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The multipole moments of black holes in general relativity obey certain consistency relations known as the no-hair theorems. The details of this multipolar structure are imprinted into the gravitational waves emitted by binary black holes,…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Nicholas Loutrel , Richard Brito , Andrea Maselli , Paolo Pani

Using a second law of complexity, we prove a black hole singularity theorem. By introducing the notion of trapped extremal surfaces, we show that their existence implies null geodesic incompleteness inside globally hyperbolic black holes.…

High Energy Physics - Theory · Physics 2025-07-31 Vyshnav Mohan

I discuss a recent analytic proof of bypassing the no-hair conjecture for two interesting (and quite generic) cases of four-dimensional black holes: (i) black holes in Einstein-Yang-Mills-Higgs (EYMH) systems and (ii) black holes in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. E. Mavromatos

This proceeding reviews the recent finding of a certain class of, regular on and outside the horizon, exact hairy black hole solutions in four dimensional general relativity. Their construction follow from the integrability of a…

General Relativity and Quantum Cosmology · Physics 2012-11-14 Andres Anabalon

It has recently been revealed that spinning black holes of the photon-fluid model can support acoustic `clouds', stationary density fluctuations whose spatially regular radial eigenfunctions are determined by the $(2+1)$-dimensional…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Shahar Hod

We prove uniqueness theorems for asymptotically flat, stationary, extremal, vacuum black hole solutions, in four and five dimensions with one and two commuting rotational Killing fields respectively. As in the non-extremal case, these…

High Energy Physics - Theory · Physics 2010-03-18 Pau Figueras , James Lucietti

We show a uniqueness theorem for charged rotating black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and spherical topology of…

High Energy Physics - Theory · Physics 2010-12-24 Shinya Tomizawa

Any recipe to grow black hole hair has to circumvent no-hair theorems by violating some of their assumptions. Recently discovered hairy black hole solutions exist due to the fact that their scalar fields don't inherit the symmetries of the…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Ivica Smolić

We present the first exact, non-singular black hole solution in General Relativity sourced by a Dirac-Born-Infeld (DBI) scalar field. Crucially, the solution is exclusively supported by \emph{the phantom branch of the DBI action},…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Tausif Parvez , S. Shankaranarayanan

We prove under certain weak assumptions a black hole no-hair theorem in spherically symmetric spacetimes for self-gravitating time-dependent multiple scalar fields with an arbitrary target space admitting a Killing field with a non-empty…

General Relativity and Quantum Cosmology · Physics 2024-01-25 Stoytcho Yazadjiev , Daniela Doneva

This work tests the no-hair conjecture in $f(R)$ gravity models. No-hair conjecture asserts that all black holes in General Relativity coupled to any matter must be Kerr-Newman type. However, the conjecture fails in some cases with…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Alan Sunny , Semin Xavier , S. Shankaranarayanan

This paper consists of two parts. In the first part we describe the recent works on the inverse problems for the wave equation in $(n+1)$-dimensional space equipped with pseudo-Riemannian metric with Lorentz signature. We study the…

Analysis of PDEs · Mathematics 2014-07-22 Gregory Eskin

In this work we check the validity of the no scalar hair theorem in charged axisymmetric stationary black holes for a wide class of scalar tensor theories.

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. Sen , N. Banerjee

We investigate the possibility of having hairs on the cosmological horizon. The cosmological horizon shares similar properties of black hole horizons in the aspect of having hairs on the horizons. For those theories admitting haired black…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Rong-Gen Cai , Jeong-Young Ji

We establish a no inner-horizon theorem for black holes with charged scalar hairs. Considering a general gravitational theory with a charged scalar field, we prove that there exists no inner Cauchy horizon for both spherical and planar…

General Relativity and Quantum Cosmology · Physics 2021-04-06 Rong-Gen Cai , Li Li , Run-Qiu Yang

The no-hair theorem can be tested in the strong gravity regime by using the top-bottom approach and the bottom-top approach. The non-Kerr spacetime of the later approach is an ideal framework to do the tests in the region very close to the…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Usman A. Gillani , Rehana Rahim , Khalid Saifullah

The Kerr-Newman metric is the unique vacuum solution of the General Relativistic field equations, in which any singularities or spacetime pathologies are hidden behind horizons. They are believed to describe the spacetimes of massive…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Dimitrios Psaltis

In this paper, we follow up on the discovery of a new type of solution in the Einstein-Maxwell system coupled minimally to a self-interacting complex scalar field. For sufficiently large gravitational coupling and sufficiently small…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Yves Brihaye , Betti Hartmann

We discuss universal properties of axisymmetric and stationary configurations consisting of a central black hole and surrounding matter in Einstein-Maxwell theory. In particular, we find that certain physical equations and inequalities…

General Relativity and Quantum Cosmology · Physics 2011-04-28 Marcus Ansorg , Jörg Hennig , Carla Cederbaum

The spins of a number of supermassive and stellar-mass black holes have been measured based on detections of thermal continuum emission and relativistically broadened iron lines in their x-ray spectra. Likewise, quasiperiodic variability…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Tim Johannsen
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