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We generalize the bumpy black hole framework to allow for alternative theory deformations. We construct two model-independent parametric deviations from the Kerr metric: one built from a generalization of the quasi-Kerr and bumpy metrics…

General Relativity and Quantum Cosmology · Physics 2011-05-25 Sarah Vigeland , Nicolás Yunes , Leo Stein

It is thought that the spacetime geometry around black hole candidates is described by the Kerr solution, but an observational confirmation is still missing. Today, the continuum-fitting method and the analysis of the iron K$\alpha$ line…

General Relativity and Quantum Cosmology · Physics 2015-08-27 Dan Liu , Zilong Li , Yifan Cheng , Cosimo Bambi

The no-hair theorem can be tested in the strong gravity regime by using the top-bottom approach and the bottom-top approach. The non-Kerr spacetime of the later approach is an ideal framework to do the tests in the region very close to the…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Usman A. Gillani , Rehana Rahim , Khalid Saifullah

The construction of a generic parametrization of spinning geometries which can be matched continuously to the Kerr metric is an important open problem in General Relativity. Its resolution is more than of academic interest, as it allows to…

General Relativity and Quantum Cosmology · Physics 2014-05-30 Vitor Cardoso , Paolo Pani , Joao Rico

We find general parameterizations for generic off-diagonal spacetime metrics and matter sources in general relativity (GR) and modified gravity theories when the field equations decouple with respect to certain types of nonholonomic frames…

General Relativity and Quantum Cosmology · Physics 2014-12-25 Tamara Gheorghiu , Olivia Vacaru , Sergiu I. Vacaru

We construct a closed-form, fully analytical 4-metric that approximately represents the spacetime evolution of non-precessing, spinning black hole binaries from infinite separations up to a few orbits prior to merger. We employ the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Louis Gallouin , Hiroyuki Nakano , Nicolas Yunes , Manuela Campanelli

We consider the metric of a generic axially symmetric rotating stationary black hole. The general approach is developed that enables us to construct coordinate frame regular near the horizon. As explicit examples, the Kerr and…

General Relativity and Quantum Cosmology · Physics 2018-09-19 O. B. Zaslavskii

The Kerr metric is a vacuum solution of the Einstein equations outside of a rotating black hole, but what interior matter is actually rotating and sourcing the Kerr geometry? Here, we describe a rotating exotic matter which can source the…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Ram Brustein , A. J. M. Medved

The low-energy limit of string theory contains an anomaly-canceling correction to the Einstein-Hilbert action, which defines an effective theory: Chern-Simons (CS) modified gravity. The CS correction consists of the product of a scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Nicolas Yunes , Frans Pretorius

It is thought that the spacetime metric around astrophysical black holes is well described by the Kerr solution of Einstein's gravity. However, a robust observational evidence of the Kerr nature of these objects is still lacking. Here we…

General Relativity and Quantum Cosmology · Physics 2018-10-02 Yerong Xu , Sourabh Nampalliwar , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Thomas Dauser , Javier A. Garcia , Jiachen Jiang

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

We hereby focus on the analytic geodesic extension of several regular rotating black holes (RRBHs) obtained throughout the Newman-Janis algorithm starting from some popular spherically symmetric regular black holes. It turns out that if the…

General Relativity and Quantum Cosmology · Physics 2023-03-31 Tian Zhou , Leonardo Modesto

We present a new geometrical approach to the study of accretion flows onto rotating (Kerr) black holes. Instead of Boyer-Lindquist coordinates, the standard choice in all existing numerical simulations in the literature, we employ the…

Astrophysics · Physics 2009-10-30 Jose A. Font , Jose M. Ibanez , Philippos Papadopoulos

We construct black hole solutions with spin-induced scalarization in a class of models where a scalar field is quadratically coupled to the topological Gauss-Bonnet term. Starting from the tachyonically unstable Kerr solutions, we obtain…

General Relativity and Quantum Cosmology · Physics 2021-01-12 Emanuele Berti , Lucas G. Collodel , Burkhard Kleihaus , Jutta Kunz

The Event Horizon Telescope collaboration has revealed the first direct image of a black hole, as per the shadow of a Kerr black hole of general relativity. However, other Kerr-like rotating black holes of modified gravity theories cannot…

General Relativity and Quantum Cosmology · Physics 2022-01-21 Misba Afrin , Sushant G. Ghosh

We explore black hole solutions in the context of Born-Infeld-f(R) gravity, a modified gravitational framework that extends both Born-Infeld and f(R) theories. By adopting a static, spherically symmetric spacetime ansatz, we derive an exact…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Salih Kibaroğlu

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 propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasi-radial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in the extreme Kerr limit a/M -> 1. This…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Yuk Tung Liu , Zachariah B. Etienne , Stuart L. Shapiro

The Chern-Simons modification to general relativity in four dimensions consists of adding to the Einstein-Hilbert term a scalar field that couples to the first class Pontryagin density. In this theory, which has attracted considerable…

General Relativity and Quantum Cosmology · Physics 2010-06-29 Leonardo Amarilla , Ernesto F. Eiroa , Gaston Giribet

The theory of f(R)-gravity is one of the theories of modified Einstein gravity. The vacuum solution, on the other hand, of the field equation is the solution for black hole geometry. We establish here an asymptotically flat rotating black…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Arghya Ranjan Das , Banibrata Mukhopadhyay