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We present two rotating black hole solutions with axion $\xi$, dilaton $\phi$ and two U(1) vector fields. By applying the "Newman-Janis trick" to a metric with 3 arbitrary parameters we find a rotating metric $g_{\mu\nu}$ with 4 such…

General Relativity and Quantum Cosmology · Physics 2009-05-18 E. Kyriakopoulos

The recent nonlocal generalization of Einstein's theory of gravitation reduces in the Newtonian regime to a nonlocal and nonlinear modification of Poisson's equation of Newtonian gravity. The nonlocally modified Poisson equation implies…

General Relativity and Quantum Cosmology · Physics 2015-06-03 C. Chicone , B. Mashhoon

In the region where the gravitational field is strong, we have examined the influence of different gravities on the accretion disk formed due to spherical accretion. To achieve this, we obtain numerical solutions of the GRH equations,…

General Relativity and Quantum Cosmology · Physics 2024-05-27 Orhan Donmez

Studying the dynamical, nonlinear regime of modified theories of gravity remains a theoretical challenge that limits our ability to test general relativity. Here we consider two generally applicable, but approximate methods for treating…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Maxence Corman , Luis Lehner , William E. East , Guillaume Dideron

In this paper, we present a rotating de Rham-Gabadadze-Tolley black hole with a positive cosmological constant in massive gravity, achieved by applying a modified Newman-Janis algorithm. The black hole exhibits stable orbits of constant…

General Relativity and Quantum Cosmology · Physics 2023-07-28 Mohsen Fathi , J. R. Villanueva , Norman Cruz

Given a smooth globally hyperbolic $(3+1)$-dimensional spacetime satisfying the Einstein vacuum equations (possibly with cosmological constant) and an inextendible timelike geodesic, we construct a family of metrics depending on a small…

General Relativity and Quantum Cosmology · Physics 2024-08-14 Peter Hintz

In this paper, we first investigate some aspects of frame dragging in strong gravity. The computations are carried out for the Kerr black hole and for the rotating Janis-Newman-Winicour solution, that is known to have a naked singularity on…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Tathagata Karmakar , Tapobrata Sarkar

We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or {\it mapping} between modified gravity models built as scalars out of…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Merce Guerrero , Gerardo Mora-Pérez , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

This note includes results of a study of stationary spherically symmetric ``dark holes'', objects merging central black holes and peripheral scalar graviton dark haloes arising in the framework of the modified gravity -- the quartet-metric,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Yu. F. Pirogov , O. V. Zenin

We obtain a new class of stationary axisymmetric spacetimes by using the G\"urses-G\"ursey metric with an appropriate mass function in order to generate a rotating core of matter that may be smoothly matched to the exterior Kerr metric. The…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Angel D. Masa , Vilson T. Zanchin

We prove the global non-linear stability, without symmetry assumptions, of slowly rotating charged black holes in de Sitter spacetimes in the context of the initial value problem for the Einstein-Maxwell equations: If one perturbs the…

Analysis of PDEs · Mathematics 2020-05-28 Peter Hintz

We present a new exact solution of Einstein-Maxwell field equations which represents a rotating black hole with both electric and magnetic charges immersed in a universe which itself is also rotating and magnetized, i.e. the dyonic…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Andrea Di Pinto , Silke Klemm , Adriano Viganò

We explicitly construct the metric of a Kerr black hole that is tidally perturbed by the external universe in the slow-motion approximation. This approximation assumes that the external universe changes slowly relative to the rotation rate…

General Relativity and Quantum Cosmology · Physics 2014-04-14 Nicolas Yunes , Jose Gonzalez

The gravitational waves emitted in the ringdown phase of binary black-hole coalescence are a unique probe of strong gravity. Understanding how deviations from general relativity affect the ringdown phase of black holes, however, is…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Adrian Ka-Wai Chung , Nicolas Yunes

Weyl conformal symmetry can solve the problem the spacetime singularities present in Einstein's gravity. In a recent paper, two of us have found a singularity-free rotating black hole solution in conformal gravity. In addition to the mass…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Cosimo Bambi , Zheng Cao , Leonardo Modesto

Recent advancements in observational techniques have led to new tests of the general relativistic predictions for black-hole spacetimes in the strong-field regime. One of the key ingredients for several tests is a metric that allows for…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Dirk Heumann , Dimitrios Psaltis

One of the central goals of the newborn field of gravitational wave astronomy is to test gravity in the highly nonlinear, strong field regime characterizing the spacetime of black holes. In particular, "black hole spectroscopy" (the…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Kostas Glampedakis , George Pappas , Hector O. Silva , Emanuele Berti

In this study, we investigate a nonlinear mechanism driving the formation of scalarized rotating black holes within a scalar-Gauss-Bonnet gravity framework that includes an additional squared Gauss-Bonnet term. With the specific coupling…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang

We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein vacuum equation: linearized perturbations of a Kerr metric decay at an inverse polynomial rate to a linearized Kerr metric plus a pure gauge…

Analysis of PDEs · Mathematics 2019-07-17 Dietrich Häfner , Peter Hintz , András Vasy

We present a novel approach for the construction of interior solutions for the Kerr metric, extending J. Ovalle's foundational work through ellipsoidal coordinate transformations. By deriving a physically plausible interior solution that…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Yu-Ching Chou