Late-Time Tail of Wave Propagation on Curved Spacetime

1994/10/30 by E. S. C. Ching, Emily S. C. Ching, P. T. Leung +3 · 6 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Classical mechanics #Cosmology and Gravitation Theories #Mechanics #Nonlinear Waves and Solitons #Physics #Quantum electrodynamics #Quantum mechanics #Space time #Spacetime #Wave propagation #gr-qc

paper · pdf · doi:10.1103/physrevlett.74.2414

published as Phys.Rev.Lett. 74 (1995) 2414-2417 · 11 pages, WUGRAV-94-12

arxiv created 1994/10/30 · openalex publication_date 1995/03/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The late-time behavior of waves propagating on a class of curved spacetimes, including Schwarzschild, is studied. The late-time tail is not necessarily an inverse power of time. Our work extends, places in context, and provides understanding for the known results for the Schwarzschild spacetime. Analytic and numerical results are in excellent agreement.

Citations

• Late-time behavior of stellar collapse and explosions. I. Linearized perturbations
• Late-time behavior of stellar collapse and explosions. II. Nonlinear evolution

Cited by

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• Wave tails in time-dependent backgrounds
• Unconventional gravitational excitation of a Schwarzschild black hole
• Nonlinear dynamical stability of infrared modifications of gravity
• Radiative falloff of a scalar field in a weakly curved spacetime without symmetries
• Black hole determinants and quasinormal modes