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Recently we have derived a set of mapping relations that enables the reconstruction of the family of Horndeski scalar-tensor theories which reproduce the background dynamics and linear perturbations of a given set of effective field theory…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-12 Joe Kennedy , Lucas Lombriser , Andy Taylor

We review the current status and prospects for the conformal invariant fourth order theory of gravity which has recently been advanced by Mannheim and Kazanas as a candidate alternative to the standard second order Einstein theory. We…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Philip D. Mannheim

It is shown that the compactification a la Randall Sundrum of the so called, five dimensional Einstein Chern Simons action gravity leads to an action for a four dimensional scalar tensor gravity that includes a Gauss Bonnet term, which…

High Energy Physics - Theory · Physics 2023-08-09 L. Cardenas , V. C. Orozco , P. Salgado , D. Salgado , R. Salgado

The Newtonian limit of the most general fourth order gravity is performed with metric approach in the Jordan frame with no gauge condition. The most general theory with fourth order differential equations is obtained by generalizing the…

General Relativity and Quantum Cosmology · Physics 2010-12-28 A. Stabile

This paper investigates the propagation of cosmological gravitational waves interacting with free-streaming neutrinos within the context of Horndeski theories of gravity constrained by the detection of GW170817. We apply the theory of…

General Relativity and Quantum Cosmology · Physics 2019-04-19 Mattia Scomparin , Simone Vazzoler

The Horndeski Lagrangian brings together all possible interactions between gravity and a scalar field that yield second-order field equations in four-dimensional spacetime. As originally proposed, it only addresses phenomenology without…

General Relativity and Quantum Cosmology · Physics 2017-10-18 José Barrientos , Fabrizio Cordonier-Tello , Fernando Izaurieta , Perla Medina , Daniela Narbona , Eduardo Rodríguez , Omar Valdivia

In the Horndeski's most general scalar-tensor theories the equations of scalar density perturbations are derived in the presence of non-relativistic matter minimally coupled to gravity. Under a quasi-static approximation on sub-horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Antonio De Felice , Tsutomu Kobayashi , Shinji Tsujikawa

We establish the existence of static and spherically symmetric fermion-boson stars, in a low energy effective model of (beyond) Horndeski theories. These stars are in equilibrium, and are composed by a mixing of scalar and fermionic matters…

General Relativity and Quantum Cosmology · Physics 2021-12-28 Armando A. Roque , L. Arturo Ureña-López

We derive the tensor gravitational waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to second post-Newtonian order…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Ryan N. Lang

Horndeski gravity is a popular contender for a phenomenological model of dynamical dark energy, and as such subject to observational constraints. In this work, we ask whether Horndeski gravity can be more than a phenomenological model and…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Astrid Eichhorn , Rafael R. Lino dos Santos , Fabian Wagner

Modifications to gravity that add additional functions of the Ricci curvature to the Einstein-Hilbert action -- collectively known as $f(R)$ theories -- have been studied in great detail. When considered as complete theories of gravity they…

Astrophysics · Physics 2009-02-20 Simon DeDeo , Dimitrios Psaltis

We study the structure of scalar-tensor theories of gravity based on derivative couplings between the scalar and the matter degrees of freedom introduced through an effective metric. Such interactions are classified by their tensor…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Miguel Zumalacárregui , Juan García-Bellido

The almost simultaneous detection of gravitational waves and a short gamma-ray burst from a neutron star merger has put a tight constraint on the difference between the speed of gravity and light. In the four-dimensional scalar-tensor…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-17 Marco Crisostomi , Kazuya Koyama

Faddeev formulation of general relativity (GR) is considered where the metric is composed of ten vector fields or a ten-dimensional tetrad. Upon partial use of the field equations, this theory results in the usual GR. Earlier we have…

General Relativity and Quantum Cosmology · Physics 2015-09-28 V. M. Khatsymovsky

We review the most general scalar-tensor cosmological models with up to second-order derivatives in the field equations that have a fixed spatially flat de Sitter critical point independent of the material content or vacuum energy. This…

General Relativity and Quantum Cosmology · Physics 2017-04-20 Nelson J. Nunes , Prado Martin-Moruno , Francisco S. N. Lobo

We comment on the recently introduced Gauss-Bonnet gravity in four dimensions. We argue that it does not make sense to consider this theory to be defined by a set of $D\to 4$ solutions of the higher-dimensional Gauss-Bonnet gravity. We show…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Robie A. Hennigar , David Kubiznak , Robert B. Mann , Christopher Pollack

Recently, an action principle for the $D\rightarrow4$ limit of the Einstein-Gauss-Bonnet gravity has been proposed. It is a special scalar-tensor theory that belongs to the family of Horndeski gravity. It also has a well defined…

High Energy Physics - Theory · Physics 2021-10-13 H. Lu , Pujian Mao

We extend a previous self-tuning analysis of the most general scalar-tensor theory of gravity in four dimensions with second order field equations by considering a generalized coupling to the matter sector. Through allowing a disformal…

High Energy Physics - Theory · Physics 2016-05-04 William T. Emond , Paul M. Saffin

Neutron stars are highly compact astrophysical objects and therefore of utmost relevance to learn about theories of gravity. Whereas the proper equation of state of the nuclear matter inside neutron stars is not yet known, and a wide range…

General Relativity and Quantum Cosmology · Physics 2022-04-28 Jutta Kunz

We present here a quantum cosmological model with Bohm-de Broglie interpretation of the theory described by a combination of two terms of the Fab Four cosmological theory. The first term is the John Lagrangian and the second is a potential…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Isaac Torres , Júlio César Fabris , Oliver Fabio Piattella