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Through full solvability of 2+1 dimensional general relativity we derive out exact dynamic inner metric of collapsing stars with inhomogeneous initial mass distribution but joining with outside Anti-deSitt-Schwarzschild black holes…

High Energy Physics - Theory · Physics 2020-04-15 Ding-fang Zeng

The $C$-metric is a boost-symmetric spacetime solution to the vacuum Einstein field equations which describes black holes that are uniformly accelerated under the tension of a cosmic string. Only recently the thermodynamics of accelerating…

General Relativity and Quantum Cosmology · Physics 2022-06-24 Kyriakos Destounis , Giacomo Mascher , Kostas D. Kokkotas

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 present the first exact and analytical solution in General Relativity describing an equilibrium configuration for two stationary black holes. The metric models two collinear extremal Kerr black holes immersed in an external and…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Marco Astorino , Matilde Torresan

No Kerr-like exact solution has yet been found in Chern-Simons modified gravity. Intrigued by this absence, we study stationary and axisymmetric metrics that could represent the exterior field of spinning black holes. For the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Grumiller , Nicolas Yunes

The inverse scattering method is applied to the investigation of the equilibrium configuration of black holes. A study of the boundary problem corresponding to this configuration shows that any axially symmetric, stationary solution of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. G. Varzugin

We study the interior of distorted stationary rotating black holes on the example of a Kerr black hole distorted by external static and axisymmetric mass distribution. We show that there is a duality transformation between the outer and…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Andrey A. Shoom

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

We construct a sort of regular black holes with a sub-Planckian Kretschmann scalar curvature. The metric of this sort of regular black holes is characterized by an exponentially suppressing gravity potential as well as an asymptotically…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Yi Ling , Meng-He Wu

An exact solution of Einsteins equations which represents a pair of accelerating and rotating black holes was presented by J. B. Griffiths and J. Podolsky [2]. In the paper [2] they have shown the explicit form of a spinning C-metric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kartheek R Solipuram

We derive regular black-hole solutions, including the Hayward metric, from four-dimensional action principles involving vector fields in addition to the metric. These black holes possess additional hair associated with the vector fields,…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Astrid Eichhorn , Pedro G. S. Fernandes

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

We construct dynamical many-black-hole spacetimes with well-controlled asymptotic behavior as solutions of the Einstein vacuum equation with positive cosmological constant. We accomplish this by gluing Schwarzschild-de Sitter or Kerr-de…

Analysis of PDEs · Mathematics 2020-01-29 Peter Hintz

The near horizon geometry of the rotating C-metric, describing accelerating Kerr-Newman black holes, is analysed. It is shown that, at extremality, even though not it is isomorphic to the extremal Kerr-Newman, it remains a warped and…

High Energy Physics - Theory · Physics 2016-07-26 Marco Astorino

This paper presents a new metric and studies slowly rotating Gauss-Bonnet black holes with one nonvanishing angular momentum in five dimensional anti-de Sitter spaces. Taking the angular momentum parameter $a$ up to second order, the slowly…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Rui-Hong Yue , De-Cheng Zou , Tian-Yi Yu , Zhan-Ying Yang

We present numerical evidences for the existence of rotating black hole solutions in d-dimensional Einstein-Maxwell theory with a cosmological constant and for $d$ odd. The metric used possesses $(d+1)/2$ Killing vectors and the solutions…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Y. Brihaye , T. Delsate

An exact solution of Einstein's equations which represents a pair of accelerating and rotating black holes (a generalised form of the spinning C-metric) is presented. The starting point is a form of the Plebanski-Demianski metric which, in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. B. Griffiths , J. Podolsky

Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are found. In even dimensions the solution has many similarities with the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Maximo Banados

The prediction of spacetime singularities, regions of infinite curvature where classical physics breaks down, is one of the most profound challenges in General Relativity (GR). In particular, black hole solutions such as the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Jose Pinedo Soto

We investigate the geometry of four dimensional black hole solutions in the presence of stringy higher curvature corrections to the low energy effective action. For certain supersymmetric two charge black holes these corrections drastically…

High Energy Physics - Theory · Physics 2014-11-18 Veronika Hubeny , Alexander Maloney , Mukund Rangamani