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In this paper, we scrutinize very closely the cosmology in the proxy theory to massive gravity obtained in Phys. Rev. D84 (2011) 043503. This proxy theory was constructed by covariantizing the decoupling limit Lagrangian of massive gravity…

High Energy Physics - Theory · Physics 2014-05-21 Lavinia Heisenberg , Rampei Kimura , Kazuhiro Yamamoto

The best motivated alternatives to general relativity are scalar-tensor theories, in which the gravitational interaction is mediated by one or several scalar fields together with the usual graviton. The analysis of their various…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilles Esposito-Farese

Phenomenological functions $\Sigma$ and $\mu$ (also known as $G_{\rm light}/G$ and $G_{\rm matter}/G$) are commonly used to parameterize possible modifications of the Poisson equation relating the matter density contrast to the lensing and…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-15 Levon Pogosian , Alessandra Silvestri

This paper analyses the cosmological consequences of a modified theory of gravity whose action integral is built from a linear combination of the Ricci scalar $R$ and a quadratic term in the covariant derivative of $R$. The resulting…

General Relativity and Quantum Cosmology · Physics 2015-12-31 R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

The paper deals with a modified theory of gravity and the cosmological consequences. Instead of concerning the field equations directly, we modify a conformally-related and equivalent equation, such that a spontaneous symmetry breaking at…

General Physics · Physics 2020-01-23 Christian Henke

The Effective Field Theory of Dark Energy (EFTofDE) provides a systematic and model-independent framework to study dark energy (DE) and modified gravity (MG) with one additional scalar degree of freedom. It can describe the known models…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-18 Chi Zheng , Wei Liu , Zonghao Zhan , Wenjuan Fang

We study the qualitative properties of cosmological models in scalar-tensor theories of gravity by exploiting the formal equivalence of these theories with general relativity minimally coupled to a scalar field under a conformal…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Andrew Billyard , Alan A Coley , Jesus Ibanez

A set of conditions that any effective field theory needs to satisfy in order to allow for the existence of a viable UV completion has recently gained attention in the cosmological context under the name of $\textit{positivity bounds}$. In…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-22 Dani de Boe , Gen Ye , Fabrizio Renzi , Inês S. Albuquerque , Noemi Frusciante , Alessandra Silvestri

We systematically assess several limiting cases of modified gravity, where particular theoretical or observational conditions hold. This framework includes the well known scalar-tensor gravity and No Slip Gravity and No Run Gravity, and we…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-15 Eric V. Linder

Cosmic voids in the large-scale structure are among the useful probes for testing gravity on cosmological scales. In this paper, we investigate the evolution of voids in the Horndeski theory using the effective field theory (EFT) of dark…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-25 Toshiki Takadera , Shin'ichi Hirano , Tsutomu Kobayashi

The increasing precision of cosmological data provides us with an opportunity to test general relativity (GR) on the largest accessible scales. Parameterizing modified gravity models facilitates the systematic testing of the predictions of…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-26 Ali Narimani , Douglas Scott

In this paper we present preliminary results from cosmological simulations of modified gravity in the dark matter sector. Our results show improvements over standard cold dark matter cosmology. The abundance of low-mass haloes in the…

Astrophysics · Physics 2008-07-08 Wojciech A. Hellwing

In these lectures we report recent work on the exact quantization of dimensionally reduced gravity, i.e. 2d non-linear (G/H)-coset space sigma-models coupled to gravity and a dilaton. Using methods developed in the context of flat space…

High Energy Physics - Theory · Physics 2007-05-23 H. Nicolai , D. Korotkin , H. Samtleben

Chameleon fields may modify gravity on cluster scales while recovering general relativity locally. This article reviews signatures of chameleon modifications in the nonlinear cosmological structure, comparing different techniques to model…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-06 Lucas Lombriser

The tachyonic instability is associated with the unboundedness of the Hamiltonian from below and results in an unstable low-$k$ regime. In the cosmological exploration of modified gravity, it is seldom taken into account, with more focus…

General Relativity and Quantum Cosmology · Physics 2019-02-19 Noemi Frusciante , Georgios Papadomanolakis , Simone Peirone , Alessandra Silvestri

The effective field theory (EFT) of cosmological perturbations is a useful framework to deal with the low-energy degrees of freedom present for inflation and dark energy. We review the EFT for modified gravitational theories by starting…

General Relativity and Quantum Cosmology · Physics 2014-11-13 Shinji Tsujikawa

A number of different approaches to quantum gravity are at least partly phenomenologically characterized by their treatment of Lorentz symmetry, in particular whether the symmetry is exact or modified/broken at the smallest scales. For…

General Relativity and Quantum Cosmology · Physics 2012-08-16 Stefano Liberati , David Mattingly

The combination of GR and the Standard Model disagrees with numerous observations on scales from our Solar System up. In the concordance model of cosmology, these contradictions are removed or alleviated by the introduction of three…

General Relativity and Quantum Cosmology · Physics 2012-01-10 Glenn D. Starkman

We present an exploration of the phenomenology of Horndeski gravity, focusing on regimes that produce weak gravity compared to General Relativity. This letter introduces a novel method to generate models of modified gravity theories that…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Linus Thummel , Benjamin Bose , Alkistis Pourtsidou