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We constrain the viable models of Horndeski gravity, written in its equivalent Generalised Galileon version, by resorting to the Witten positive energy theorem. We find that the free function $G_3(\phi, X)$ in the Lagrangian is constrained…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Cláudio Gomes , Orfeu Bertolami

A $(3+1)$-dimensional Einstein-Gauss-Bonnet theory of gravity has been recently formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. {\bf 124}, 081301 (2020)] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's…

General Relativity and Quantum Cosmology · Physics 2020-09-21 R. A. Konoplya , A. Zhidenko

We study four-dimensional gravity theories that are rendered renormalisable by the inclusion of curvature-squared terms to the usual Einstein action with cosmological constant. By choosing the parameters appropriately, the massive scalar…

High Energy Physics - Theory · Physics 2011-05-23 H. Lu , C. N. Pope

We consider some classes of Horndeski theories in four dimensions for which a certain combination of the Einstein equations within a spherical ansatz splits into two distinct branches. Recently, for these theories, some integrability and…

High Energy Physics - Theory · Physics 2023-09-26 Mokhtar Hassaine , Ulises Hernandez-Vera , Franco Lara-Munoz

We discuss two spherically symmetric solutions admitted by the Horndeski (or scalar tensor) theory in the context of solar system and astrophysical scenarios. One of these solutions is derived for Einstein-Gauss-Bonnet gravity, while the…

General Relativity and Quantum Cosmology · Physics 2017-02-28 Sourav Bhattacharya , Sumanta Chakraborty

We investigate the discretized version of the compact Randall-Sundrum model. By studying the mass eigenstates of the lattice theory, we demonstrate that for warped space, unlike for flat space, the strong coupling scale does not depend on…

High Energy Physics - Theory · Physics 2009-11-11 Lisa Randall , Matthew D. Schwartz , Shiyamala Thambyahpillai

We discuss the most general class of teleparallel scalar-torsion theories of gravity in their covariant formulation. The only restrictions we impose are the invariance of the action under diffeomorphisms and local Lorentz transformations,…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Manuel Hohmann

In the present work, we study four-dimensional black strings in Horndeski models with translation invariance. Imposing that the scalar field depends on the string-generator coordinate, the Klein-Gordon equation admits a linear profile as a…

High Energy Physics - Theory · Physics 2023-11-30 Luis Guajardo

In this work, we use reconstruction methods to obtain cosmological solutions in the recently developed scalar-tensor representation of $f(R,T)$ gravity. Assuming that matter is described by an isotropic perfect fluid and the spacetime is…

General Relativity and Quantum Cosmology · Physics 2022-03-15 Tiago B. Gonçalves , João Luís Rosa , Francisco S. N. Lobo

We have investigated the cosmological scenarios with a four dimensional effective action which is connected with multidimensional, supergravity and string theories. The solution for the scale factor is such that initially universe undergoes…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. A. Sen , S. Sen

Recently, it was discovered that lower-dimensional versions of Lovelock gravity exist as scalar-tensor theories that are examples of Horndeski gravity. We study the thermodynamics of the static black hole solutions in these theories up to…

High Energy Physics - Theory · Physics 2025-07-11 Gokhan Alkac , Gokcen Deniz Ozen , Hikmet Ozsahin , Gun Suer , Mustafa Tek

Determining the most general, consistent scalar tensor theory of gravity is important for building models of inflation and dark energy. In this work we investigate the number of degrees of freedom present in the theory of beyond Horndeski.…

High Energy Physics - Theory · Physics 2016-03-23 Marco Crisostomi , Matthew Hull , Kazuya Koyama , Gianmassimo Tasinato

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

Here we perform the Kaluza-Klein dimensional reduction from $D+1$ to $D$ dimensions of massless Lagrangians described by a symmetric rank-2 tensor and invariant under transverse differmorphisms (TDiff). They include the linearized…

High Energy Physics - Theory · Physics 2021-06-30 D. Dalmazi , R. R. Lino dos Santos

We study the possible cosmological models in Kaluza-Klein-type multidimensional gravity with a curvature-nonlinear Lagrangian and a spherical extra space, taking into account the Casimir energy. First, we find a minimum of the effective…

General Relativity and Quantum Cosmology · Physics 2017-09-19 S. V. Bolokhov , K. A. Bronnikov

We construct a consistent quantum field theory of a dimensionally reduced self-interacting scalar field. The Kaluza-Klein dimensional reduction on the well-known $\Phi^{4}$ scalar theory, on a certain $(4+n)$ spacetime with an arbitrary…

High Energy Physics - Theory · Physics 2018-11-02 M. A. López-Osorio , E. Martínez-Pascual , G. Nápoles-Cañedo , J. J. Toscano

Simple cosmological models based upon five-dimensional Kaluza-Klein relativity are re-examined and interesting properties are indicated. These models are special cases of those obtained by Davidson et al. and Mann and Vincent, specifically,…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Darrell Jackson

We apply cosmological reconstruction methods to the $f(R,T)$ modified gravity, in its recently developed scalar-tensor representation. We do this analysis assuming a perfect fluid in a Friedmann-Lema\^{i}tre-Robsertson-Walker (FLRW)…

General Relativity and Quantum Cosmology · Physics 2024-07-24 Tiago B. Gonçalves , João Luís Rosa , Francisco S. N. Lobo

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

We use the mathematical framework of loop quantum gravity (LQG) to study the quantization of three dimensional (Riemannian) gravity with positive cosmological constant (Lambda>0). We show that the usual regularization techniques (successful…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alejandro Perez , Daniele Pranzetti