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We prove three theorems in general relativity which rule out classical scalar hair of static, spherically symmetric, possibly electrically charged black holes. We first generalize Bekenstein's no--hair theorem for a multiplet of minimally…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Avraham E. Mayo , Jacob D. Bekenstein

Scalar-tensor theories are a natural alternative to general relativity, as they may provide an effective dark energy phenomenology on cosmological scales while passing local tests, but their black hole solutions are still poorly understood.…

广义相对论与量子宇宙学 · 物理学 2023-10-11 Lodovico Capuano , Luca Santoni , Enrico Barausse

We present a non-perturbative proof of the no hair theorems corresponding to scalar and Proca fields for stationary axisymmetric de Sitter black hole spacetimes. Our method also applies to asymptotically flat and under a reasonable…

广义相对论与量子宇宙学 · 物理学 2011-06-24 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.

广义相对论与量子宇宙学 · 物理学 2015-06-25 S. Sen , N. Banerjee

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,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thomas Hertog

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…

广义相对论与量子宇宙学 · 物理学 2018-10-09 Joseph Sultana , Demosthenes Kazanas

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.…

广义相对论与量子宇宙学 · 物理学 2014-09-05 Alexander A. H. Graham , Rahul Jha

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…

广义相对论与量子宇宙学 · 物理学 2009-10-31 T. Torii , K. Meeda , M. Narita

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…

广义相对论与量子宇宙学 · 物理学 2020-02-19 Shahar Hod

The no-hair theorem by Mayo and Bekenstein states that there exists no non-extremal static and spherical charged black hole endowed with hair in the form of a charged scalar field with a self-interaction potential. In our recent work, we…

广义相对论与量子宇宙学 · 物理学 2020-09-16 Jeong-Pyong Hong , Motoo Suzuki , Masaki Yamada

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…

广义相对论与量子宇宙学 · 物理学 2010-11-19 N. Banerjee , S. Sen

Recently, a ``no inner (Cauchy) horizon theorem" for static black holes with non-trivial scalar hairs has been proved in Einstein-Maxwell-scalar theories and also in Einstein-Maxwell-Horndeski theories with the non-minimal coupling of a…

高能物理 - 理论 · 物理学 2024-02-12 Deniz O. Devecioglu , Mu-In Park

The Einstein-conformally coupled scalar field system is studied in the presence of a cosmological constant. We consider a massless or massive scalar field with no additional self-interaction, and spherically symmetric black hole geometries.…

广义相对论与量子宇宙学 · 物理学 2022-10-12 Elizabeth Winstanley

Most no-hair theorems involve the assumption that the scalar field is independent of time. Recently in [Phys. Rev. D90 (2014) 041501(R)] the existence of time-dependent scalar hair outside a stationary black hole in general relativity was…

广义相对论与量子宇宙学 · 物理学 2016-08-29 Yi Zhong , Bao-Min Gu , Shao-Wen Wei , Yu-Xiao Liu

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…

广义相对论与量子宇宙学 · 物理学 2015-08-18 Alexander A. H. Graham , Rahul Jha

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…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Rong-Gen Cai , Jeong-Young Ji

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…

广义相对论与量子宇宙学 · 物理学 2026-05-19 Weihao Zheng

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…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Alberto Saa

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…

广义相对论与量子宇宙学 · 物理学 2017-04-26 Srijit Bhattacharjee , Sudipta Sarkar

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…

广义相对论与量子宇宙学 · 物理学 2021-04-06 Rong-Gen Cai , Li Li , Run-Qiu Yang
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