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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

Stellar mass objects orbiting around supermassive black holes are primary targets for future gravitational wave detectors like LISA. However, in theories beyond general relativity, the corresponding waveform templates are still relatively…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Adrien Kuntz , Riccardo Penco , Federico Piazza

We present a class of exact scalar-tensor black holes for a shift-symmetric part of the Horndeski action. The action includes a higher order scalar tensor interaction term. We find that for a static and spherically symmetric space-time, the…

General Relativity and Quantum Cosmology · Physics 2014-09-11 Eugeny Babichev , Christos Charmousis

A modification of the Maxwell equations due to the presence of a gravitational field was formerly proposed for a scalar theory with a preferred reference frame. With this modification, the electric charge is not conserved. The aim of the…

General Physics · Physics 2018-01-31 Mayeul Arminjon

Previous studies showed that, in the presence of a simple and well-motivated self-interaction scalar potential, asymptotically flat and spherical black holes can carry minimally coupled and charged scalar cloud/hair in Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Shao-Jun Zhang

We develop a new technique for finding black hole solutions in modified gravity that have "stealth" hair, i.e., hair whose only gravitational effect is to tune the cosmological constant. We consider scalar-tensor theories in which…

High Energy Physics - Theory · Physics 2019-10-16 Christos Charmousis , Marco Crisostomi , Ruth Gregory , Nikolaos Stergioulas

Scalar-tensor theories are a compelling alternative to general relativity and one of the most accepted extensions of Einstein's theory. Black holes in these theories have no hair, but could grow "wigs" supported by time-dependent boundary…

General Relativity and Quantum Cosmology · Physics 2013-06-26 Emanuele Berti , Vitor Cardoso , Leonardo Gualtieri , Michael Horbatsch , Ulrich Sperhake

We investigate properties of higher-dimensional generally rotating black-hole spacetimes, so called Kerr-NUT-(A)dS spacetimes, as well as a family of related spaces which share the same explicit and hidden symmetries. In these spaces, we…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Ivan Kolar , Pavel Krtous

The Kerr spacetime of spinning black holes is one of the most intriguing predictions of Einstein's theory of general relativity. The special role this spacetime plays in the theory of gravity is encapsulated in the no-hair theorem, which…

High Energy Astrophysical Phenomena · Physics 2009-12-02 Dimitrios Psaltis , Tim Johannsen

No-hair theorems in theories of gravity with a scalar field are briefly and critically reviewed. Their significance and limitations are discussed and potential evasions are considered.

General Relativity and Quantum Cosmology · Physics 2015-10-21 Thomas P. Sotiriou

A new class of exact spacetimes in Einstein's gravity, which are Kerr black holes immersed in an external magnetic (or electric) field that is asymptotically uniform and oriented along the rotational axis, is presented. These are…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Jiri Podolsky , Hryhorii Ovcharenko

We consider static spherically symmetric solutions of a general scalar field theory with non-standard kinetic energy coupled to gravity with a view to explain dark matter halos as a coherent state of the scalar field. Consistent solutions…

High Energy Physics - Theory · Physics 2008-06-04 Ratindranath Akhoury , Christopher S. Gauthier

We prove that static black holes in n-dimensional asymptotically flat spacetime cannot support non-trivial electric p-form field strengths when (n+1)/2<= p <= n-1. This implies in particular that static black holes cannot possess dipole…

High Energy Physics - Theory · Physics 2010-10-27 Roberto Emparan , Seiju Ohashi , Tetsuya Shiromizu

We present a direct, geometric derivation of the generalized Smarr formula for the stationary axially symmetric black holes with nonlinear electromagnetic fields. The additional term is proven to be proportional to the integral of the trace…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Luka Gulin , Ivica Smolić

We study the possibility of occurrence of scalar hair with a non-canonical kinetic term for a static, spherically symmetric asymptotically flat black hole spacetime. We first obtain a general equation for this purpose and then consider…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marcin Jankiewicz , Anjan A. Sen

We study no-hair properties of static black holes in four and higher dimensional spacetimes with a cosmological constant. For the vanishing cosmological constant case, we show a no-hair theorem and also a no-short-hair theorem under certain…

General Relativity and Quantum Cosmology · Physics 2024-03-29 Akihiro Ishibashi , Satoshi Matsumoto , Yuichiro Yoneo

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…

General Relativity and Quantum Cosmology · Physics 2016-08-29 Yi Zhong , Bao-Min Gu , Shao-Wen Wei , Yu-Xiao Liu

If a black hole has hair, how short can this hair be? A partial answer to this intriguing question was recently provided by the 'no-short hair' theorem which asserts that the external fields of a spherically-symmetric electrically neutral…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Shahar Hod

The most general action for a scalar field coupled to gravity that leads to second order field equations for both the metric and the scalar --- Horndeski's theory --- is considered, with the extra assumption that the scalar satisfies shift…

General Relativity and Quantum Cosmology · Physics 2014-08-13 Thomas P. Sotiriou , Shuang-Yong Zhou

The space-time curvature carried by electromagnetic fields is discovered and a new unification of geometry and electromagnetism is found. Curvature is invariant under charge reversal symmetry. Electromagnetic field equations are examined…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. W. M. Woodside