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Related papers: High-order Tail in Schwarzschild Space-time

200 papers

We investigate the classical stability of the higher-dimensional Schwarzschild black holes against linear perturbations, in the framework of a gauge-invariant formalism for gravitational perturbations of maximally symmetric black holes,…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Hideo Kodama

Using recently developed efficient symbolic manipulations tools, we present a general gauge-invariant formalism to study arbitrary radiative $(l\geq 2)$ second-order perturbations of a Schwarzschild black hole. In particular, we construct…

General Relativity and Quantum Cosmology · Physics 2009-09-02 David Brizuela , Jose M. Martin-Garcia , Manuel Tiglio

The (first-order) gravitational self-force correction to the spin-orbit precession of a spinning compact body along a slightly eccentric orbit around a Schwarzschild black hole is computed through the ninth post-Newtonian order, improving…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Donato Bini , Thibault Damour , Andrea Geralico

We investigate the nonlinear evolution of black hole ringdown in the framework of higher-order metric perturbation theory. By solving the initial-value problem of a simplified nonlinear field model analytically as well as numerically, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Satoshi Okuzumi , Kunihito Ioka , Masa-aki Sakagami

We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Donato Bini , Andrea Geralico , Jan Steinhoff

We prove sharp pointwise $t^{-3}$ decay for scalar linear perturbations of a Schwarzschild black hole without symmetry assumptions on the data. We also consider electromagnetic and gravitational perturbations for which we obtain decay rates…

Analysis of PDEs · Mathematics 2012-02-06 Roland Donninger , Wilhelm Schlag , Avy Soffer

We take into account the dynamics of a complete third post-Newtonian conservative Hamiltonian of two spinning black holes, where the orbital part arrives at the third post-Newtonian precision level and the spin-spin part with the spin-orbit…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Guoqing Huang , Xiaoting Ni , Xin Wu

Using the Green's function representation technique, the late time behavior of localized scalar field distributions on Schwarzschild spacetimes is studied. Assuming arbitrary initial data we perform a spectral analysis, computing the…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Miguel Alcubierre , Dario Nunez , Olivier Sarbach

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

We develop a complete and systematic analytical approach to field perturbations of extremal Kerr spacetime based on the formalism of Mano, Suzuki and Takasugi (MST) for the Teukolsky equation. Analytical expressions for the radial solutions…

General Relativity and Quantum Cosmology · Physics 2020-03-02 Marc Casals , Peter Zimmerman

We provide a systematic and comprehensive derivation of the linearized dynamics of massive and partially massless spin-2 particles in a Schwarzschild (anti) de Sitter black hole background, in four and higher spacetime dimensions. In…

High Energy Physics - Theory · Physics 2021-06-22 Rachel A. Rosen , Luca Santoni

Within linearized perturbation theory, black holes decay to their final stationary state through the well-known spectrum of quasinormal modes. Here we numerically study whether nonlinearities change this picture. For that purpose we study…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Enrique Pazos , David Brizuela , Jose M. Martin-Garcia , Manuel Tiglio

The late-time tail behavior of massive scalar fields is studied analytically in a stationary axisymmetric EMDA black hole geometry. It is shown that the asymptotic behavior of massive perturbations is dominated by the oscillatory inverse…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Qiyuan Pan , Jiliang Jing

We compute the 5PM order contributions to the scattering angle and impulse of classical black hole scattering in the conservative sector at first self-force order (1SF) using the worldline quantum field theory formalism. This challenging…

High Energy Physics - Theory · Physics 2024-05-16 Mathias Driesse , Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Benjamin Sauer , Johann Usovitsch

The retarded Green function for linear field perturbations in Schwarzschild black hole space-time possesses a branch cut in the complex-frequency plane. This branch cut has remained largely unexplored: only asymptotic analyses either for…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Marc Casals , Adrian C. Ottewill

We study static spherically symmetric black hole solutions with a linearly time-dependent scalar field and discuss their linear stability in the shift- and reflection-symmetric subclass of quadratic degenerate higher-order scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Kazufumi Takahashi , Hayato Motohashi , Masato Minamitsuji

In this paper we complete a systematic study on quasinormal modes (QNMs) and late time tails for scalar, Dirac and Maxwell fields on a spherically symmetric Schwarzschild-like black hole with a global monopole in the Einstein-bumblebee…

General Relativity and Quantum Cosmology · Physics 2023-07-21 Xiaolin Zhang , Mengjie Wang , Jiliang Jing

Using Leaver's continue fraction and time domain method, we study the wave dynamics of phantom scalar perturbation in a Schwarzschild black string spacetime. We find that the quasinormal modes contain the imprint from the wavenumber $k$ of…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Songbai Chen , Jiliang Jing

Using a recently developed effective field theory formalism for extreme mass ratios [2308.14832], we present a calculation of charged black hole scattering at third post-Minkowskian order. The charges and masses are kept arbitrary, and the…

High Energy Physics - Theory · Physics 2024-06-03 Jordan Wilson-Gerow

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes