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The growing wealth of cosmological observations places increasingly more stringent constraints on dark energy and alternative gravity models. Particularly successful in efficiently probing the vast model space has been the effective field…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-28 Lucas Lombriser , Charles Dalang , Joe Kennedy , Andy Taylor

We attempt to find new symmetries in the space-time structure, leading to a modified gravitation at large length scales, which provides the foundations of a quantum gravity at very low energies. This search begins by considering a unified…

General Relativity and Quantum Cosmology · Physics 2007-09-13 Claudio Nassif

Finding effective theories of modified gravity that can resolve cosmological singularities and avoid other physical pathologies such as ghost and gradient instabilities has turned out to be a rather difficult task. The concept of limiting…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Jerome Quintin , Daisuke Yoshida

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

Generic models in Galileons or Horndeski theory do not have cosmological solutions that are free of instabilities and singularities in the entire time of evolution. We extend this No-Go theorem to a spacetime with torsion. On this more…

High Energy Physics - Theory · Physics 2024-07-22 S. Mironov , M. Valencia-Villegas

The ghost-free theory of massive gravity with two dynamical metrics has been shown to produce viable cosmological expansion, where the late-time acceleration of the Universe is due to the finite range of the gravitational interaction rather…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-29 Adam R. Solomon , Yashar Akrami , Tomi S. Koivisto

The recent observation of the the gravitational wave event GW170817 and of its electromagnetic counterpart GRB170817A, from a binary neutron star merger, has established that the speed of gravitational waves deviates from the speed of light…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Alessandro Casalino , Massimiliano Rinaldi , Lorenzo Sebastiani , Sunny Vagnozzi

We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to the Einstein tensor and we present the null geodesic structure for asymptotically flat, AdS, and dS…

General Relativity and Quantum Cosmology · Physics 2025-08-15 D. A. Carvajal , P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

The discovery of the electromagnetic counterpart to GW170817 severely constrains the tensor mode propagation speed, eliminating a large model space of Horndeski theory. We use the cosmic microwave background data from Planck and the joint…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-28 C. D. Kreisch , E. Komatsu

The beyond-Horndeski gravity has recently been reformulated in the dark energy paradigm - which has been dubbed, Unified Dark Energy (UDE). The evolution equations for the given UDE appear to correspond to a non-conservative dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-15 Didam Duniya , Teboho Moloi , Chris Clarkson , Julien Larena , Roy Maartens , Bishop Mongwane , Amanda Weltman

In these lecture notes I review the theory of the non--linear evolution of cosmological perturbations in a self--gravitating collisionless medium, with vanishing vorticity. The problem is first analyzed in the context of the Newtonian…

Astrophysics · Physics 2015-06-24 Sabino Matarrese

We present a Lorentz gauge theory of gravity in which the metric is not dynamical. Spherically symmetric weak field solutions are studied. We show that this solution contains the Schwarzschild spacetime at least to the first order of…

General Relativity and Quantum Cosmology · Physics 2016-10-27 Ahmad Borzou

We present a detailed study of second-order matter perturbations for the general Horn- deski class of models. Being the most general scalar-tensor theory having second-order equations of motion, it includes many known gravity and dark…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-24 Emilio Bellini , Raul Jimenez , Licia Verde

We consider a variant of the Nojiri-Odintsov covariant Horava-like gravitational model, where diffeomorphism invariance is broken dynamically via a non-standard coupling to a perfect fluid. The theory allows to address some of the potential…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Guido Cognola , Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini

The general relativistic non--linear dynamics of a self--gravitating collisionless fluid with vanishing vorticity is studied in synchronous and comoving -- i.e. {\em Lagrangian} -- coordinates. Writing the equations in terms of the metric…

Astrophysics · Physics 2007-05-23 Sabino Matarrese

We investigate the radiative stability of Horndeski scalar-tensor theories with luminally propagating gravitational waves (as extensively discussed in the wake of GW170817) and show that in general there is a tension between obtaining…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Johannes Noller , Andrina Nicola

In the context of Horndeski cosmologies, we consider a dynamical adjustment mechanism able to screen any value of the vacuum energy of the matter fields leading to a fixed de Sitter geometry. Thus, we present the most general scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2015-09-22 Prado Martin-Moruno , Nelson J. Nunes , Francisco S. N. Lobo

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

Nojiri \& Odintsov \cite{noj1} and Hu \& Sawicki \cite{hu} have studied non-linear functions in modified gravity that explain the cosmic acceleration without cosmological constant, fulfil the conditions of local gravity \& stability and…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Gauranga C Samanta , Nisha Godani

A quantum-mechanical theory of gravitation is presented, where the motion of particles is based on the optics of de Broglie waves. Here the large-scale geometry of the universe is inherently flat, and its age is not constrained to < 13 Gyr.…

Astrophysics · Physics 2007-05-23 Kris Krogh