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We construct a class of stationary, axisymmetric, horizonless spacetimes whose curvature is generated entirely by smooth, localised differential rotation $\Omega(r)$, while the spatial geometry remains exactly flat. Despite vanishing ADM…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Francisco S. N. Lobo , Tiberiu Harko

Symmetries are ubiquitous in modern physics. They not only allow for a more simplified description of physical systems but also, from a more fundamental perspective, can be seen as determining a theory itself. In the present paper, we…

General Relativity and Quantum Cosmology · Physics 2025-09-24 Níckolas de Aguiar Alves , Andre G. S. Landulfo

The behaviors of the modes for a massless minimally coupled scalar field are investigated for the Unruh state for Schwarzschild spacetime and the "in" vacuum state for a spacetime in which a spherically symmetric null shell collapses to…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Shohreh Gholizadeh Siahmazgi , Paul R. Anderson , Alessandro Fabbri

We study the quasi-normal modes (QNM) of electromagnetic and gravitational perturbations of a Schwarzschild black hole in an asymptotically Anti-de Sitter (AdS) spacetime. Some of the electromagnetic modes do not oscillate, they only decay,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Vitor Cardoso , Jose' P. S. Lemos

We examine backreaction of quantum massive fields on multiply-degenerate (ultraextremal) horizons. It is shown that, under influence of the quantum backreaction, the horizon of such a kind moves to a new position, near which the metric does…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jerzy Matyjasek , O. B. Zaslavskii

Black holes in asymptotically anti-de Sitter (AdS) spacetimes have been the subject of intense scrutiny, including detailed frequency-domain analysis and full nonlinear evolutions. Remarkably, studies of linearized perturbations in the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Vitor Cardoso , Gaurav Khanna

A mechanism to construct asymptotically flat, isolated, stationary black hole (BH) spacetimes with no $\mathbb{Z}_2$ (No$\mathbb{Z}$) isometry is described. In particular, the horizon geometry of such No$\mathbb{Z}$ BHs does not have the…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Pedro V. P. Cunha , Carlos A. R. Herdeiro , Eugen Radu

In Phys. Rev. D 79, 064016 (2009) it was claimed that quasinormal modes which any stationary, spherically symmetric and asymptotically flat black hole emits in the eikonal regime are determined by the parameters of the circular null…

General Relativity and Quantum Cosmology · Physics 2017-06-23 R. A. Konoplya , Z. Stuchlík

The characteristic damping times of the natural oscillations of a Kerr black hole become arbitrarily large as the extremal limit is approached. This behavior is associated with the so-called zero damped modes (ZDMs), and suggests that…

General Relativity and Quantum Cosmology · Physics 2017-08-28 Maurício Richartz , Carlos A. R. Herdeiro , Emanuele Berti

Existence of maximal hypersurfaces and of foliations by maximal hypersurfaces is proven in two classes of asymptotically flat spacetimes which possess a one parameter group of isometries whose orbits are timelike ``near infinity''. The…

General Relativity and Quantum Cosmology · Physics 2015-06-25 P. T. Chrusciel , R. Wald

We study the dynamics of unstable Reissner-Nordstr\"om anti-de Sitter black holes under charged scalar field perturbations in spherical symmetry. We unravel their general behavior and approach to the final equlibrium state. In the first…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Pablo Bosch , Stephen R. Green , Luis Lehner , Hugo Roussille

We consider the quasinormal modes for a class of black hole spacetimes that, informally speaking, contain a closely ``squeezed'' pair of horizons. (This scenario, where the relevant observer is presumed to be ``trapped'' between the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. J. M. Medved , Damien Martin , Matt Visser

The known static electro-vacuum black holes in a globally AdS$_4$ background have an event horizon which is geometrically a round sphere. In this work we argue that the situation is different in models with matter fields possessing an…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

The well-known duality between quasinormal modes of any stationary, spherically symmetric and asymptotically flat or de Sitter black hole and parameters of the circular null geodesic was initially claimed for gravitational and test field…

General Relativity and Quantum Cosmology · Physics 2023-01-11 R. A. Konoplya

Vacuum quantum fluctuations near horizons are known to yield correlated emission by the Hawking effect. We use a driven-dissipative quantum fluid of microcavity polaritons as an analog model of a quantum field theory on a black-hole…

In this paper we study several aspects of extremal spherical symmetric black hole solutions of four dimensional N=1 supergravity coupled to vector and chiral multiplets with the scalar potential turned on. In the asymptotic region the…

High Energy Physics - Theory · Physics 2013-07-26 Bobby E. Gunara , Freddy P. Zen , Fiki T. Akbar , Agus Suroso , Arianto

The stability of cosmological event and Cauchy horizons of spacetimes associated with plane symmetric domain walls are studied. It is found that both horizons are not stable against perturbations of null fluids and massless scalar fields;…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Anzhong Wang , Patricio S. Letelier

We show that the quasinormal spectrum of gravitational perturbations of Schwarzschild - de Sitter black holes contains a new branch of purely imaginary modes. These modes are not algebraically special and we showed that the sum of them form…

General Relativity and Quantum Cosmology · Physics 2022-12-05 R. A. Konoplya , A. Zhidenko

In case of a spherically symmetric non-linear scalar field (SF) in flat space, besides singularity at the center, spherical singularities can occur for non-zero values of radial variable $r>0$. We show that in the General Relativity the…

General Relativity and Quantum Cosmology · Physics 2020-04-01 V. I. Zhdanov , O. S. Stashko

In this paper we investigate asymptotic isotropization. We derive the asymptotic dynamics of spatially inhomogeneous cosmological models with a perfect fluid matter source and a positive cosmological constant near the de Sitter equilibrium…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Woei Chet Lim , Henk van Elst , Claes Uggla , John Wainwright
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