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While non-rotating black-hole solutions are well known in Einstein--\ae{}ther gravity, no axisymmetric solutions endowed with Killing horizons have been so far found outside of the slowly rotating limit. Here we show that the Kerr spacetime…

General Relativity and Quantum Cosmology · Physics 2024-04-22 Edgardo Franzin , Stefano Liberati , Jacopo Mazza

A highly accurate multi-domain spectral method is used to study axially symmetric and stationary spacetimes containing a black hole or disc of dust surrounded by a ring of matter. It is shown that the matter ring can affect the properties…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Marcus Ansorg , David Petroff

We study the time evolution operator in a family of local quantum circuits with random fields in a fixed direction. We argue that the presence of quantum chaos implies that at large times the time evolution operator becomes effectively a…

Statistical Mechanics · Physics 2021-05-12 Pavel Kos , Bruno Bertini , Tomaž Prosen

We present solutions of DHOST theories describing a rotating black hole embedded in an expanding universe. The solution is constructed by conformal transformation of a stealth Kerr(-de Sitter) black hole. The conformal factor depends…

General Relativity and Quantum Cosmology · Physics 2023-05-29 Eugeny Babichev , Christos Charmousis , Nicolas Lecoeur

"Almost all" seems to be known about isolated stationary black holes in asymptotically flat space-times and about the behaviour of {\em test} matter and fields in their backgrounds. The black holes likely present in galactic nuclei and in…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Oldřich Semerák , Petra Suková

We evaluate general-relativistic effects in motion of stationary accretion disks around a Schwarzschild black hole, assuming the first post-Newtonian (1PN) approximation. There arises an integrability condition, that leads to the emergence…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Piotr Jaranowski , Patryk Mach , Edward Malec , Michal Pirog

We explore General Relativity solutions with stealth scalar hair in general quadratic higher-order scalar-tensor theories. Adopting the assumption that the scalar field has a constant kinetic term, we derive in a fully covariant manner a…

General Relativity and Quantum Cosmology · Physics 2020-06-18 Kazufumi Takahashi , Hayato Motohashi

The Kerr-MOG black hole has recently attracted significant research attention and has been extensively applied in various fields. To accurately characterize the long-term dynamical evolution of charged particles around Kerr-MOG black hole,…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Zhen-Meng Xu , Da-Zhu Ma , Wen-Fu Cao , Kai Li

Any connection between dark matter and extra dimensions can be cognizably evinced from the associated effective energy-momentum tensor. In order to investigate and test such relationship, a higher dimensional spacetime endowed with a…

General Relativity and Quantum Cosmology · Physics 2013-07-17 C. H. Coimbra-Araujo , Roldao da Rocha

It has recently been pointed out that one can construct invertible conformal transformations with a parity-violating conformal factor, which can be employed to generate a novel class of parity-violating ghost-free metric theories from…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Hiroaki W. H. Tahara , Kazufumi Takahashi , Masato Minamitsuji , Hayato Motohashi

The data from the event horizon telescope have provided a novel view of the vicinity of the horizon of a black hole (BH), by imaging the region around the light-ring. They have also raised hopes for measuring in the near future, features of…

General Relativity and Quantum Cosmology · Physics 2022-06-07 Konstantinos Kostaros , George Pappas

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the analysis of fields on black hole backgrounds.…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Lars Andersson , Thomas Bäckdahl , Pieter Blue

The problem of stability of rotating black holes is the subject of a long standing research program since the 1960s and remains an unresolved problem in general relativity. A major obstacle in the black hole stability problem is that the…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Nishanth Gudapati

We investigate the imprints of chaos in gravitational waves from extreme-mass-ratio inspirals configuration, where a stellar massive object, confined in a harmonic potential, orbits a supermassive Schwarzschild-like black hole embedded in a…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Surajit Das , Surojit Dalui , Bum-Hoon Lee , Yi-Fu Cai

Kerr-Schild solutions to the vacuum Einstein equations are considered from the viewpoint of integral equations. We show that, for a class of Kerr-Schild fields, the stress-energy tensor can be regarded as a total divergence in Minkowski…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris Doran , Anthony Lasenby

Recent developments in static patch holography proposed that quantum gravity in de Sitter space admits a dual description in terms of a quantum mechanical theory living on a timelike surface near the cosmological horizon. In parallel,…

High Energy Physics - Theory · Physics 2024-08-16 Stefano Baiguera , Rotem Berman

Understanding the mechanisms of particle acceleration from the vicinity of black holes poses a challenge. Electromagnetic effects are thought to be a prime suspect, but details still need an explanation. To this end, we study a…

High Energy Astrophysical Phenomena · Physics 2012-01-31 V. Karas , O. Kopacek , D. Kunneriath

When one splits spacetime into space plus time, the spacetime curvature (Weyl tensor) gets split into an "electric" part E_{jk} that describes tidal gravity and a "magnetic" part B_{jk} that describes differential dragging of inertial…

In this paper we apply KAM theory and the Aubry-Mather theory for twist maps to the study of bound geodesic dynamics of a perturbed blackhole background. The general theories apply mainly to two observable phenomena: the photon shell…

General Relativity and Quantum Cosmology · Physics 2020-12-08 Jinxin Xue

We analyze (3+1)-dimensional black-hole space-times in spontaneously broken Yang-Mills gauge theories that have been recently presented as candidates for an evasion of the scalar-no-hair theorem. Although we show that in principle the…

High Energy Physics - Theory · Physics 2009-10-28 N. E. Mavromatos , Elizabeth Winstanley
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