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We analyze the stationary, uncharged, rotating, vacuum solution to Weyl conformal gravity. We elucidate the causal and ergoregion structure of the spacetimes found in the parameter space of the metric for positive mass. These are then…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Miguel Yulo Asuncion , Keith Horne , Reinosuke Kusano , Martin Dominik

Gravitational entropy arises in string theory via coarse graining over an underlying space of microstates. In this review we would like to address the question of how the classical black hole geometry itself arises as an effective or…

High Energy Physics - Theory · Physics 2008-12-18 Vijay Balasubramanian , Jan de Boer , Sheer El-Showk , Ilies Messamah

Thanks to the recent advent of the event horizon telescope (EHT), we now have the opportunity to test the physical ramifications of the strong-field near-horizon regime for astrophysical black holes. Herein, emphasizing the trade-off…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Joshua Baines , Matt Visser

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

According to the no-hair theorem, astrophysical black holes are uniquely described by the Kerr metric. In order to test this theorem with observations in either the electromagnetic or gravitational-wave spectra, several Kerr-like spacetimes…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Tim Johannsen

It was shown recently that the static tidal response coefficients, called Love numbers, vanish identically for Kerr black holes in four dimensions. In this work, we confirm this result and extend it to the case of spin-0 and spin-1…

High Energy Physics - Theory · Physics 2021-05-26 Panagiotis Charalambous , Sergei Dubovsky , Mikhail M. Ivanov

We construct a family of vector fields that generate local symmetries in the solution space of low frequency massless field perturbations in the general Kerr geometry. This yields a one-parameter family of SL(2,R)x SL(2,R) algebras. We…

High Energy Physics - Theory · Physics 2015-06-03 David A. Lowe , Antun Skanata

We investigate thermodynamic curvatures of the Kerr and Reissner-Nordstr\"om (RN) black holes in spacetime dimensions higher than four. These black holes possess thermodynamic geometries similar to those in four dimensional spacetime. The…

High Energy Physics - Theory · Physics 2009-01-14 Jan E. Aman , Narit Pidokrajt

The spacetime around astrophysical black holes is thought to be described by the Kerr solution. However, even within general relativity, there is not yet a proof that the final product of the complete collapse of an uncharged body can only…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Jiahao Tao , Shafqat Riaz , Biao Zhou , Askar B. Abdikamalov , Cosimo Bambi , Daniele Malafarina

It has been observed that exact solutions for electromagnetic (EM) excitations of the Kerr-Schild (KS) geometry form outgoing beams which have very strong back reaction to metric and break the black hole horizon. As a result, interaction of…

High Energy Physics - Theory · Physics 2009-06-18 Alexander Burinskii

A combined model of the Kerr spinning particle and superparticle is considered. The structure of the Kerr geometry is presented in a complex form as being created by a complex source. A natural supergeneralization of this construction is…

High Energy Physics - Theory · Physics 2009-10-30 Alexander Burinskii

In general relativity, the Kerr metric uniquely represents the geometry surrounding an isolated, rotating black hole. An identification of significant non-Kerr features in some astrophysical source would then provide a `smoking-gun' for the…

General Relativity and Quantum Cosmology · Physics 2020-08-07 Arthur G Suvorov

We develop a method for constructing a 1-parameter family of globally-defined Love symmetry generators in rotating black hole spacetimes of general dimension. The key ingredient is to focus on the vicinity of the (physical) outer horizon,…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Finnian Gray , Cynthia Keeler , David Kubiznak , Victoria Martin

Arising from admissible extended scale-critical short-pulse initial data, we show that 3+1 dimensional Einstein vacuum equations admit dynamical Kerr black hole formation solutions. Our hyperbolic arguments combine the scale-critical…

General Relativity and Quantum Cosmology · Physics 2025-05-19 Xinliang An , Taoran He

We consider $f(R)$ gravity theories in the presence of a scalar field minimally coupled to gravity with a self-interacting potential in $(2+1)$-dimensions. Without specifying the form of the $f(R)$ function, we first obtain an exact black…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Thanasis Karakasis , Eleftherios Papantonopoulos , Zi-Yu Tang , Bin Wang

The nonlinear superposition of the delta-metric and the Kerr metric results in delta-Kerr metric that represents a deformed Kerr black hole with delta = 1 + q, where q > 0 is proportional to the nonrelativistic quadrupole moment of the…

General Relativity and Quantum Cosmology · Physics 2020-02-10 Alireza Allahyari , Hassan Firouzjahi , Bahram Mashhoon

We show that extremal Kerr-Bolt spacetimes have a hidden conformal symmetry. In this regard, we consider the wave equation of a massless scalar field propagating in extremal Kerr-Bolt spacetimes and find in the "near region", the wave…

High Energy Physics - Theory · Physics 2011-04-14 M. R. Setare , V. Kamali

We study the quasi-local energy (QLE) and the surface geometry for Kerr spacetime in the Boyer-Lindquist coordinates without taking the slow rotation approximation. We also consider in the region $r\leq2m$, which is inside the ergosphere.…

Differential Geometry · Mathematics 2017-06-08 Chengjie Yu , Jian-Liang Liu

There is a well-known, intuitive geometric correspondence between high-frequency QNMs of Schwarzschild black holes and null geodesics that reside on the light-ring : the real part of the mode's frequency relates to the geodesic's orbital…

General Relativity and Quantum Cosmology · Physics 2012-12-19 Huan Yang , David A. Nichols , Fan Zhang , Aaron Zimmerman , Zhongyang Zhang , Yanbei Chen

We address the astrophysical imaging of a family of deformed Kerr black holes (BHs). These are stationary, asymptotically flat black hole (BH) spacetimes, that are solutions of General Relativity minimally coupled to a massive, complex…

General Relativity and Quantum Cosmology · Physics 2016-11-02 F. H. Vincent , E. Gourgoulhon , C. Herdeiro , E. Radu