, gravitational waves emitted from binary compact objects serve as a useful tool especially to probe the nature of dark…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Kei-ichiro Kubota , Shun Arai , Shinji Mukohyama

A general framework for effective theories propagating two tensor and one scalar degrees of freedom is investigated. Geometrically, it describes dynamical foliation of spacelike hypersurfaces coupled to a general background, in which the…

General Relativity and Quantum Cosmology · Physics 2014-10-29 Xian Gao

In this note we examine whether spherically symmetric solutions in Covariant Horava Lifshitz Gravity can reproduce Newton's Law in the IR limit \lambda->1. We adopt the position that the auxiliary field A is independent of the space-time…

High Energy Physics - Theory · Physics 2015-08-27 Jean Alexandre , Pavlos Pasipoularides

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…

General Relativity and Quantum Cosmology · Physics 2020-09-04 Charles Dalang , Pierre Fleury , Lucas Lombriser

We focus our attention on the spinor model proposed in an article by J. Magueijo et al. and we analyze it from the point of view of the cosmological background. We show that this model, under some conditions, can well-describe the…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Andrea La Delfa

We study linear scalar perturbations around a flat FLRW background in mimetic Horndeski gravity. In the absence of matter, we show that the Newtonian potential satisfies a second-order differential equation with no spatial derivatives. This…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Frederico Arroja , Nicola Bartolo , Purnendu Karmakar , Sabino Matarrese

We study a particular approach for analyzing worldsheet conformal invariance for bosonic string propagating in a curved background using hamiltonian formalism. We work in the Schrodinger picture of a single particle description of the…

High Energy Physics - Theory · Physics 2011-06-10 Partha Mukhopadhyay

Black hole perturbation theory on spherically symmetric backgrounds has been instrumental in establishing various aspects about the gravitational dynamics close to black holes, and continues to be an interesting avenue to confront current…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Gowtham Rishi Mukkamala , David Pereñiguez

We present another proof of the sharp inequality for Paneitz operator on the standard three sphere, in the spirit of subcritical approximation for the classical Yamabe problem. To solve the perturbed problem, we use a symmetrization process…

Analysis of PDEs · Mathematics 2018-02-28 Fengbo Hang , Paul C. Yang

In this paper, we investigate the linear perturbations of the spherically symmetric spacetimes with kinematic self-similarity of the second kind. The massless scalar field equations are solved which yield the background and an exact…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Sharif

The Horndeski action is the most general scalar-tensor theory with at most second-order derivatives in the equations of motion, thus evading Ostrogradsky instabilities and making it of interest when modifying gravity at large scales. To…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Ryan McManus , Lucas Lombriser , Jorge Peñarrubia

We discuss non-Hermitian field theories where the spectrum of the Hamiltonian involves only real energies. We make three observations. (i) The theories obtained from supersymmetric theories by nonanticommutative deformations belong in many…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Smilga

We present a new covariant, gauge-invariant formalism describing linear metric perturbation fields on any spherically symmetric background in general relativity. The advantage of this formalism relies in the fact that it does not require a…

General Relativity and Quantum Cosmology · Physics 2013-04-15 Eliana Chaverra , Néstor Ortiz , Olivier Sarbach

In the present work, we study four-dimensional black strings in Horndeski models with translation invariance. Imposing that the scalar field depends on the string-generator coordinate, the Klein-Gordon equation admits a linear profile as a…

High Energy Physics - Theory · Physics 2023-11-30 Luis Guajardo

Horndeski gravity is the most general scalar-tensor theory with one scalar field leading to second-order Euler-Lagrange field equations for the metric and scalar field, and it is based on Riemannian geometry. In this paper, we formulate an…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Sebastian Bahamonde , Georg Trenkler , Leonardo G. Trombetta , Masahide Yamaguchi

Spherically symmetric solutions of theories of gravity built one fundamental class of solutions to describe compact objects like black holes and stars. Moreover, they serve as starting point for the search of more realistic axially…

General Relativity and Quantum Cosmology · Physics 2022-01-21 Sebastian Bahamonde , Alexey Golovnev , María-José Guzmán , Jackson Levi Said , Christian Pfeifer

We present a family of designer Horndeski models, i.e. models that have a background exactly equal to that of the $\Lambda$CDM model but perturbations given by the Horndeski theory. Then, we extend the effective fluid approach to Horndeski…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-25 Rubén Arjona , Wilmar Cardona , Savvas Nesseris

We reduce the equations governing the spherically symmetric perturbations of static spherically symmetric solutions of the Einstein-Vlasov system (with either massive or massless particles) to a single stratified wave equation…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Carsten Gundlach

We compare cosmologic and spherically symmetric solutions to metric and Palatini versions of vector Horndeski theory. It appears that Palatini formulation of the theory admits more degrees of freedom. Specifically, homogeneous isotropic…

High Energy Physics - Theory · Physics 2018-03-28 E. A. Davydov

Linear cosmological perturbations of a large class of modified gravity and dark energy models can be unified in the effective field theory of cosmic acceleration, encompassing Horndeski scalar-tensor theories and beyond. The fully available…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-25 Lucas Lombriser , Andy Taylor
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