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Related papers: Leading higher-derivative corrections to Kerr geom…

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Using a recursive solution of the Einstein equations, we consider the perturbative expansion of the metric corresponding to a Kerr black hole. Because the metric is a function of two parameters, Newton's constant G and the Kerr spin…

High Energy Physics - Theory · Physics 2026-05-20 Poul H. Damgaard , Hojin Lee , Kanghoon Lee , Tabasum Rahnuma

We obtain rotating black hole solutions to the Einstein-Maxwell equations with the cosmological constant. There are eight parameters in the solutions. They are the physical mass $M$, the electric charge $Q$, the specific angular momentum…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Changjun Gao

We show that perturbatively-small higher-derivative corrections to the Einstein-Hilbert action can lead to order-one modifications of the quasinormal mode spectrum of near-extremal Kerr black holes. The spectrum of such black holes contains…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Pablo A. Cano , Marina David , Guido van der Velde

We study $\mathcal{N}=2$ supergravity with higher-derivative corrections that preserve the $\mathcal{N}=2$ supersymmetry and show that Kerr-Newman black holes are solutions to these theories. Modifications of the black hole entropy due to…

High Energy Physics - Theory · Physics 2016-11-23 Anthony M. Charles , Finn Larsen

[abridged] Chern-Simons (CS) modified gravity is a 4D effective theory that descends both from string theory and loop quantum gravity, and that corrects the Einstein-Hilbert action by adding the product of a scalar field and the…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Carlos F. Sopuerta , Nicolas Yunes

The Kerr solution is the cornerstone of General Relativity (GR) for modelling astrophysical rotating black holes and for testing GR through gravitational-wave observations and black hole imaging. Understanding how the Kerr geometry is…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Jibril Ben Achour , Adolfo Cisterna , Hugo Roussille

The null geodesic equations that describe motion of photons in Kerr spacetime are solved exactly in the presence of the cosmological constant $\Lambda$. The exact solution for the deflection angle for generic light orbits (i.e. non-polar,…

General Relativity and Quantum Cosmology · Physics 2011-04-08 G. V. Kraniotis

The Kerr metric is one of the most important solutions to Einstein's field equations, describing the gravitational field outside a rotating black hole. We thoroughly analyze the curvature scalar invariants to study the Kerr spacetime by…

General Relativity and Quantum Cosmology · Physics 2013-10-10 Majd Abdelqader , Kayll Lake

In the present paper, we construct spontaneously scalarized rotating black hole solutions in dynamical Chern-Simons (dCS) gravity by following the scalar field evolution in the decoupling limit. For the range of parameters where the Kerr…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Daniela D. Doneva , Stoytcho S. Yazadjiev

We generalize our previous work on gravitational lensing by a Kerr black hole in the strong deflection limit, removing the restriction to observers on the equatorial plane. Starting from the Schwarzschild solution and adding corrections up…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Bozza , F. De Luca , G. Scarpetta

In this study, we investigate rotating black hole solutions within a scalar Gauss-Bonnet gravity framework that incorporates a squared Gauss-Bonnet term. By employing a quadratic exponential coupling function between the scalar field and…

General Relativity and Quantum Cosmology · Physics 2025-08-14 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang

The small Kerr-anti-de Sitter black hole demonstrates instability due to the superradiance of either a massive or massless scalar field. Previous leading-order approximations of the spectrum are inefficient. In particular, the leading-order…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Xiang-hao Chu , Yi-qing Chu , Shou-shan Bao , Hong Zhang

The gravitational field around an astrophysical black hole (BH) is thought to be described by the Kerr spacetime, which is a solution of the Einstein equation. Signatures of binary black hole (BBH) coalescence in gravitational waves (GW)…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Debtroy Das , Swarnim Shashank , Cosimo Bambi

We investigate a slowly rotating black hole in four-dimensional extended Chern-Simons modified gravity. We obtain an approximate solution that reduces to the Kerr solution when a coupling constant vanishes. The Chern-Simons correction…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Kohkichi Konno , Toyoki Matsuyama , Satoshi Tanda

Behaviour of singularities of the rotating black holes under an arbitrary boost is considered on the basis of a complex representation of the Kerr theorem. We give a simple algorithm allowing to get explicit expressions for the metric and…

High Energy Physics - Theory · Physics 2011-04-15 Alexander Burinskii , Giulio Magli

The inclusion of spin effects in the binary dynamics for black hole and neutron stars is crucial for the computation of gravitational wave observables. Worldline supersymmetric models have shown to be particularly efficient at this task up…

High Energy Physics - Theory · Physics 2025-05-19 Domenico Bonocore , Anna Kulesza , Johannes Pirsch

We introduce new methods to numerically construct for the first time stationary axisymmetric black hole solutions in Einstein-aether theory and study their properties. The key technical challenge is to impose regularity at the spin-2, 1,…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Alexander Adam , Pau Figueras , Ted Jacobson , Toby Wiseman

We present stationary and axially-symmetric black hole solutions to the Einstein field equations sourced by an anisotropic fluid, describing rotating black holes embedded in astrophysical environments. We compute their physical properties,…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Pedro G. S. Fernandes , Vitor Cardoso

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

Solutions pertaining to a Kerr black hole with a flat horizon undergoing gradual rotation are explored in the context of gravitational theories modified by dynamical Chern-Simons terms with cylindrical metrics, which approach asymptotically…

General Relativity and Quantum Cosmology · Physics 2023-11-16 G. G. L. Nashed , Kazuharu Bamba