publication . Preprint . 2015

High-order Tail in Schwarzschild Space-time

Casals, Marc; Ottewill, Adrian C.;
Open Access English
  • Published: 15 Sep 2015
Abstract
We present an analysis of the behaviour at late-times of linear field perturbations of a Schwarzschild black hole space-time. In particular, we give explicit analytic expressions for the field perturbations (for a specific multipole) of general spin up to the first four orders at late times. These expressions are valid at arbitrary radius and include, apart from the well-known power-law tail decay at leading order ($\sim t^{-2\ell-3}$), a new logarithmic behaviour at third leading order ($\sim t^{-2\ell-5}\ln t$). We obtain these late-time results by developing the so-called MST formalism and by expanding the various MST Fourier-mode quantities for small frequen...
Subjects
free text keywords: General Relativity and Quantum Cosmology, High Energy Physics - Theory
Funded by
SFI| Space-time Approach to Gravitational Radiation Reaction
Project
  • Funder: Science Foundation Ireland (SFI)
  • Project Code: 10/RFP/PHY2847
  • Funding stream: SFI Research Frontiers Programme (RFP)
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Abstract
We present an analysis of the behaviour at late-times of linear field perturbations of a Schwarzschild black hole space-time. In particular, we give explicit analytic expressions for the field perturbations (for a specific multipole) of general spin up to the first four orders at late times. These expressions are valid at arbitrary radius and include, apart from the well-known power-law tail decay at leading order ($\sim t^{-2\ell-3}$), a new logarithmic behaviour at third leading order ($\sim t^{-2\ell-5}\ln t$). We obtain these late-time results by developing the so-called MST formalism and by expanding the various MST Fourier-mode quantities for small frequen...
Subjects
free text keywords: General Relativity and Quantum Cosmology, High Energy Physics - Theory
Funded by
SFI| Space-time Approach to Gravitational Radiation Reaction
Project
  • Funder: Science Foundation Ireland (SFI)
  • Project Code: 10/RFP/PHY2847
  • Funding stream: SFI Research Frontiers Programme (RFP)
Download from

1)2(` + s)2

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