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We study the observational properties of a class of exact solutions of Einstein's field equations describing stationary, axially symmetric, rigidly rotating dust (i.e. non interacting particles). We ask the question whether such solutions…

General Relativity and Quantum Cosmology · Physics 2017-07-18 Batyr Ilyas , Jinye Yang , Daniele Malafarina , Cosimo Bambi

This work proposes a set of equations that can be used to numerically compute spacetimes containing a stationary black hole. The formalism is based on the 3+1 decomposition of General Relativity with maximal slicing and spatial harmonic…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Philippe Grandclément , Jordan Nicoules

Taking advantage of a previously developed method, which allows to map solutions of General Relativity into a broad family of theories of gravity based on the Ricci tensor (Ricci-based gravities), we find new exact analytical scalar field…

High Energy Physics - Theory · Physics 2020-01-08 Victor I. Afonso , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

Scalar-tensor theory predicts solutions to the gravitational field equations which describe compact objects in the presence of a non-minimally coupled scalar field to the Einstein tensor. These objects are black holes with scalar hair and…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Christoforos Vlachos , Eleftherios Papantonopoulos , Kyriakos Destounis

We give a thorough description of the shape of rotating axisymmetric stable black-hole (apparent) horizons applicable in dynamical or stationary regimes. It is found that rotation manifests in the widening of their central regions…

General Relativity and Quantum Cosmology · Physics 2013-11-21 Martin Reiris , Maria Eugenia Gabach Clement

While recent detections of gravitational waves from the mergers of binary black holes match well with the predictions of General Relativity (GR), they cannot directly confirm the existence of event horizons. Exotic compact objects (ECOs)…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Qingwen Wang , Niayesh Afshordi

Inspirals of rotating stellar-mass compact objects into massive black holes are influenced by the spin-curvature coupling, which drives the compact body away from geodesic motion due to its rotation. I formulate the Hamilton-Jacobi equation…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Vojtěch Witzany

In this work, we present a new type of scalar clouds supported by spherically symmetric horizonless compact objects in the scalar-Gauss-Bonnet theory. Unlike the previous spontaneous scalarization that is triggered by the tachyonic…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Shao-Jun Zhang

The ringdown and shadow of the astrophysically significant Kerr Black Hole (BH) are both intimately connected to a special set of bound null orbits known as Light Rings (LRs). Does it hold that a generic equilibrium BH must possess such…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Pedro V. P. Cunha , Carlos A. R. Herdeiro

We study stationary black holes in the presence of an external strong magnetic field. In the case where the gravitational backreaction of the magnetic field is taken into account, such an scenario is well described by the Ernst-Wild…

High Energy Physics - Theory · Physics 2021-06-11 Sasha Brenner , Gaston Giribet , Luciano Montecchio

We study the axial gravitational perturbations of slowly-rotating compact objects which are assumed to be supported by anisotropic fluids. We find that the gravitational perturbations decouple from the matter perturbations for axial…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Xing-Hui Feng , Jun Peng

We construct exotic compact objects composed entirely of self-interacting asymmetric fermionic dark matter governed by a repulsive Yukawa potential with massive dark interaction boson. By considering the structural, tidal, and rotational…

High Energy Astrophysical Phenomena · Physics 2026-02-09 Zakary Buras-Stubbs , Ilídio Lopes

We present stationary and axially-symmetric black hole solutions to the Einstein field equations sourced by an anisotropic fluid, describing rotating black holes embedded in astrophysical environments. We compute their physical properties,…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Pedro G. S. Fernandes , Vitor Cardoso

Teukolsky equations for $|s|=2$ provide efficient ways to solve for curvature perturbations around Kerr black holes. Imposing regularity conditions on these perturbations on the future (past) horizon corresponds to imposing an in-going…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Baoyi Chen , Qingwen Wang , Yanbei Chen

We address neutron stars and black holes in alternative gravities, after recalling their basic properties in General Relativity. Among the plethora of interesting alternative gravities we here focus on an interesting set of scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Jose Luis Blázquez-Salcedo , Burkhard Kleihaus , Jutta Kunz

We study the process, within classical general relativity, in which an incident gravitational plane wave, of weak amplitude and long wavelength, scatters off a massive spinning compact object, such as a black hole or neutron star. The…

General Relativity and Quantum Cosmology · Physics 2023-01-04 M. V. S. Saketh , Justin Vines

In this paper we treat the black hole horizon as a physical boundary to the spacetime and study its dynamics following from the Gibbons-Hawking-York boundary term. Using the Kerr black hole as an example we derive an effective action that…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Jianwei Mei

We study {\it analytically} the characteristic resonance spectrum of charged massive scalar fields linearly coupled to a spherically symmetric charged reflecting shell. In particular, we use analytical techniques in order to solve the…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Shahar Hod

This paper studies gravitational collapse of a complex scalar field at the threshold for black hole formation, assuming that the collapse is spherically symmetric and continuously self-similar. A new solution of the coupled Einstein-scalar…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Eric W. Hirschmann , Douglas M. Eardley

We seek to introduce a mathematical method to derive the Klein-Gordon equation and a set of relevant laws strictly, which combines the relativistic wave functions in two inertial frames of reference. If we define the stationary state wave…

Analysis of PDEs · Mathematics 2010-11-08 Guangqing Bi , Yuekai Bi