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In this paper, we prove the linear stability of weakly charged and slowly rotating Kerr-Newman black holes under coupled gravitational and electromagnetic perturbations. We show that the solutions to the linearized Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Lili He

According to general relativity, black holes are incomplete, which prevents developing a complete physical description of their dynamical formation and evolution once quantum effects are taken into account. Theories beyond general…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Raúl Carballo-Rubio

We propose a novel ansatz, where the full black hole geometry is written as a linear in mass perturbation of the associated extremal black hole base. Contrary to its "standard" version, the corresponding "extremal Kerr-Schild form" is no…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Mokhtar Hassaine , David Kubiznak , Aravindhan Srinivasan

The quantum Oppenheimer-Snyder model for higher-dimensional spacetimes is studied. The higher-dimensional quantum-corrected Schwarzschild black hole is obtained by the junction condition. It turns out that quantum bounces always occur in…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Zijian Shi , Xiangdong Zhang , Yongge Ma

We show how to reduce the general formulation of the mass-angular momentum inequality, for axisymmetric initial data of the Einstein equations, to the known maximal case whenever a geometrically motivated system of equations admits a…

General Relativity and Quantum Cosmology · Physics 2015-02-17 Ye Sle Cha , Marcus A. Khuri

In the framework of Einstein's gravity coupled to nonlinear electromagnetic fields, we study gravito-electromagnetic perturbations of magnetic regular black holes. The master equations of perturbations are obtained through Chandrasekhar's…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Kun Meng , Shao-Jun Zhang

We consider the corrections due to quantum fluctuations of fields on charged black holes induced from the energy-momentum trace anomaly. Although the number of horizons stays unchanged and their positions receive only finite corrections,…

High Energy Physics - Theory · Physics 2017-12-18 Jahed Abedi , Hessamaddin Arfaei , Alek Bedroya , Aida Mehin-Rasuliani , Milad Noorikuhani , Kamran Salehi-Vaziri

Quantum gravity theories predict deformations of black hole solutions relative to their classical counterparts. A model-independent approach was advocated in \cite{Binetti:2022xdi} that uses metric deformations parametrised in terms of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

The strategy of obtaining the familiar Kerr-Newman solution in general relativity is based on either using the metric ansatz in the Kerr-Schild form, or applying the method of complex coordinate transformation to a non-rotating charged…

High Energy Physics - Theory · Physics 2008-11-26 A. N. Aliev

We study conformally-invariant theories of gravity in six dimensions. In four dimensions, there is a unique such theory that is polynomial in the curvature and its derivatives, namely Weyl-squared, and furthermore all solutions of Einstein…

High Energy Physics - Theory · Physics 2013-05-21 H. Lu , Y. Pang , C. N. Pope

We elaborate on the anholonomic frame deformation method, AFDM, for constructing exact solutions with quasiperiodic structure in modified gravity theories, MGTs, and general relativity, GR. Such solutions are described by generic…

General Physics · Physics 2018-05-29 Laurenţiu Bubuianu , Sergiu I. Vacaru

We construct black hole solutions to Einstein-Born-Infeld gravity with a cosmological constant. Since an elliptic function appears in the solutions for the metric, we construct horizons numerically. The causal structure of these solutions…

High Energy Physics - Theory · Physics 2008-11-26 Sharmanthie Fernando , Don Krug

We study the quantum gravity corrected decoherence of quantum superpositions in the near-extremal Reissner-Nordstr\"om black holes. By employing the effective field theory approach, we model the black hole as a quantum system coupled to an…

High Energy Physics - Theory · Physics 2025-05-13 Ran Li , Zhong-Xiao Man , Jin Wang

We discuss the consequences of a duality-invariant Einstein-Planck relation on the equation of state of micro black holes. The results are analogous to those obtained from the "world crystal" model, but with some significative differences,…

General Relativity and Quantum Cosmology · Physics 2014-05-14 David Jou , Maria Stella Mongiovi' , Michele Sciacca

A mild version of the weak gravity conjecture (WGC) states that extremal black holes have charge-to-mass ratio larger or equal than one when higher-curvature interactions are taken into account. Since these corrections become more relevant…

High Energy Physics - Theory · Physics 2020-03-18 Pablo A. Cano , Tomas Ortin , Pedro F. Ramirez

We discuss a new class of solutions to the Einstein equations which describe a primordial black hole (PBH) in a flat Friedmann background. Such solutions arise if a Schwarzschild black hole is patched onto a Friedmann background via a…

Astrophysics · Physics 2008-11-26 Tomohiro Harada , B. J. Carr

The spectrum of known black-hole solutions to the stationary Einstein equations has been steadily increasing, sometimes in unexpected ways. In particular, it has turned out that not all black-hole-equilibrium configurations are…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Piotr T. Chruściel , João Lopes Costa , Markus Heusler

We investigate perturbations of a class of spherically symmetric solutions in massive gravity and bi-gravity. The background equations of motion for the particular class of solutions we are interested in reduce to a set of the Einstein…

General Relativity and Quantum Cosmology · Physics 2015-09-08 Tsutomu Kobayashi , Masaru Siino , Masahide Yamaguchi , Daisuke Yoshida

We construct exact solutions that describe the near horizon region of extremal rotating black holes in Einstein-Born-Infeld theory. Using generalized Komar integrals, we extract the electric charge and angular momentum from the near horizon…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Tomáš Hale , Robie A. Hennigar , David Kubizňák

We establish the full global non-linear stability of the Kerr-de Sitter family of black holes, as solutions of the initial value problem for the Einstein vacuum equations with positive cosmological constant, for small angular momenta, and…

Differential Geometry · Mathematics 2020-05-28 Peter Hintz , András Vasy