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Using the linear theory of perturbations in General Relativity, we express a set of consistency relations that can be observationally tested with current and future large scale structure surveys. We then outline a stringent…

Astrophysics · Physics 2009-11-13 Yong-Seon Song , Olivier Doré

We consider the mass-radius bounds for spherically symmetric static compact objects in the de Rham-Gabadadze-Tolley (dRGT) Massive Gravity theories, free of ghosts. In this type of gravitational theories the graviton, the quantum of…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Parinya Kareeso , Piyabut Burikham , Tiberiu Harko

In this paper we study long range modifications of gravity in the consistent framework of bigravity, which introduces a second massive spin-2 field and allows to continuously interpolate between the regime of General Relativity (mediated by…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-19 Moritz Platscher , Juri Smirnov , Sven Meyer , Matthias Bartelmann

Recently, gravitational microlensing has been investigated in the framework of the weak field limit of fourth order gravity theory. However, solar system data (i.e. planetary periods and light bending) can be used to put strong constraints…

Astrophysics · Physics 2009-11-11 A. F. Zakharov , A. A. Nucita , F. De Paolis , G. Ingrosso

Galaxy cluster masses help to constrain cosmological parameters through the halo mass function. To get rid of major biases in the mass measurement, we directly probe the cluster gravitational potentials by observing their gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-17 Alexandre Huchet

This course presents some applications of gravitational lensing to the measurement of masses of galaxies (galaxy-galaxy lensing, Eintein rings, perturbations of giant arcs) and cluster of galaxies (strong and weak lensing). This complements…

Astrophysics · Physics 2007-05-23 Y. Mellier

We consider the massless limit of Higgs gravity, where the graviton becomes massive when the scalar fields acquire expectation values. We determine the Vainshtein scale and prove that massive gravity smoothly goes to General Relativity…

High Energy Physics - Theory · Physics 2010-12-14 Lasma Alberte , Ali H. Chamseddine , Viatcheslav Mukhanov

A modified gravitational theory explains early universe and late time cosmology, galaxy and galaxy cluster dynamics. The modified gravity (MOG) theory extends general relativity (GR) by three extra degrees of freedom: a scalar field $G$,…

General Relativity and Quantum Cosmology · Physics 2020-10-30 J. W. Moffat

We present a Markov chain Monte Carlo pipeline which can be used for unbiased large-scale tests of gravity using galaxy cluster observations. The pipeline, which currently uses cluster number counts to constrain the present-day background…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-28 Myles A. Mitchell

Weak gravitational lensing of background galaxies provides a direct probe of the projected matter distribution in and around galaxy clusters. Here we present a self-contained pedagogical review of cluster--galaxy weak lensing, covering a…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-15 Keiichi Umetsu

Weak gravitational lensing has been used extensively in the past decade to constrain the masses of galaxy clusters, and is the most promising observational technique for providing the mass calibration necessary for precision cosmology with…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Rachel Mandelbaum , Uros Seljak , Tobias Baldauf , Robert E. Smith

In the framework of general relativity (GR), gravitational waves (GWs) travel at the speed of light across all frequencies. However, massive gravity and weak equivalence principle (WEP) violation may lead to frequency-dependent variations…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Xian-Liang Wang , Shu-Cheng Yang , Wen-Biao Han

Efforts to place limits on deviations from canonical formulations of electromagnetism and gravity have probed length scales increasing dramatically over time.Historically, these studies have passed through three stages: (1) Testing the…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alfred Scharff Goldhaber , Michael Martin Nieto

The clustering dipole in the 2MASS galaxy survey converges on a scale of ~400Mpc to the local peculiar velocity inferred from the Cosmic-Microwave-Background dipole. I show that this limits the graviton mass in Yukawa theories of gravity to…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-06 Abraham Loeb

In this paper, analytical solutions describing static and spherically symmetric sources in the decoupling limit of massive gravity are derived. We analyze the model parameter range and specify when a Vainshtein mechanism is possible.…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Stefan Sjors , Edvard Mortsell

In this paper, we will describe the idea that dark matter partly consists of gravitational solitons (gravisolitons). The corresponding solution is valid for weak gravitational fields (weak field limit) with respect to a background metric.…

General Relativity and Quantum Cosmology · Physics 2020-12-11 Torsten Asselmeyer-Maluga , Jerzy Krol

Gravity is the weakest of all known forces. Measuring the force of gravity from micro and nano-scale source masses is an essential first step toward low-energy quantum gravity tests. In addition, measuring gravitational forces where the…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Ahmed Roman , Asem Hassan , Mohamed ElKabbash

In this paper, we study gravitational lensing by groups of galaxies. Since groups are abundant and therefore have a large covering fraction on the sky, lensing by groups is likely to be very important observationally. Besides, it has…

Astrophysics · Physics 2009-11-07 Ole Moller , Priyamvada Natarajan , Jean-Paul Kneib , Andrew Blain

We propose gravitational microlensing as a way of testing the emergent gravity theory recently proposed by Eric Verlinde~\cite{Verlinde:2016toy}. We consider two limiting cases: the dark mass of maximally anisotropic pressures (Case I) and…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Lei-Hua Liu , Tomislav Prokopec

We investigate the novel features of gravitational wave solutions in $f(R)$ gravity under proper gauge considerations in the shifted Ricci scalar background curvature ($R^{1+\epsilon}$). The solution is further explored to study the…

General Relativity and Quantum Cosmology · Physics 2023-10-27 Vipin Kumar Sharma , Sreekanth Harikumar , Margherita Grespan , Marek Biesiada , Murli Manohar Verma