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Horndeski gravity holds a special position as the most general extension of Einstein's theory of general relativity with a single scalar degree of freedom and second-order field equations. Because of these features, Horndeski gravity is an…

General Relativity and Quantum Cosmology · Physics 2016-06-23 Hector O. Silva , Andrea Maselli , Masato Minamitsuji , Emanuele Berti

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

In this article we study gravitational lensing by non-rotating and asymptotically flat black holes in Horndeski theory. By adopting the strong deflection limit, we calculate the deflection angle, from which we obtain the positions and the…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Javier Badía , Ernesto F. Eiroa

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

In this thesis, we use numerical relativity to investigate gravitational waves from binary black holes in extensions of GR. We first study spherically symmetric gravitational collapse in cubic Horndeski theories of gravity. By varying the…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Tiago França

We construct spinning black holes (BHs) in shift-symmetric Horndeski theory. This is an Einstein-scalar-Gauss-Bonnet model wherein the (real) scalar field couples linearly to the Gauss-Bonnet curvature squared combination. The BH solutions…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

This article is intended to review the recent developments in the Horndeski theory and its generalization, which provide us with a systematic understanding of scalar-tensor theories of gravity as well as a powerful tool to explore…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Tsutomu Kobayashi

A charged black hole was predicted by the Einstein--Horndeski--Maxwell theory. In order to provide its observational signatures, we investigate its weak and strong deflection gravitational lensings. We find its weak deflection lensing…

General Relativity and Quantum Cosmology · Physics 2019-05-15 Cheng-Yi Wang , Yu-Fu Shen , Yi Xie

The time-like structure of the four-dimensional asymptotically flat Horndeski black holes is studied in detail. Focusing on the motion of massive neutral test particles, we construct the corresponding effective potential and classify the…

General Relativity and Quantum Cosmology · Physics 2025-11-04 D. A. Carvajal , P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

In obtaining exact solutions in gravitational theories containing arbitrary model functions, such as Horndeski gravity, one usually starts by prescribing the model functions of the theory and then goes on to solving their corresponding…

General Relativity and Quantum Cosmology · Physics 2019-07-02 Reginald Christian Bernardo , Ian Vega

The geodesic structure and thermal properties of Gaussian Black Holes (\textbf{GBH})s in modified and Einstein gravities are studied and compared. In the geodesic part, motion of a test particle (massive and massless) are discussed,…

General Relativity and Quantum Cosmology · Physics 2026-05-14 M. Haditale , B. Malekolkalami

The four laws of black hole mechanics have been put forward for a long time. However, the zeroth law, which states that the surface gravity of a stationary black hole is a constant on the event horizon, still lacks universal proof in…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Aofei Sang , Jie Jiang

We present an overview of recent developments in the numerical solution of Horndeski gravity theories, which are the class of all scalar-tensor theories of gravity that have second order equations of motion. We review several methods that…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Justin L. Ripley

In this work, we study the evaporation behaviors of asymptotically flat charged black holes in the Einstein-Horndeski gravity theory. Based on the thermodynamics of the Horndeski black hole, we present a physical understanding of the scalar…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Xiao Liang , Yu-Sen An , Chen-Hao Wu , Ya-Peng Hu

We study certain bi-scalar-tensor theories emanating from conformal symmetry requirements of Horndeski's four-dimensional action. The former scalar is a Galileon with shift symmetry whereas the latter scalar is adjusted to have a higher…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Christos Charmousis , Theodoros Kolyvaris , Eleftherios Papantonopoulos , Minas Tsoukalas

In this study, we investigate the thermodynamic properties of shift symmetric Horndeski and beyond Horndeski theories (theories in which only derivatives of the scalar field appear in the action). Utilizing Euclidean methods, we first…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Athanasios Bakopoulos , Thanasis Karakasis

We study the geodesic motion of massive and massless test particles in the background of a particular class of multiple charge black holes in gauged supergravity theories in D = 4. We have analysed the horizon structure along with the…

General Relativity and Quantum Cosmology · Physics 2015-10-13 Rashmi Uniyal , Anindya Biswas , Hemwati Nandan , K. D. Purohit

We carry out a systematic study on the motion of test particles in the region inner to the horizon of a hyperbolically symmetric black hole. The geodesic equations are written and analyzed in detail. The obtained results are contrasted with…

General Relativity and Quantum Cosmology · Physics 2020-04-08 L. Herrera , A. Di Prisco , J. Ospino , L. Witten

Since the rediscovery of Horndeski gravity, a lot of work has been devoted to the exploration of its properties, especially in the context of dark energy. However, one sector of this theory, namely the one containing the coupling of the…

General Relativity and Quantum Cosmology · Physics 2017-03-02 Massimiliano Rinaldi

In this paper the geodesics motion and accretion process around a subclass of Horndeski/Galileon black holes are investigated. Firstly, we present spherically symmetric geometries in a Horndeski/Galileon black hole spacetime by considering…

General Relativity and Quantum Cosmology · Physics 2018-06-26 Kh. Salahshoor , Kourosh Nozari
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