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Saturation of the f-mode Instability in Neutron Stars

  • Book
  • © 2018

Overview

Authors:
  1. Pantelis Pnigouras

    1. Mathematical Sciences and STAG Research Centre, University of Southampton, Southampton, UK

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  • Nominated as an outstanding Ph.D. thesis by the Eberhard-Karls University of Tübingen,Tübingen, Germany
  • Was awarded “summa cum laude” by the Eberhard-Karls University of Tübingen, Germany
  • Describes concisely the second-order perturbation formalism for stellar oscillations and then applies it to unstable neutron star modes, presenting the first results for their saturation and the detectability of the generated gravitational-wave signals
  • Includes an extensive historical and theoretical overview of neutron star oscillations and secular instabilities driven by viscosity and gravitational waves related to ellipsoidal figures of equilibrium and to the renowned “Earth shape” problem

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xxiii
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  2. Introduction

    • Pantelis Pnigouras
    Pages 1-16

  3. The Oscillation Modes: Linear Perturbation Scheme

    • Pantelis Pnigouras
    Pages 17-51

  4. The f-mode Instability

    • Pantelis Pnigouras
    Pages 53-77

  5. Mode Coupling: Quadratic Perturbation Scheme

    • Pantelis Pnigouras
    Pages 79-98

  6. Results

    • Pantelis Pnigouras
    Pages 99-132

  7. Final Remarks

    • Pantelis Pnigouras
    Pages 133-136

  8. Back Matter

    Pages 137-220
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Keywords

About this book

This book presents a study of the saturation of unstable f-modes (fundamental modes) due to low-order nonlinear mode coupling. Since their theoretical prediction in 1934, neutron stars have remained among the most challenging objects in the Universe. Gravitational waves emitted by unstable neutron star oscillations can be used to obtain information about their inner structure, that is, the equation of state of dense nuclear matter. After its initial growth phase, the instability is expected to saturate due to nonlinear effects. The saturation amplitude of the unstable mode determines the detectability of the generated gravitational-wave signal, but also affects the evolution of the neutron star. The study shows that the unstable (parent) mode resonantly couples to pairs of stable (daughter) modes, which drain the parent’s energy and make it saturate via a mechanism called parametric resonance instability. Further, it calculates the saturation amplitude of the most unstable f-mode multipoles throughout their so-called instability windows.

Authors and Affiliations

  • Mathematical Sciences and STAG Research Centre, University of Southampton, Southampton, UK

    Pantelis Pnigouras

Bibliographic Information

  • Book Title: Saturation of the f-mode Instability in Neutron Stars

  • Authors: Pantelis Pnigouras

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-319-98258-8

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-319-98257-1Published: 06 October 2018

  • Softcover ISBN: 978-3-030-07474-6Published: 25 January 2019

  • eBook ISBN: 978-3-319-98258-8Published: 25 September 2018

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XXIII, 220

  • Number of Illustrations: 10 b/w illustrations, 21 illustrations in colour

  • Topics: Theoretical Astrophysics, Astrophysics and Astroparticles

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