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In this paper, we study the different properties of static spherically symmetric black hole solutions of Einstein-Bel-Robinson gravity (EBR), a modified four-dimensional theory of gravity quartic in curvature. We look at the orbit of…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Seyed Naseh Sajadi , Supakchai Ponglertsakul , Dhruba Jyoti Gogoi

We construct slowly rotating black-hole solutions of Einsteinian cubic gravity (ECG) in four dimensions with flat and AdS asymptotes. At leading order in the rotation parameter, the only modification with respect to the static case is the…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Connor Adair , Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Robert B. Mann

We study slowly rotating black hole solutions in the six independent theories of Einstein Quartic Gravity (EQG) in four dimensions. Unlike in the static case for which all six theories yield the same solution, for rotating black holes we…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Gareth Arturo Marks , Robert B. Mann , Damian Sheppard

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

Higher curvature gravity usually has complicated field equations, and solving them analytically is strenuous. In this work, we obtain an analytical charged black hole (BH) solution in higher curvature gravity using the thermodynamics of…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Seyed Naseh Sajadi , Supakchai Ponglertsakul

Gravity models given by higher-order scalar curvature corrections are believed to bear important consequences. The Einstein-Bel-Robinson gravity, with quartic curvature modification, motivated Sajadi et al to explore static spherically…

General Relativity and Quantum Cosmology · Physics 2024-04-11 B. Hamil , B. C. Lütfüoğlu

We derive a stationary and axisymmetric black hole solution in Einstein-Dilaton-Gauss-Bonnet gravity to quadratic order in the ratio of the spin angular momentum to the black hole mass squared. This solution introduces new corrections to…

General Relativity and Quantum Cosmology · Physics 2015-02-24 Dimitry Ayzenberg , Nicolas Yunes

We study the superradiant scattering of gravitational waves by a nearly extremal black hole (dimensionless spin $a=0.99$) by numerically solving the full Einstein field equations, thus including backreaction effects. This allows us to study…

General Relativity and Quantum Cosmology · Physics 2014-03-26 William E. East , Fethi M. Ramazanoğlu , Frans Pretorius

Since the recent derivation of a well-defined $D\rightarrow 4$ limit for regularized 4D Einstein Gauss-Bonnet (4DEGB) gravity, there has been considerable interest in testing it as an alternative to Einstein's general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Michael Gammon , Robert Mann

In this paper, we study the physical properties of black holes in the framework of the recently proposed Einstien-Bel-Robinson gravity. We show that interestingly the theory propagates a transverse and massive graviton on a maximally…

General Relativity and Quantum Cosmology · Physics 2024-11-12 S. N. Sajadi , Robert B. Mann , H. Sheikhahmadi , M. Khademi

We study the black ring solution in the Einstein-Gauss-Bonnet (EGB) theory at large $D$. By using the $1/D$ expansion in the near horizon region we derive the effective equations for the slowly rotating black holes in the EGB theory. The…

High Energy Physics - Theory · Physics 2018-08-01 Bin Chen , Peng-Cheng Li , Cheng-Yong Zhang

We obtain an exact slowly rotating Einstein-bumblebee black hole solution by solving the corresponding $rr$ and $t\phi$ components of the gravitational field equations in both cases: A, $b_\mu=(0,b(r),0,0)$; B,…

General Relativity and Quantum Cosmology · Physics 2021-02-19 Chikun Ding , Xiongwen Chen

In this work we find charged slowly rotating solutions in the four-dimensional Einstein-power-Maxwell non-linear electrodynamics assuming a negative cosmological constant. By solving the system of coupled field equations explicitly we…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Grigoris Panotopoulos , Angel Rincon

We examine the black hole bomb model which consists of a rotating black hole of five-dimenensional minimal ungauged supergravity and a reflecting mirror around it. For low-frequency scalar perturbations, we find solutions to the…

High Energy Physics - Theory · Physics 2015-06-22 Alikram N. Aliev

We present new, exact, rotating and accelerating solutions within the framework of five-dimensional Einstein-Gauss-Bonnet theory at the Chern-Simons point. The rotating solutions describe black holes characterized by a single rotation…

The study of periodic orbits in extreme-mass-ratio inspirals is essential for understanding the dynamics of small bodies orbiting supermassive black holes. In this paper, we study the periodic orbits and their corresponding gravitational…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Shuo Lu , Hao-Jie Lin , Tao Zhu , Yu-Xiao Liu , Xin Zhang

In this work, the solution of the Einstein equations for a slowly rotating black hole with Born-Infeld charge is obtained. Geometrical properties and horizons of this solution are analyzed. The conditions when the ADM mass (as in the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Diego Julio Cirilo-Lombardo

We obtain a slowly rotating black hole solution in the scalar-tensor theory of gravity with nonminimal derivative coupling to the Einstein tensor. Properties of the obtained solution have been examined carefully. We also investigate the…

High Energy Physics - Theory · Physics 2018-11-14 M. M. Stetsko

This paper investigates the orbital dynamics and gravitational wave radiation characteristics of neutral test particles around a static spherically symmetric charged black hole (BH) in 4D Einstein-Gauss-Bonnet (4D-EGB) gravity theory. We…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Liping Meng , Zhaoyi Xu , Meirong Tang

We investigate a slowly rotating black hole solution in a novel Einstein-Maxwell-scalar theory, which is prompted by the classification of general Einstein-Maxwell-scalar theories. The gyromagnetic ratio of this black hole is calculated,…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Jianhui Qiu
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