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We study the evolution of massless scalar waves propagating on spherically symmetric spacetimes with a non-zero cosmological constant. Considering test fields on both Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter backgrounds, we…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Patrick R. Brady , Chris M. Chambers , William Krivan , Pablo Laguna

Using the technique of spectral decomposition, we investigated the late-time tails of massless and massive coupled scalar fields in the background of a black hole with a global monopole. We found that due to existence of the coupling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Songbai Chen , Jiliang Jing

We study the dominant late-time behaviors of massive scalar fields in static and spherically symmetric spacetimes. Considering the field evolution in the far zone where the gravitational field is weak, we show under which conditions the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Hiroko Koyama , Akira Tomimatsu

We investigate the evolution of a scalar field propagating in Reissner--Nordstr\"{o}m Anti--de Sitter spacetime. Due to the characteristic of spacetime geometry, the radiative tails associated with a massless scalar field propagation have…

High Energy Physics - Theory · Physics 2009-10-31 B. Wang , C. Molina , E. Abdalla

In a 4-dimensional (4D) weak field geometry governed by the linearized Einstein's equations and sourced primarily by a static, spatially localized, but otherwise arbitrary mass density $T_{00}$, it is known that the leading order tail part…

General Relativity and Quantum Cosmology · Physics 2014-07-17 Yi-Zen Chu

Nonlinear effects play a fundamental role in the late-time ringdown of black holes, with direct implications for gravitational-wave observations. For massive fields, these dynamics become richer, yet their nonlinear signatures remain poorly…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Caiying Shao , Zhen-Tao He , Jiageng Jiao , Jingqi Lai , Jun-Xi Shi , Yu Tian , Dandan Yuan , Hongbao Zhang

We investigate the asymptotic tail behavior of massive scalar fields in Schwarzschild background. It is shown that the oscillatory tail of the scalar field has the decay rate of $t^{-5/6}$ at asymptotically late times, and the oscillation…

General Relativity and Quantum Cosmology · Physics 2007-10-02 Hiroko Koyama , Akira Tomimatsu

We discuss the nonlinear origin of the power-law tail in the long-time evolution of a spherically symmetric self-gravitating massless scalar field in even-dimensional spacetimes. Using third-order perturbation method, we derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Piotr Bizoń , Tadeusz Chmaj , Andrzej Rostworowski

The decay behavior of a massless scalar field in the Schwarzschild-de Sitter spacetime is well-known to follow an exponential law at asymptotically late times $t \rightarrow \infty$. In contrast, a massive scalar field in the asymptotically…

General Relativity and Quantum Cosmology · Physics 2024-04-16 R. A. Konoplya

This paper investigates the late-time behaviour of certain cosmological models where oscillations play an essential role. Rigorous results are proved on the asymptotics of homogeneous and isotropic spacetimes with a linear massive scalar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alan D. Rendall

In this work, we compute the gravitational wave displacement and spin memory effects in de Sitter spacetime. Gravitational waves in asymptotically flat spacetimes are described by the Bondi-Sachs framework, where radiation at null infinity…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Anthi Voulgari Revof , Shubhanshu Tiwari

We investigate dominant late-time tail behaviors of massive scalar fields in nearly extreme Reissner-Nordstr\"{o}m background. It is shown that the oscillatory tail of the scalar fields has the decay rate of $t^{-5/6}$ at asymptotically…

General Relativity and Quantum Cosmology · Physics 2007-10-02 Hiroko Koyama , Akira Tomimatsu

In Class. Quantum Grav. 26 (2009) 175006 (arXiv:0812.4333v3) Bizon et al discuss the power-law tail in the long-time evolution of a spherically symmetric self-gravitating massless scalar field in odd spatial dimensions. They derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Nikodem Szpak

In this brief note, we revisit the study of the leading order late time decay tails of massless scalar perturbations outside an extreme Reissner-Nordstr\"om black hole. Previous authors have analysed this problem in the time domain; we…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Srijit Bhattacharjee , Bidisha Chakrabarty , David D. K. Chow , Partha Paul , Amitabh Virmani

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 present an analytic method for calculating the late-time tails of a linear scalar field outside a Kerr black hole. We give the asymptotic behavior at timelike infinity (for fixed $r$), at future null infinity, and along the event horizon…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leor Barack , Amos Ori

The late-time dynamics of massive spin-2 fields in flat and curved spacetimes are studied analytically. We find that the time evolutions of the massive fields are characterized by oscillatory power-law decaying tails at asymptotically late…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Shahar Hod

We study the phenomenon of mass loss by a scalar charge -- a point particle that acts a source for a noninteracting scalar field -- in an expanding universe. The charge is placed on comoving world lines of two cosmological spacetimes: a de…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko , Abraham I. Harte , Eric Poisson

Gravitational collapse in asymptotically anti-de Sitter spacetime has a rich but poorly-understood structure. There are strong indications that some families of initial data form "bound" states, which are regular everywhere, while other…

General Relativity and Quantum Cosmology · Physics 2015-05-04 Hirotada Okawa , Jorge C. Lopes , Vitor Cardoso

We investigate the late-time tails of self-interacting (massive) scalar fields in the spacetime of dilaton black hole. Following the no hair theorem we examine the mechanism by which self-interacting scalar hair decay. We revealed that the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 R. Moderski , M. Rogatko
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