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We present a novel theoretical framework for analysing the stability of rotating black hole spacetimes through the conformal properties of the Weyl tensor. By introducing a new conformal invariant constructed from the electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Nader Haddad

A key result in the proof of black hole uniqueness in 4-dimensions is that a stationary black hole that is ``rotating''--i.e., is such that the stationary Killing field is not everywhere normal to the horizon--must be axisymmetric. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands , Akihiro Ishibashi , Robert M. Wald

Inspired by the recent work on the spacetime structure near generic black hole horizons [1], the near horizon charges for an explicit example in higher dimensions than four (d > 4), namely for the five dimensional Myers-Perry metric with…

High Energy Physics - Theory · Physics 2021-03-18 Zahra Mirzaiyan

Perturbative calculations of gravitational radiation near the horizons of rotating black holes in the frequency domain have been plagued by divergence issues. We resolve this longstanding obstacle by constructing a nonsingular source term…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Rico K. L. Lo , Yucheng Yin

We study how the charges of the black rings measured at the asymptotic infinity are encoded in the near-horizon metric and gauge potentials, independent of the detailed structure of the connecting region. Our analysis clarifies how…

High Energy Physics - Theory · Physics 2008-11-26 Kentaro Hanaki , Keisuke Ohashi , Yuji Tachikawa

In this work, we start by examining a spherically symmetric black hole within the framework of non-commutative geometry and apply a modified Newman-Janis method to obtain a new rotating solution. We then investigate its consequences,…

General Relativity and Quantum Cosmology · Physics 2025-01-07 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio , Ali Övgün

We present a parametric study of the spacetime structures obtainable in Weyl conformal gravity's dyonic Reissner-Nordstr\"{o}m solution. We derive expressions for photon sphere radii and horizons for this metric in terms of the conformal…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Reinosuke Kusano , Miguel Yulo Asuncion , Keith Horne

We consider generic, or "dirty" (surrounded by matter), stationary rotating black holes with axial symmetry. The restrictions are found on the asymptotic form of metric in the vicinity of non-extremal, extremal and ultra-extremal horizons,…

General Relativity and Quantum Cosmology · Physics 2015-06-05 I. V. Tanatarov , O. B. Zaslavskii

Quasinormal modes (QNMs) are usually characterized by their time dependence; oscillations at specific frequencies predicted by black hole (BH) perturbation theory. QNMs are routinely identified in the ringdown of numerical relativity…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Richard Dyer , Christopher J. Moore

We study the evolution of nonlinear superhorizon perturbations in a universe dominated by a complex scalar field. The analysis is performed adopting the gradient expansion approach, in the constant mean curvature slicing. We derive general…

General Relativity and Quantum Cosmology · Physics 2021-10-18 Luis E. Padilla , Juan Carlos Hidalgo , Darío Núñez

We investigate two-dimensional higher derivative gravitational theories in a Riemann-Cartan framework and obtain the most general static black hole solutions in conformal coordinates. We also consider the hamiltonian formulation of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Mignemi

There are a number of algebraic classifications of spacetimes in higher dimensions utilizing alignment theory, bivectors and discriminants. Previous work gave a set of necessary conditions in terms of discriminants for a spacetime to be of…

General Relativity and Quantum Cosmology · Physics 2011-07-06 A. A. Coley , S. Hervik , M. N. Durkee , M. Godazgar

Computing leading higher curvature contributions to thermodynamic quantities of AdS black hole is drastically simplified once the higher curvature terms are expressed in terms of powers of Weyl tensor by applying proper field redefinitions,…

High Energy Physics - Theory · Physics 2024-07-23 Liang Ma , Peng-Ju Hu , Yi Pang , Hong Lu

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

We show that the so-called flat-space rotational Killing vector method for measuring the Cartesian components of a black hole spin can be derived from the surface integral of Weinberg's pseudotensor over the apparent horizon surface when…

General Relativity and Quantum Cosmology · Physics 2016-07-26 Vassilios Mewes , José A. Font , Pedro J. Montero

A new method has been developed recently to derive Hawking radiations from black holes based on considerations of gravitational and gauge anomalies at the horizon gr-qc/0502074 hep-th/0602146. In this paper, we apply the method to…

High Energy Physics - Theory · Physics 2010-10-27 Satoshi Iso , Takeshi Morita , Hiroshi Umetsu

We describe a midi-superspace quantization scheme for generic single horizon black holes in which only the spatial diffeomorphisms are fixed. The remaining Hamiltonian constraint yields an infinite set of decoupled eigenvalue equations: one…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Gegenberg , G. Kunstatter , R. D. Small

We employ the Cartan-Karlhede algorithm in order to completely characterize the class of G\"odel-like spacetimes for three-dimensional gravity. By examining the permitted Segre types (or P-types) for the Ricci tensor we present the results…

General Relativity and Quantum Cosmology · Physics 2018-09-06 D. Brooks , D. D. McNutt , J. P. Simard , N. Musoke

Observational data of the Sagittarius A* (Sgr A*) shadow released by the Event Horizon Telescope (EHT) are used to investigate eventual deviations in the black hole shadow radius, aiming to seek physics beyond the Standard Model (SM) coming…

General Relativity and Quantum Cosmology · Physics 2024-09-26 A. S. Lemos , J. A. V. Campos , F. A. Brito

We consider extremal black hole solutions to the vacuum Einstein equations in dimensions greater than five. We prove that the near-horizon geometry of any such black hole must possess an SO(2,1) symmetry in a special case where one has an…

High Energy Physics - Theory · Physics 2008-11-26 Pau Figueras , Hari K Kunduri , James Lucietti , Mukund Rangamani