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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

Rapidly-rotating black-hole spacetimes outside general relativity are key to many tests of Einstein's theory. We here develop an efficient spectral method to represent such spacetimes analytically, in closed-form, and to high accuracy, in a…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

We present a discussion of the periodicity in imaginary time of maximally extended black hole spacetimes without reference to Euclidean manifolds. As motivation, we first demonstrate our approach for the Rindler geometry in flat space…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Bernardo Araneda , Bernard F. Whiting

We derive an effective Kerr metric from an effective Schwarzschild metric inspired by loop quantum gravity through the Newman-Janis algorithm. The resulting spacetime is free from the classical ring singularity and does not allow the…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Francesco Fazzini

We present a new initial data formulation to solve the full set of Einstein equations for spacetimes that contain a black hole under general conditions. The method can be used to construct complete initial data for spacetimes (the full…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Antonios Tsokaros , Kōji Uryū , Stuart L. Shapiro

We study the quantum improvement of Kerr black holes with mass-dependent scale identifications in asymptotically safe gravity. We find that a physically sensible identification can only be a function of $Mr$ and the area $A=4\pi(r^2+a^2)$…

High Energy Physics - Theory · Physics 2024-10-11 Chiang-Mei Chen , Yi Chen , Akihiro Ishibashi , Nobuyoshi Ohta

We consider black holes generically sourced by quantum matter described by regular wavefunctions. This allows for integrable effective energy densities and the removal of Cauchy horizons in spherically symmetric configurations. Moreover, we…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Roberto Casadio , Andrea Giusti , Jorge Ovalle

In the context of f(R) modified gravity theories, we study the Kerr-Newman black-hole solutions. We study non-zero constant scalar curvature solutions and discuss the metric tensor that satisfies the modified field equations. We determine…

General Relativity and Quantum Cosmology · Physics 2011-10-04 J. A. R. Cembranos , A. de la Cruz-Dombriz , P. Jimeno Romero

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

Recently the non-local gravity theory has come out to be a good candidate for an effective field theory of quantum gravity and also it can provide rich phenomenology to understand late-time accelerating expansion of the universe. For any…

General Relativity and Quantum Cosmology · Physics 2019-08-23 Utkarsh Kumar , Sukanta Panda , Avani Patel

We implement a probe counterpart of Newman-Janis algorithm, which Wick rotates the all-orders geodesic deviation equation into a part of exact spinning-particle equations of motion. Consequently, the gravitational dynamics of the Kerr black…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Joon-Hwi Kim

We show that at 1PN all four-dimensional black hole solutions in asymptotically flat spacetimes can be derived from leading singularities involving minimally coupled three-particle amplitudes. Furthermore, we show that the rotating…

High Energy Physics - Theory · Physics 2020-01-29 Nathan Moynihan

We derive an exact radiating Kerr-Newman like black hole solution, with constant curvature $R=R_0$ imposed, to {\it metric} $f(R)$ gravity via complex transformations suggested by Newman-Janis. This generates a geometry which is precisely…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Sushant G. Ghosh , Sunil D. Maharaj , Uma Papnoi

In this paper we obtain an approximate solution of Einstein field equations which describes a general boosted Kerr-Newman black hole relative to a Lorentz frame at future null infinity. The boosted black hole is obtained from a general…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Rodrigo Maier

The Newman-Janis algorithm is supplemented with a null rotation and applied to the tensors of the Reissner-Nordstr\"om spacetime to generate the metric, Maxwell, Ricci and Weyl tensors for the Kerr-Newman spacetime. This procedure also…

General Relativity and Quantum Cosmology · Physics 2014-07-18 Aidan J. Keane

Static, spherically symmetric black holes immersed in a dark matter halo with a Hernquist-type density profile have been derived by Cardoso et. al. in Ref. \redcite{Cardoso:2021wlq}. Using the Newman-Janis algorithm, we construct the metric…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Malihe Heydari-Fard , Mohaddese Heydari-Fard

We study quantum gravity effects for Myers-Perry black holes assuming that the leading contributions arise from the renormalization group evolution of Newton's coupling. Provided that gravity weakens following the asymptotic safety…

High Energy Physics - Theory · Physics 2015-06-17 Daniel F. Litim , Konstantinos Nikolakopoulos

It is now widely accepted that the universe as we understand it is accelerating in expansion and fits the de Sitter model rather well. As such, a realistic assumption of black holes must place them on a de Sitter background and not…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Sarp Akcay , Richard Matzner

A set of features of the renormalization group improved Kerr spacetime taking into account the running of Newton's constant is presented. This set includes: Behavior of the critical surfaces and corrections to the mass and angular momentum…

High Energy Physics - Theory · Physics 2007-05-23 M. Reuter , E. Tuiran

We discuss spherically symmetric exact solutions of the Einstein equations for quintessential matter surrounding a black hole, which has an additional parameter ($\omega$) due to the quintessential matter, apart from the mass ($M$). In…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Sushant G. Ghosh