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We review black hole and star solutions for Horndeski theory. For non-shift symmetric theories, black holes involve a Kaluza-Klein reduction of higher dimensional Lovelock solutions. On the other hand, for shift symmetric theories of…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Eugeny Babichev , Christos Charmousis , Antoine Lehébel

We show that most classes of shift-symmetric degenerate higher-order scalar-tensor (DHOST) theories which satisfy certain degeneracy conditions are not compatible with the conditions for the existence of exact black hole solutions with a…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Masato Minamitsuji , James Edholm

This manuscript is the first in a series of instalments that investigate spherically symmetric solutions within the effective dynamics program of Loop Quantum Gravity. The choice of lattice is adapted such that it remains invariant under a…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Klaus Liegener , Saeed Rastgoo , Jorden Roberts

We study random "perturbation" to the geodesic equation. The geodesic equation is identified with a canonical differential equation on the orthonormal frame bundle driven by a horizontal vector field of norm $1$. We prove that the…

Probability · Mathematics 2016-02-11 Xue-Mei Li

We study the effect of adding an interaction in the $G_3$ term of Horndeski theory, where the propagation of gravitational waves are not modified. We derive the background and perturbation equations of motion from the action. We also derive…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Masroor C. Pookkillath , Nandan Roy

We study classical scalar fields in asymptotically Lifshitz spacetimes. By evading Derrick's theorem requiring the scalar potential to explicitly depend on the background coordinates, we induce a diffeomorphism invariance breaking and…

High Energy Physics - Theory · Physics 2023-01-11 D. C. Moreira , F. A Brito , J. C. Mota-Silva

We summarise the effective field theory of dark energy construction to explore observable predictions of linear Horndeski theories. Based on \cite{Perenon:2016blf}, we review the diagnostic of these theories on the correlation of the…

General Relativity and Quantum Cosmology · Physics 2019-06-14 Louis Perenon , Hermano Velten

The most general covariant action describing gravity coupled to a scalar field with only second order equations of motion, Horndeski's theory (also known as "Generalized Galileons"), provides an all-encompassing model in which single scalar…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-24 Jolyon Bloomfield

We study perturbation theory for large-scale structure in the most general scalar-tensor theories propagating a single scalar degree of freedom, which include Horndeski theories and beyond. We model the parameter space using the effective…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-09 Marco Crisostomi , Matthew Lewandowski , Filippo Vernizzi

We study the deformed kinematics of point particles in the Horava theory of gravity. This is achieved by considering particles as the optical limit of fields with a generalized Klein-Gordon action. We derive the deformed geodesic equation…

High Energy Physics - Theory · Physics 2010-02-23 Dario Capasso , Alexios P. Polychronakos

We introduce a second-order stochastic effective theory for light scalar fields in de Sitter spacetime, extending the validity of the stochastic approach beyond the massless limit and demonstrating how it can be used to compute…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Archie Cable , Arttu Rajantie

Kinetic mixing between the metric and scalar degrees of freedom is an essential ingredient in contemporary scalar-tensor theories. This often makes hard to understand their physical content, especially when derivative mixing is present, as…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Dario Bettoni , Miguel Zumalacárregui

The non-Hermitian but $\mathcal{PT}$-symmetric quantum field theories are known to have a pseudo-Hermitian interpretation. However the corresponding intertwining operator happens to be nonlocal that raises the question to what extent this…

High Energy Physics - Theory · Physics 2019-03-27 Oleg O. Novikov

We consider conformal field theories around points of large twist degeneracy. Examples of this are theories with weakly broken higher spin symmetry and perturbations around generalised free fields. At the degenerate point we introduce twist…

High Energy Physics - Theory · Physics 2017-09-20 Luis F. Alday

The properties of static, spherically symmetric configurations are considered in the framework of two models of nonlocally corrected gravity, suggested in S. Deser and R. Woodard., Phys. Rev. Lett. 663, 111301 (2007), and S. Capozziello et…

High Energy Physics - Theory · Physics 2010-04-06 K. A. Bronnikov , E. Elizalde

We explore alternative formulations of the analogy between viable Horndeski gravity and Eckart's first-order thermodynamics. We single out a class of identifications for the effective stress-energy tensor of the scalar field fluid that,…

General Relativity and Quantum Cosmology · Physics 2024-09-30 Luca Gallerani , Marcello Miranda , Andrea Giusti , Andrea Mentrelli

In cosmological perturbation theory it is convenient to use the scalar, vector, tensor (SVT) basis as defined according to how these components transform under 3-dimensional rotations. In attempting to solve the fluctuation equations that…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Matthew G. Phelps , Asanka Amarasinghe , Philip D. Mannheim

We propose a new family of complex PT-symmetric extensions of the Korteweg-de Vries equation. The deformed equations can be associated to a sequence of non-Hermitian Hamiltonians. The first charges related to the conservation of mass,…

Mathematical Physics · Physics 2008-11-26 Andreas Fring

The Horndeski theory of gravity is known as the most general scalar-tensor theory with second-order field equations. Recently, it was demonstrated by Gleyzes et al. that the Horndeski theory can further be generalized in such a way that…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Tsutomu Kobayashi , Yuki Watanabe , Daisuke Yamauchi

Geometric discretizations that preserve certain Hamiltonian structures at the discrete level has been proven to enhance the accuracy of numerical schemes. In particular, numerous symplectic and multi-symplectic schemes have been proposed to…

Classical Physics · Physics 2013-04-23 Denys Dutykh , Marx Chhay , Francesco Fedele