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We revise the future fate of a group of scalar-tensor theories known as kinetic gravity braiding models. As it is well-known, these theories can safely drive the expansion of the universe towards a future de Sitter state if the…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Teodor Borislavov Vasilev , Mariam Bouhmadi-López , Prado Martín-Moruno

We consider scalar-tensor theories of gravity in an accelerating universe. The equations for the background evolution and the perturbations are given in full generality for any parametrization of the Lagrangian, and we stress that apparent…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Esposito-Farese , D. Polarski

We consider spacetimes consisting of a manifold with Lorentzian metric and a weight function or scalar field. These spacetimes admit a Bakry-\'Emery-Ricci tensor which is a natural generalization of the Ricci tensor. We impose an energy…

Differential Geometry · Mathematics 2015-10-28 Gregory J. Galloway , Eric Woolgar

We derive all hairy stealth black holes in the most general second-order, shift symmetric, scalar-tensor theory with luminally propagating gravitational waves, often called kinetic gravity braiding. Our approach exploits an overlooked…

General Relativity and Quantum Cosmology · Physics 2020-01-20 Reginald Christian Bernardo , John Celestial , Ian Vega

A exact de Sitter-like cosmological solution of quadratic gravitation with torsion has been found. In the limit of constant energy and pressure, it becomes a exact de Sitter spacetime. It exists in a wide class of quadratic gravity theories…

General Relativity and Quantum Cosmology · Physics 2011-10-18 Guo-Ying Qi , Yongxin Guo

We generalize previous work by considering a novel gravitational model with an action given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field and a kinetic term constructed from the gradients of the…

General Relativity and Quantum Cosmology · Physics 2013-02-06 Tiberiu Harko , Francisco S. N. Lobo , Olivier Minazzoli

In this paper we present the power series solution of the Klein-Gordon equation in the spacetime background of a gravitational wave with amplitude that decays with distance from the source. The resulting solution describes the interaction…

General Relativity and Quantum Cosmology · Physics 2023-06-09 Jesse Elder , Todd Fugleberg

We derive a closed-form solution for the Green's function for the wave equation of a static (with respect to an undragged, static observer at infinity) scalar charge in the Kerr space-time. We employ our solution to obtain an analytic…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Adrian C. Ottewill , Peter Taylor

We consider linear gravitational perturbations of the Kerr brane, an exact solution of vacuum Einstein's equations in dimensions higher than four and a low-energy solution of string theory. Decomposing the perturbations in tensor harmonics…

High Energy Physics - Theory · Physics 2015-07-28 Akihiro Ishibashi , Paolo Pani , Leonardo Gualtieri , Vitor Cardoso

In the present work, the Brans-Dicke theory of gravity is taken as a possible theory of k-essence coupled to gravity and then the role played by the Brans-Dicke scalar field in relation to the unified model for dark matter and dark energy…

Astrophysics · Physics 2007-05-23 Hongsu Kim

We study the correspondence that connects the space of solutions of General Relativity (GR) with that of Ricci-based Gravity theories (RBGs) of the $f(R,Q)$ type in the metric-affine formulation, where $Q=R_{(\mu\nu)}R^{(\mu\nu)}$. We focus…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Renan B. Magalhães , Luís C. B. Crispino , Gonzalo J. Olmo

We study a general scalar field Lagrangian coupled with matter and linear in $\Box\phi$ (also called KGB model). Within this class of models, we find the most general form of the Lagrangian that allows for cosmological scaling solutions,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 A. R. Gomes , Luca Amendola

Cosmological scenarios with k-essence are invoked in order to explain the observed late-time acceleration of the universe. These scenarios avoid the need for fine-tuned initial conditions (the "coincidence problem") because of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jin U Kang , Vitaly Vanchurin , Sergei Winitzki

We study cosmological perturbations for k-essence and kinetic gravity braiding models in the context of the two-field measure theory (TMT). Considering scalar perturbations and the uniform field gauge, we obtain the sound speed of the…

General Relativity and Quantum Cosmology · Physics 2023-10-23 Ruben Cordero , Josue De-Santiago , Omar G. Miranda , Margarita Serrano-Crivelli

For a particular type of {\bf k-}essence scalar field, the {\bf k-}essence emergent gravity metric is exactly mapped on to the Barriola-Vilenkin (BV) type metric for Schwarzschild background established by Gangopadhyay and Manna. Based on…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Bivash Majumder , Goutam Manna , Ashoke Das

The complete solution of Einstein's gravitational equations with a vacuum-vacuum Kerr-Schild pencil of metrics $g_{ab}+V l_al_b$ is obtained. Our result generalizes the solution of the Kerr-Schild problem with a flat metric $g_{ab}$…

General Relativity and Quantum Cosmology · Physics 2009-11-07 László Á. Gergely , Zoltán Perjés

The self-force is the leading method in modelling waveforms for extreme mass ratio inspirals, a key target of ESA's future space-based gravitational wave detector LISA. In modelling these systems, one approximates the smaller body as a…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Anna Heffernan

We study the properties of possible static, spherically symmetric configurations in k-essence theories with the Lagrangian functions of the form $F(X)$, $X \equiv \phi_{,\alpha} \phi^{,\alpha}$. A no-go theorem has been proved, claiming…

General Relativity and Quantum Cosmology · Physics 2016-04-27 K. A. Bronnikov , J. C. Fabris , D. C. Rodrigues

Type N spacetimes of the Kundt class are presented as solutions to Einstein's equations sourced by a real scalar field whose equation of motion is conformally invariant and that generalizes the standard conformal scalar field. The specific…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Pedro A. Sánchez

We propose an adaptation of the Kerr-Schild method by implementing the correspondence relations (mapping) between Ricci-based Gravity (RBG) and General Relativity (GR). Basically, we generate GR known solutions from a canonical metric with…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Jonas Pinheiro da Silva