On the gravitational radiation from the collapse of neutron stars to rotating black holes

We provide details and present additional results on the numerical study of the gravitational-wave emission from the collapse of neutron stars to rotating black holes in three dimensions. More specifically, we concentrate on the advantages and disadvantages of the use of the excision technique and on how alternative approaches to that of excision can be successfully employed. Furthermore, as a first step towards source characterization, we present a systematic discussion of the influence that rotation and different perturbations have on the waveforms and hence on the energy emitted in gravitational waves.

[1]  L. Baiotti,et al.  Challenging the paradigm of singularity excision in gravitational collapse. , 2006, Physical review letters.

[2]  C. Will,et al.  Gravitational-wave spectroscopy of massive black holes with the space interferometer LISA , 2005, gr-qc/0512160.

[3]  L. Baiotti,et al.  Gravitational-wave emission from rotating gravitational collapse in three dimensions. , 2005, Physical review letters.

[4]  L. Rezzolla,et al.  Gauge-invariant non-spherical metric perturbations of Schwarzschild black-hole spacetimes , 2005, gr-qc/0502064.

[5]  E. Seidel,et al.  Three-dimensional relativistic simulations of rotating neutron-star collapse to a Kerr black hole , 2004, gr-qc/0403029.

[6]  Oscar A. Reula,et al.  Strongly hyperbolic second order Einstein's evolution equations , 2004, gr-qc/0402123.

[7]  B. Stephens,et al.  General relativistic hydrodynamics with viscosity: Contraction, catastrophic collapse, and disk formation in hypermassive neutron stars , 2004, astro-ph/0402502.

[8]  Scott H. Hawley,et al.  Evolutions in 3D numerical relativity using fixed mesh refinement , 2003, gr-qc/0310042.

[9]  C. Palenzuela,et al.  A Symmetry breaking mechanism for the Z4 general covariant evolution system , 2003, gr-qc/0307067.

[10]  Selective readout and back-action reduction for wideband acoustic gravitational wave detectors , 2003, gr-qc/0302012.

[11]  M. Shibata.  Axisymmetric general relativistic hydrodynamics: Long term evolution of neutron stars and stellar collapse to neutron stars and black holes , 2003, gr-qc/0301103.

[12]  E. Seidel,et al.  Gauge conditions for long-term numerical black hole evolutions without excision , 2002, gr-qc/0206072.

[13]  B. Krishnan,et al.  Introduction to isolated horizons in numerical relativity , 2002, gr-qc/0206008.

[14]  L. Rezzolla,et al.  An improved exact Riemann solver for multi-dimensional relativistic flows , 2002, Journal of Fluid Mechanics.

[15]  J. Font.  Numerical Hydrodynamics in General Relativity , 2000, Living reviews in relativity.

[16]  O. Sarbach,et al.  Hyperbolicity of the Baumgarte-Shapiro-Shibata-Nakamura system of Einstein evolution equations , 2002 .

[17]  B. Krishnan,et al.  Dynamical horizons: energy, angular momentum, fluxes, and balance laws. , 2002, Physical review letters.

[18]  O. Sarbach,et al.  Convergence and stability in numerical relativity , 2002, gr-qc/0207018.

[19]  E. Seidel,et al.  Black Hole Excision for Dynamic Black Holes , 2001, gr-qc/0104020.

[20]  A. Ashtekar,et al.  Mechanics of rotating isolated horizons , 2001, gr-qc/0103026.

[21]  L. Rezzolla,et al.  An improved exact Riemann solver for relativistic hydrodynamics , 2001, Journal of Fluid Mechanics.

[22]  E. Toro.  Godunov Methods: Theory and Applications , 2001 .

[23]  Jack Dongarra,et al.  Vector and Parallel Processing — VECPAR 2000 , 2001, Lecture Notes in Computer Science.

[24]  Lewandowski,et al.  Generic isolated horizons and their applications , 2000, Physical review letters.

[25]  E. Seidel,et al.  Towards a stable numerical evolution of strongly gravitating systems in general relativity: The conformal treatments , 2000, gr-qc/0003071.

[26]  S. Shapiro,et al.  Stability and collapse of rapidly rotating, supramassive neutron stars: 3D simulations in general relativity , 1999, astro-ph/9911308.

[27]  Kostas D. Kokkotas,et al.  Quasi-Normal Modes of Stars and Black Holes , 1999, Living reviews in relativity.

[28]  S. Fairhurst,et al.  Mechanics of isolated horizons , 1999, gr-qc/9907068.

[29]  Garching,et al.  Numerical Hydrodynamics in Special Relativity , 1999, Living reviews in relativity.

[30]  S. Shapiro,et al.  Cauchy perturbative matching and outer boundary conditions: Computational studies , 1998, gr-qc/9807047.

[31]  S. Shapiro,et al.  On the numerical integration of Einstein's field equations , 1998, gr-qc/9810065.

[32]  M. Alcubierre,et al.  Pathologies of hyperbolic gauges in general relativity and other field theories , 1997, gr-qc/9709024.

[33]  M. Alcubierre.  Appearance of coordinate shocks in hyperbolic formalisms of general relativity , 1996, gr-qc/9609015.

[34]  Nakamura,et al.  Evolution of three-dimensional gravitational waves: Harmonic slicing case. , 1995, Physical review. D, Particles and fields.

[35]  Seidel,et al.  New formalism for numerical relativity. , 1994, Physical review letters.

[36]  N. Stergioulas,et al.  Comparing models of rapidly rotating relativistic stars constructed by two numerical methods , 1994, astro-ph/9411032.

[37]  J. Miralles,et al.  Numerical relativistic hydrodynamics: Local characteristic approach. , 1991, Physical review. D, Particles and fields.

[38]  R. Sorkin,et al.  Turning-point method for axisymmetric stability of rotating relativistic stars , 1988 .

[39]  Ken-ichi Oohara,et al.  General Relativistic Collapse to Black Holes and Gravitational Waves from Black Holes , 1987 .

[40]  T. Piran,et al.  Gravitational-wave emission from rotating gravitational collapse. , 1985, Physical review letters.

[41]  P. Woodward,et al.  The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations , 1984 .

[42]  Larry Smarr,et al.  Kinematical conditions in the construction of spacetime , 1978 .

[43]  Heinz-Otto Kreiss,et al.  Methods for the approximate solution of time dependent problems , 1973 .

[44]  Jacques E. Romain,et al.  Gravitation: An Introduction to Current Research , 1963 .

[45]  In Gravitation: an introduction to current research , 1962 .