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We give a proof of the non-perturbative no hair theorems for a massive 2-form field with 3-form field strength for general stationary axisymmetric and static (anti)-de Sitter or asymptotically flat black hole spacetimes with some suitable…

General Relativity and Quantum Cosmology · Physics 2013-09-03 Sourav Bhattacharya

We present a proof of the no hair theorems corresponding to free massive non-perturbative Pauli-Fierz spin-2 and perturbative massive spin-1/2 fields for stationary axisymmetric de Sitter black hole spacetimes of dimension four with two…

General Relativity and Quantum Cosmology · Physics 2012-12-10 Sourav Bhattacharya , Amitabha Lahiri

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 prove a no charged scalar hair theorem for static black holes in de-Sitter spacetime in the region between the event horizon and the cosmological horizon. The proof does not depend on the assumption of spherical symmetry. It allows for…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Yu-Ping An , Li Li

In a recent paper Ca\~nate (CQG, {\bf 35}, 025018 (2018)) proved a no hair theorem to static and spherically symmetric or stationary axisymmetric black holes in general $f(R)$ gravity. The theorem applies for isolated asymptotically flat or…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Joseph Sultana , Demosthenes Kazanas

It is proved that spherically symmetric asymptotically flat neutral black holes cannot support spatially regular static configurations made of massive scalar fields with non-minimal coupling to gravity. Interestingly, our compact no-hair…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Shahar Hod

It has been well known since the 1970s that stationary black holes do not generically support scalar hair. Most of the no-hair theorems which support this depend crucially upon the assumption that the scalar field has no time dependence.…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Alexander A. H. Graham , Rahul Jha

We provide strong numerical evidence for a new no-scalar-hair theorem for black holes in general relativity, which rules out spherical scalar hair of static four dimensional black holes if the scalar field theory, when coupled to gravity,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Hertog

We prove the non existence of massive scalar, vector and tensor hairs outside the surface of a static and stationary compact reflecting star. Our result is the extension of the no hair theorem for black holes to horizonless compact…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Srijit Bhattacharjee , Sudipta Sarkar

We study the existence of stationary black holes with a non-canonical scalar field as a matter source. We prove a simple black hole no-hair theorem which rules out the existence of asymptotically flat black holes which are static or…

General Relativity and Quantum Cosmology · Physics 2015-08-18 Alexander A. H. Graham , Rahul Jha

We extend all known black hole no-hair theorems to space-times endowed with a positive cosmological constant $\Lambda.$ Specifically, we prove that static spherical black holes with $\Lambda>0$ cannot support scalar fields in convex…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sourav Bhattacharya , Amitabha Lahiri

We discuss the no-hair conjecture in the presence of a cosmological constant. For the firststep the real scalar field is considered as the matter field and the spacetime is assumed to be static spherically symmetric. If the scalar field is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. Torii , K. Meeda , M. Narita

Massive scalar perturbations of asymptotically de Sitter black holes in generalized Proca theory display a sharp interplay between primary hair, horizon structure, and field mass. Using high-order WKB calculations supplemented by…

General Relativity and Quantum Cosmology · Physics 2026-05-22 S. V. Bolokhov

The unexpected discovery of hairy black hole solutions in theories with scalar fields simply by considering asymptotically Anti de-Sitter, rather than asymptotically flat, boundary conditions is analyzed in a way that exhibits in a clear…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Daniel Sudarsky , Jose Antonio Gonzalez

Stationary, asymptotically flat black holes in scalar-tensor theories of gravity are studied. It is shown that such black holes have no scalar hair and are the same as in General Relativity.

General Relativity and Quantum Cosmology · Physics 2013-03-05 Valerio Faraoni , Thomas P. Sotiriou

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

A new no-hair theorem is formulated which rules out a very large class of non-minimally coupled finite scalar dressing of an asymptotically flat, static, and spherically symmetric black-hole. The proof is very simple and based in a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Alberto Saa

We construct one-parameter families of static spherically symmetric asymptotically anti-de Sitter black hole solutions $(\mathcal{M},g_{\epsilon},\phi_{\epsilon})$ to the Einstein-Maxwell-(charged) Klein-Gordon equations. Each family…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Weihao Zheng

This paper consolidates noscalar hair theorem for a charged spherically symmetric black hole in four dimension in general relativity as well as in all scalar tensor theories, both minimally and nonminimally coupled, when the effective…

General Relativity and Quantum Cosmology · Physics 2010-11-19 N. Banerjee , S. Sen

We present new soliton and hairy black hole solutions of Einstein-non-Abelian-Proca theory in asymptotically anti-de Sitter space-time with gauge group ${\mathfrak {su}}(2)$. For static, spherically symmetric configurations, we show that…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Supakchai Ponglertsakul , Elizabeth Winstanley
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