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The specific nonlinear vector $\sigma$-model coupled to Einstein gravity is investigated. The model arises in the studies of the gravitating matter in non-commutative geometry. The static spherically symmetric spacetimes are identified by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Klimcik , P. Kolnik , A. Pompos

The Einstein-Klein-Gordon Lagrangian is supplemented by a non-minimal coupling of the scalar field to specific geometric invariants : the Gauss-Bonnet term and the Chern-Simons term. The non-minimal coupling is chosen as a general quadratic…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Y. Brihaye , L. Ducobu

During the last two decades solutions of black holes with various types of "hair" have been discovered. Remarkably, it has been established that many of these hairy black holes are unstable-- under small perturbations the hair may collapse.…

General Relativity and Quantum Cosmology · Physics 2011-03-31 Shahar Hod

Capturing the image of the shadow cast by the event horizon of an illuminated black hole is, at the most basic level, an experiment of extreme light deflection in a strongly curved spacetime. As such, the properties of an imaged shadow can…

General Relativity and Quantum Cosmology · Physics 2023-03-14 Kostas Glampedakis , George Pappas

An electrically charged black hole solution with scalar hair in four dimensions is presented. The self-interacting scalar field is real and it is minimally coupled to gravity and electromagnetism. The event horizon is a surface of negative…

High Energy Physics - Theory · Physics 2008-11-26 Cristian Martinez , Ricardo Troncoso

General relativity admits a plethora of exact compact object solutions. The augmentation of Einstein's action with non-minimal coupling terms leads to modified theories with rich structure, which, in turn, provide non-trivial solutions with…

General Relativity and Quantum Cosmology · Physics 2022-05-31 Nikos Chatzifotis , Christoforos Vlachos , Kyriakos Destounis , Eleftherios Papantonopoulos

The black hole in the center of the Milky Way, Sgr A*, has the largest mass-to-distance ratio among all known black holes in the Universe. This property makes Sgr A* the optimal target for testing the gravitational no-hair theorem. In the…

High Energy Astrophysical Phenomena · Physics 2016-02-24 Dimitrios Psaltis , Norbert Wex , Michael Kramer

Black holes are assumed to decay via Hawking radiation. Recently we found evidence that spacetime curvature alone without the need for an event horizon leads to black hole evaporation. Here we investigate the evaporation rate and decay time…

General Relativity and Quantum Cosmology · Physics 2025-05-19 Heino Falcke , Michael F. Wondrak , Walter D. van Suijlekom

Neutron stars are expected to have a tight relation between their moment of inertia ($I$), tidal deformability ($\lambda$, which is related to the Love number), and rotational mass quadrupole moment ($Q$) that is nearly independent of the…

High Energy Astrophysical Phenomena · Physics 2021-01-13 Ernesto Benitez , Joseph Weller , Victor Guedes , Cecilia Chirenti , M. Coleman Miller

It was shown in a recent paper [J. Math. Phys. 60, 102502 (2019)] that slowly lowering an electric charge into a Schwarzschild-Tangherlini (ST) black hole endows the final state with electric multipole fields, which implies the final state…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Matthew S. Fox

We calculate the statistical entropy of a rotating hairy black hole by taking into account superradiant modes in the brick wall method. The UV cutoff is independent of the gravitational hair, which gives the well-defined area law of the…

General Relativity and Quantum Cosmology · Physics 2013-08-23 Myungseok Eune , Yongwan Gim , Wontae Kim

Rotation causes an increase in a neutron star's mass and equatorial radius. The mass and radius depend sensitively on the unknown equation of state (EOS) of cold, dense matter. However, the increases in mass and radius due to rotation are…

High Energy Astrophysical Phenomena · Physics 2022-08-09 Andreas Konstantinou , Sharon M. Morsink

A first-principles approach to the unitarity problem for black holes is systematically explored, based on the postulates of 1) quantum mechanics 2) the ability to approximately locally divide quantum gravitational systems into subsystems 3)…

High Energy Physics - Theory · Physics 2019-04-26 Steven B. Giddings

The conservation law for the angular momentum in curved spacetime, consistent with relativistic quantum mechanics, requires that the antisymmetric part of the affine connection (torsion tensor) is a variable in the principle of least…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Nikodem Popławski

General relativity predicts the existence of black holes, compact objects whose spacetimes depend on only their mass, spin, and charge in vacuum (the "no hair" theorem). As various observations probe deeper into the strong fields of black…

General Relativity and Quantum Cosmology · Physics 2010-11-26 Sarah J. Vigeland

The behavior of black hole horizons under extreme conditions-such as near collapse or phase transitions-remains less understood, particularly in the context of soft hair and Aretakis instabilities. We show that the breakdown of conformal…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Pradosh Keshav MV , Arun Kenath

The spin and quadrupole moment of the supermassive black hole at the Galactic center can in principle be measured via astrometric monitoring of stars orbiting at milliparsec (mpc) distances, allowing tests of general relativistic "no-hair"…

Astrophysics of Galaxies · Physics 2010-05-18 David Merritt , Tal Alexander , Seppo Mikkola , Clifford M. Will

The elegant `no short hair' theorem states that, if a spherically-symmetric static black hole has hair, then this hair must extend beyond 3/2 the horizon radius. In the present paper we provide evidence for the failure of this theorem…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Shahar Hod

We consider a universal relation between moment of inertia and quadrupole moment of arbitrarily fast rotating neutron stars. Recent studies suggest that this relation breaks down for fast rotation. We find that it is still universal among…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Sayan Chakrabarti , Térence Delsate , Norman Gürlebeck , Jan Steinhoff

We study the stability of a spherically symmetric black hole with a global monopole hair. Asymptotically the spacetime is flat but has a deficit solid angle which depends on the vacuum expectation value of the scalar field. When the vacuum…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hiroshi Watabe , Takashi Torii