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The nonmodal linear stability of the Schwarzschild black hole established in Phys. Rev. Lett. 112 (2014) 191101 is generalized to the case of a nonnegative cosmological constant $\Lambda$. Two gauge invariant combinations $G_{\pm}$ of…

广义相对论与量子宇宙学 · 物理学 2016-09-26 Gustavo Dotti

The gravitational wave strain emitted by a perturbed black hole (BH) ringing down is typically modeled analytically using first-order BH perturbation theory. In this Letter we show that second-order effects are necessary for modeling…

Nonlinearly scalarized black holes are investigated in Einstein-scalar-Gauss-Bonnet (EsGB) theory with polynomial coupling functions $\zeta(\phi)$ satisfying $\zeta''(0) = 0$, where $\zeta'(\phi) = 0$ features besides $\phi=0$ solutions…

广义相对论与量子宇宙学 · 物理学 2026-05-12 De-Cheng Zou , Xu Yang , Meng-Yun Lai , Hyat Huang , Bo Liu , Jutta Kunz , Yun Soo Myung , Rui-Hong Yue

We study the nonlinear gravitational collapse of a charged massless scalar-field. We confirm the existence of oscillatory inverse power-law tails along future timelike infinity, future null infinity and along the future outer-horizon. The…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Shahar Hod , Tsvi Piran

We study the charged black hole solutions of a 2+1 nonlinear electrodynamical theory with cosmological constant. Considered as a one-parameter group of theories (the exponent of the squared Maxwell tensor) the causal structure of all…

广义相对论与量子宇宙学 · 物理学 2025-07-01 Rodrigo Dal Bosco Fontana

Black holes found in binaries move at very high velocities relative to our own reference frame and can accelerate due to the emission of gravitational radiation. Here, we investigate the numerical stability and late-time behavior of linear…

广义相对论与量子宇宙学 · 物理学 2020-08-06 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena

We introduce a general method for understanding the late time tail for solutions to wave equations on asymptotically flat spacetimes with odd space dimensions. In particular, for a large class of equations, we prove that the precise late…

广义相对论与量子宇宙学 · 物理学 2024-04-04 Jonathan Luk , Sung-Jin Oh

The non-existence of asymptotically flat, neutral black holes and asymptotically flat, charged black holes in the Maxwell electrodynamics, with non-trivial scalar field has been proved for a large class of scalar-tensor theories. The…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Michail D. Todorov

In this work we consider black holes surrounded by anisotropic fluids in four dimensions. We first study the causal structure of these solutions showing some similarities and differences with Reissner-Nordstr\"om-de Sitter black holes. In…

广义相对论与量子宇宙学 · 物理学 2020-11-20 B. Cuadros-Melgar , R. D. B. Fontana , Jeferson de Oliveira

Due to the nature of gravity, non-linear effects are left imprinted in the quasi-normal modes generated in the ringdown phase of the merger of two black holes. We offer an analytical treatment of the quasi-normal modes at second-order in…

广义相对论与量子宇宙学 · 物理学 2024-04-09 Davide Perrone , Thomas Barreira , Alex Kehagias , Antonio Riotto

Scalarized black holes (BH) have been shown to form dynamically in extended-scalar-tensor theories, either through spontaneous scalarization -- when the BH is unstable against linear perturbations -- or through a non-linear scalarization.…

广义相对论与量子宇宙学 · 物理学 2024-08-06 Zakaria Belkhadria , Alexandre M. Pombo

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…

广义相对论与量子宇宙学 · 物理学 2009-03-19 Songbai Chen , Jiliang Jing

We investigate the late-time behavior of the massive vector field in the background of the Schwarzschild and Schwarzschild-de Sitter black holes. For Schwarzschild black hole, at intermediately late times the massive vector field is…

广义相对论与量子宇宙学 · 物理学 2008-11-26 R. A. Konoplya , C. Molina , A. Zhidenko

Recently, by considering nontrivial couplings between scalar fields and the Gauss-Bonnet invariant, the Schwarzschild black hole may allow regular scalar hairy configurations. The numerical studies of this spontaneous scalarization…

广义相对论与量子宇宙学 · 物理学 2020-11-10 Shun Jiang

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…

广义相对论与量子宇宙学 · 物理学 2019-02-22 Yuan-Xing Gao , Yang Huang , Dao-Jun Liu

We investigate the late-time evolution of the Yang-Mills field in the self-gravitating backgrounds: Schwarzschild and Reissner-Nordstr\"om spacetimes. The late-time power-law tails develop in the three asymptotic regions: the future…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Rong-Gen Cai , Anzhong Wang

The late time response of vacuum black holes in General Relativity is notoriously governed by power law tails arising from the wave scattering off the curved spacetime geometry far from the black hole. While it is known that such tails are…

广义相对论与量子宇宙学 · 物理学 2026-05-14 Romeo Felice Rosato , Paolo Pani

We construct two solutions of the minimally coupled Einstein-scalar field equations, representing regular deformations of Schwarzschild black holes by a self-interacting, static, scalar field. One solution features an exponentially decaying…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Helge Dennhardt , Olaf Lechtenfeld

The quasinormal modes (QNMs) and the late-time behavior of arbitrary spin fields are studied in the background of a Schwarzschild black hole with a global monopole (SBHGM). It has been shown that the real part of the QNMs for a SBHGM…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Qiyuan Pan , Jiliang Jing

It is well known that asymptotically flat Schwarzschild black holes in general relativity in four spacetime dimensions have vanishing induced linear tidal response. We extend this result beyond linear order for the polar sector, by solving…

广义相对论与量子宇宙学 · 物理学 2024-05-29 Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi