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According to the no-hair theorem, astrophysical black holes are fully characterized by their masses and spins and are described by the Kerr metric. This theorem can be tested observationally by measuring (at least) three different multipole…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Tim Johannsen , Dimitrios Psaltis

Recently, a generalised solution for Einstein equations of a rotating compact body, surrounded by matter field was proposed, which is the Kerr-Newman spacetime with an anisotropic matter. The solution possesses an additional hair, along…

General Relativity and Quantum Cosmology · Physics 2021-03-12 C. L. Ahmed Rizwan , A. Naveena Kumara , Kartheek Hegde , Md Sabir Ali , Ajith K. M

The evidence for supermassive Kerr black holes in galactic centers is strong and growing, but only the detection of gravitational waves will convincingly rule out other possibilities to explain the observations. The Kerr spacetime is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Vitor Cardoso

The recently proved `no short hair' theorem asserts that, if a spherically-symmetric static black hole has hair, then this hair (the external fields) must extend beyond the null circular geodesic (the "photonsphere") of the corresponding…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Shahar Hod

We present a new rotating black hole solution to the Einstein equations as an extension of the Kerr spacetime. Interestingly, the solution we find may not be uniquely characterized by asymptotic parameters such as mass, angular momentum,…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Hyeong-Chan Kim , Wonwoo Lee

One avenue for testing the no-hair theorem is obtained through timing a pulsar orbiting close to a black hole and fitting for quadrupolar effects on the time-of-arrival of pulses. If deviations from the Kerr quadrupole are measured, then…

General Relativity and Quantum Cosmology · Physics 2015-11-09 Pierre Christian , Dimitrios Psaltis , Abraham Loeb

Twenty years have passed since the discovery of the accelerated expansion of the Universe, reviving the interest for alternative theories of gravity. Adding a scalar degree of freedom to the usual metric of general relativity is one of the…

General Relativity and Quantum Cosmology · Physics 2018-10-11 Antoine Lehébel

General relativity's no-hair theorem states that isolated astrophysical black holes are described by only two numbers: mass and spin. As a consequence, there are strict relationships between the frequency and damping time of the different…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Eric Thrane , Paul Lasky , Yuri Levin

Test of the no-hair theorem is the primary target with gravitational waves from binary black holes. In this Letter, we analyze gravitational-wave data from the LIGO-Virgo-KAGRA detection of binary black-hole mergers using the PSI_FD model,…

General Relativity and Quantum Cosmology · Physics 2023-12-06 Song Li , Wen-Biao Han , Shu-Cheng Yang

According to the no-hair theorem, astrophysical black holes are uniquely described by the Kerr metric. In order to test this theorem with observations in either the electromagnetic or gravitational-wave spectra, several Kerr-like spacetimes…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Tim Johannsen

We discuss the consequences of violating the no-hair theorem on magnetic fields surrounding a black hole. This is achieved by parametrically deforming the Kerr spacetime and studying the effects of such deformations on asymptotically…

High Energy Astrophysical Phenomena · Physics 2017-05-10 Pierre Christian

Despite the no-hair theorem, several notable hairy black hole (BH) solutions exist in both General Relativity and modified gravity theories. For such hairs to be detectable, they must extend sufficiently beyond the event horizon. This idea…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Rajes Ghosh , Chiranjeeb Singha

We describe a new numerical algorithm for ray tracing in the external spacetimes of spinning compact objects characterized by arbitrary quadrupole moments. Such spacetimes describe non-Kerr vacuum solutions that can be used to test the…

High Energy Astrophysical Phenomena · Physics 2015-05-20 Dimitrios Psaltis , Tim Johannsen

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

Although General Relativity (GR) has been tested extensively in the weak gravity regime, similar tests in the strong gravity regime are still missing. In this paper we explore the possibility to use X-ray spectropolarimetric observations of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Henric Krawczynski

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

If a class of stars orbits the central black hole in our galaxy in short period (~ 0.1 year), high eccentricity (~ 0.9) orbits, they will experience precessions of their orbital planes induced by both relativistic frame-dragging and the…

Astrophysics · Physics 2009-11-13 Clifford M. Will

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

Thanks to the release of the extraordinary EHT image of shadow attributed to the M87* supermassive black hole (SMBH), we have a novel window to assess the validity of fundamental physics in the strong-field regime. Motivated by this, we…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Mohsen Khodadi , Gaetano Lambiase , David F. Mota

The No Hair theorem in classical general relativity predicts that rotating black holes are specified by the Kerr metric, which is uniquely identified by the mass and spin. However, as a pioneering study beyond general relativity, the…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Zhen Li