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We establish that regular black holes can form from gravitational collapse. Our model builds on a recent construction that realized regular black holes as exact solutions to purely gravitational theories that incorporate an infinite tower…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

The Petrov type D equation imposed on the 2-metric tensor and the rotation scalar of a cross-section of an isolated horizon can be used to uniquely distinguish the Kerr - (anti) de Sitter spacetime in the case the topology of the…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Denis Dobkowski-Ryłko , Wojciech Kamiński , Jerzy Lewandowski , Adam Szereszewski

We investigate the stability of massless topological black holes in AdS_d when minimally coupled to a scalar field of negative mass-squared. In many cases such black holes are unstable even though the field is above the BF bound and the…

High Energy Physics - Theory · Physics 2016-10-18 Alexandre Belin , Alexander Maloney

This work concerns scalar field theories with topologically nontrivial vacuum manifold in rotationally symmetric backgrounds of arbitrary dimension. Lagrangians with canonical and generalized kinetic terms are considered, and a Bogomol'nyi…

High Energy Physics - Theory · Physics 2026-05-15 I. Andrade , M. A. Liao

We consider quantum field theory in four-dimensional Minkowski spacetime, with the position coordinates represented by twistors instead of the usual world-vectors. Upon imposing canonical commutation relations between twistors and dual…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz R. Taylor

We consider the analytic solutions of massive (bi)gravity which can be written in a simple form using advanced Eddington-Finkelstein coordinates. We analyse the stability of these solutions against radial perturbations. First we recover the…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Eugeny Babichev , Alessandro Fabbri

Recently, we introduced the "Newman-Penrose map," a novel correspondence between a certain class of solutions of Einstein's equations and self-dual solutions of the vacuum Maxwell equations, which we showed was closely related to the…

High Energy Physics - Theory · Physics 2022-10-26 Kara Farnsworth , Michael L. Graesser , Gabriel Herczeg

This work presents an application of Dynnikov coordinates in geometric group theory. We describe the orbits and dynamics of the action of Dehn twists $t_c$ and $t_d$ in the Dynnikov coordinate plane for a thrice-punctured disc $M$, where…

Geometric Topology · Mathematics 2025-01-14 Ferihe Atalan

We consider two-dimensional dilaton-gravity theories with a generic exponential potential for the dilaton, and obtain the most general black hole solutions in the Schwarzshild form. We discuss their geometrical and thermodynamical…

High Energy Physics - Theory · Physics 2009-10-28 S. Mignemi

Exact Kerr-Schild (KS) solutions for electromagnetic excitations of black-holes, have the form of singular beams supported on twistor lines of the KS geometry. These beams have a very strong back-reaction on the metric and horizon and…

High Energy Physics - Theory · Physics 2015-05-14 Alexander Burinskii

Exact solutions describing rotating black holes can offer important tests for alternative theories of gravity, motivated by the dark energy and dark matter problems. We present an analytic rotating black hole solution for a class of…

High Energy Physics - Theory · Physics 2018-04-10 Francesco Filippini , Gianmassimo Tasinato

A four-dimensional dilaton-gravity action whose spherical reduction to two dimensions leads to the Jackiw-Teitelboim theory is presented. A nonsingular black hole solution of the theory is obtained and its physical interpretation is…

High Energy Physics - Theory · Physics 2010-11-01 M. Cadoni , S. Mignemi

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered. Their properties…

General Relativity and Quantum Cosmology · Physics 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

As argued in arXiv:2104.10172, introducing a non-minimally coupled scalar field, three-dimensional Einstein gravity can be extended by infinite families of theories which admit simple analytic generalizations of the charged BTZ black hole.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Pablo Bueno , Oscar Lasso Andino , Javier Moreno , Guido van der Velde

We reformulate the twistor construction for hyper- and quaternion-K\"ahler manifolds, introducing new sigma models that compute scalar potentials for the geometry. These sigma models have the twistor space of the quaternionic manifold as…

High Energy Physics - Theory · Physics 2024-06-14 Tim Adamo , Lionel Mason , Atul Sharma

In this paper we discuss the twistor equation in Lorentzian spin geometry. In particular, we explain the local conformal structure of Lorentzian manifolds, which admit twistor spinors inducing lightlike Dirac currents. Furthermore, we…

Differential Geometry · Mathematics 2007-05-23 Helga Baum , Felipe Leitner

We study a massless scalar field propagating in the background of a five-dimensional rotating black hole. We showed that in the Myers-Perry metric describing such a black hole the massless field equation allows the separation of variables.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Valeri Frolov , Dejan Stojkovic

The Teukolsky wave equations governing fields of spin 0, $\tfrac{1}{2}$, 1, $\tfrac{3}{2}$, and 2 are generalized to the case of conformally separable solutions for accreting, rotating black holes.

General Relativity and Quantum Cosmology · Physics 2023-02-03 Andrew J. S. Hamilton , Tyler McMaken

We study the linear perturbations about nonrotating black holes in the context of degenerate higher-order scalar-tensor (DHOST) theories, using a systematic approach that extracts the asymptotic behaviour of perturbations (at spatial…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

We study gravitational perturbations on the near-horizon region of extremal and near-extremal rotating black holes in a general higher-derivative extension of Einstein gravity. We find a decoupled modified Teukolsky equation that rules the…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Pablo A. Cano , Marina David