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Related papers: Hushing black holes: tails in dynamical spacetimes

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We provide a rigorous derivation of the precise late-time asymptotics for solutions to the scalar wave equation on subextremal Kerr backgrounds, including the asymptotics for projections to angular frequencies $\ell\geq 1$ and $\ell\geq 2$.…

General Relativity and Quantum Cosmology · Physics 2021-02-25 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

We study the scalar perturbation on the background of a Kerr black hole in the dynamical Chern-Simons modified gravity with a quadratic coupling between the scalar field and Chern-Simons term. In particular, the late-time tails of scalar…

General Relativity and Quantum Cosmology · Physics 2019-02-22 Yuan-Xing Gao , Yang Huang , Dao-Jun Liu

We consider Einstein gravity in general dimensions, coupled to a scalar field either minimally or non-minimally, together with a generic scalar potential. By making appropriate choices of the scalar potential, we obtain large classes of new…

High Energy Physics - Theory · Physics 2015-09-16 Zhong-Ying Fan , H. Lu

We establish the full global non-linear stability of the Kerr-de Sitter family of black holes, as solutions of the initial value problem for the Einstein vacuum equations with positive cosmological constant, for small angular momenta, and…

Differential Geometry · Mathematics 2020-05-28 Peter Hintz , András Vasy

Modifying the Kerr-Schild transformation used to generate black and white hole spacetimes, new dynamic black and white holes are obtained using a time-dependent Kerr-Schild scalar field. Physical solutions are found for black holes that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. L. McClure , Kaem Anderson , Kirk Bardahl

We prove the existence of instabilities for the geometric linear wave equation on extremal Kerr spacetime backgrounds, which describe stationary black holes rotating at their maximally allowed angular velocity. These instabilities can be…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Dejan Gajic

Existence check of non-trivial, stationary axisymmetric black hole solutions in Brans-Dicke theory of gravity in different direction from those of Penrose, Thorne and Dykla, and Hawking is performed. Namely, working directly with the known…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongsu Kim

The late-time tails of a massive scalar field in the spacetime of black holes are studied numerically. Previous analytical results for a Schwarzschild black hole are confirmed: The late-time behavior of the field as recorded by a static…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Lior M. Burko , G. Khanna

We study nonlinear evolutions of binary black hole mergers, uncovering power-law contributions generated by the long-range behaviour of the highly-curved dynamical spacetime. The result is achieved by exploiting the strong increase of the…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Gregorio Carullo , Marina De Amicis

Black hole entropy of the Kerr-like family of spacetimes is introduced as the canonical charge on the horizon. Treating these spacetimes in the framework of Poincar\'e gauge theory either as Riemannian solutions or as solutions with…

General Relativity and Quantum Cosmology · Physics 2019-10-30 M. Blagojević , B. Cvetković

In this article we study the pointwise decay properties of solutions to the wave equation on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form…

Analysis of PDEs · Mathematics 2011-05-25 Jason Metcalfe , Daniel Tataru , Mihai Tohaneanu

Massive fields can exist in long-lived configurations around black holes. We examine how the gravitational wave signal of a perturbed black hole is affected by such `dirtiness' within linear theory. As a concrete example, we consider the…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Juan Carlos Degollado , Carlos A. R. Herdeiro

Black holes can be inserted in very rich astrophysical environments, such as accretion disks. Although isolated black holes are simple objects in general relativity, their accretion disks may significantly enrich the field configurations of…

General Relativity and Quantum Cosmology · Physics 2022-05-30 Haroldo C. D. Lima Junior , Mateus M. Corrêa , Caio F. B. Macedo , Luís C. B. Crispino

The late-time behavior of a scalar field on fixed Kerr background is examined in a numerical framework incorporating the techniques of conformal compactification and hyperbolic initial value formulation. The applied code is 1+(1+2) as it is…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Istvan Racz , Gabor Zsolt Toth

We study the late-time behaviour of a dynamically perturbed rapidly rotating black hole. Considering an extreme Kerr black hole, we show that the large number of virtually undamped quasinormal modes (that exist for nonzero values of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 K. Glampedakis , N. Andersson

In this paper we prove integrated energy and pointwise decay estimates for solutions of the vacuum linearized Einstein equation on the domain of outer communication of the Kerr black hole spacetime. The estimates are valid for the full…

Analysis of PDEs · Mathematics 2025-04-17 Lars Andersson , Thomas Bäckdahl , Pieter Blue , Siyuan Ma

We study the late-time tails appearing in the propagation of massless fields (scalar, electromagnetic and gravitational) in the vicinities of a D-dimensional Schwarzschild black hole. We find that at late times the fields always exhibit a…

High Energy Physics - Theory · Physics 2009-11-10 Vitor Cardoso , Shijun Yoshida , Oscar J. C. Dias , Jose' P. S. Lemos

We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard GR form (e.g. Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Sergi Sirera , Johannes Noller

We consider static spherically symmetric solutions of a general scalar field theory with non-standard kinetic energy coupled to gravity with a view to explain dark matter halos as a coherent state of the scalar field. Consistent solutions…

High Energy Physics - Theory · Physics 2008-06-04 Ratindranath Akhoury , Christopher S. Gauthier

Different classes of exact solutions for the BHT massive gravity theory are constructed and analyzed. We focus in the special case of the purely quadratic Lagrangian, whose field equations are irreducibly of fourth order and are known to…

High Energy Physics - Theory · Physics 2015-12-31 Cédric Troessaert , David Tempo , Ricardo Troncoso