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Gravitational Radiation from General Relativistic Rotational Core Collapse with Microphysics


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linkPfeilExtern.gifRelativistic Hydrodynamics
linkPfeilExtern.gifGravitational Waveform Catalog
linkPfeilExtern.gifResearch Highlight



H. Dimmelmeier (linkPfeilExtern.gifSection of Astrophysics, Astronomy & Mechanics, linkPfeilExtern.gifAristotle University of Thessaloniki, Greece)
C.D. Ott (linkPfeilExtern.gifDepartment of Astronomy and Steward Observatory, linkPfeilExtern.gifUniversity of Arizona, U.S.A.)
H.-T. Janka
A. Marek
Ian Hawke (linkPfeilExtern.gifSchool of Mathematics, linkPfeilExtern.gifUniversity of Southampton, U.K.)
B. Zink (linkPfeilExtern.gifCenter for Computation & Technology, linkPfeilExtern.gifLouisiana State University, U.S.A.)
E. Schnetter (linkPfeilExtern.gifCenter for Computation & Technology, linkPfeilExtern.gifLouisiana State University, U.S.A.)
E. Müller


Introduction:

While light or sound waves propagate through space and time, gravitational waves are propagating ripples of space and time itself. Such distortions of spacetime are generated by catastrophic astrophysical phenomena involving extremely compact objects (like e.g. colliding and merging black holes or neutron stars, or the collapsing core of a star in a supernova event).

Although gravitational waves were predicted by Einstein already at the beginning of the 20th century, only now we have the technology to venture the first successful detection. Currently, five kilometer-class Laser interferometer detectors are actively scanning the sky for incoming gravitational waves from both Galactic and extragalactic events. A successful direct detection will not only unequivocally prove Einstein's bold prediction, but even more interestingly, will open a completely new "window" onto the universe.

One example of a promising source of gravitational waves is the gravitational collapse of the rotating core of a massive star to a neutron star and the subsequent explosion of the star in a spectacular supernova event. However, so far the search for gravitational waves from a supernova was impeded by the rather crude knowledge of the expected burst signal from the core bounce. Theoretical predictions of the gravitational wave signal produced this astrophysical scenario are complicated, as the emission mechanisms are very diverse. While the prospective gravitational wave burst signal from the core collapse, bounce, and early postbounce phase is present only when the pre-collapse core rotates, one expects signals with sizeable amplitudes also from convective motions at later post-bounce phases, anisotropic neutrino emission, excitation of various oscillations in the PNS, or nonaxisymmetric rotational instabilities.

As a first approach, in a linkPfeil.gifprevious project [Dimmelmeier, et al., 2001, Dimmelmeier, et al., 2002a, Dimmelmeier, et al., 2002b] we have already successfully produced templates of gravitational wave signals from the core bounce phase of stars dying as a supernova. However, these templates predicted a large variability of the way the collapse and bounce proceeds. The corresponding uncertainty of the wave signal hampered an application of the most efficient available filters in the detector signal analysis.




Simulations:

Greatly improving on these previous results, we have accomplished new multi-dimensional supercomputer simulations of many rotating stellar core collapse models [Ott, et al., 2006b, Dimmelmeier, et al., 2007]. In contrast to the old simpler computations, now much better initial models for the pre-collapse stellar cores were used, a more realistic microphysical description of matter was implemented, and the effects of neutrinos during the contraction phase were taken into account.

As initial configuration we choose the presupernova stellar model s20 [Woosley, et al., 2002], on which we impose rotation [Komatsu, et al., 1989a, Komatsu, et al., 1989b] with different rates and profiles. During core collapse, we utilize a microphysical equation of state [Shen, et al., 1998] specifically designed for supernova core collapse. To approximate the effects of neutrinos in the infall phase, a very efficient parametric deleptonization scheme is used [Liebendörfer, 2005].

Most interestingly, with all these important improvements taken into account, the previously obtained diversity of the gravitational wave signals disappears, with only one signal type surviving [Dimmelmeier, et al., 2007]. This type is known as Type I and is characterized by a positive pre-bounce signal rise and a large negative spike during bounce, followed by a ring-down phase during which the signal slowly dies off.

The finding that for the 54 improved models the gravitational wave templates become more generic has important implications for a possible detection of such an event. Obviously, with better knowledge of the expected signal and more robust predictions, fine-tuned data analysis methods can be applied to extract such signals from the data streams measured in the detectors. With such techniques and a combined effort of several detectors, the detection range can probably be extended far beyond our Galaxy in the near future. This greatly increases the prospects for a signal detection, as otherwise hopes would solely rest on the rather rare event of a supernova in our own Galaxy.

In addition, we have followed the evolution of several models with more rapid rotation to longer times after core bounce. We find that these models exhibit the rapid growth of a nonaxisymmetric instability, which is also a strong emission mechanism for gravitational waves [Ott, et al., 2006a, Ott, et al., 2006b, Ott, et al., 2006c]. Here our simulations remove the limitations of previous studies and demonstrate that the development of nonaxisymmetric structures is neither limited to Newtonian gravity, simple matter models, equilibrium configurations, nor extremely strong rotation above the classical thresholds for the onset of nonaxisymmetric instabilities, but may rather be a phenomenon occurring generically in differentially rotating compact stars.




linkPfeil.gifWaveform catalog:

We provide a linkPfeil.gifwaveform catalog of all simulated models. Additionally, you can click on the following shortcuts to view figures of the waveforms in various formats or download raw data of the waveforms.

   linkPfeil.gifFigures of the waveforms in EPS format

   linkPfeil.gifFigures of the waveforms in JPG format

   Gravitational wave signal data
       (gzipped tar archive, 4.2 MByte, including a README file).

   Density evolution data
       (gzipped tar archive, 1.6 MByte, including a README file).




top References:

  • Dimmelmeier, H., Font, J.A., and Müller, E.,
    "Gravitational waves from relativistic rotational core collapse",
    Astrophys. J. Lett., 560, L163-L166, (2001),
    [linkPfeilExtern.gifArticle in astro-ph].

  • Dimmelmeier, H., Font, J.A., and Müller, E.,
    "Relativistic simulations of rotational core collapse. I. Methods, initial models, and code tests",
    Astron. Astrophys., 388, 917-935, (2002),
    [linkPfeilExtern.gifArticle in astro-ph].

  • Dimmelmeier, H., Font, J.A., and Müller, E.,
    "Relativistic simulations of rotational core collapse. II. Collapse dynamics and gravitational radiation",
    Astron. Astrophys., 393, 523-542, (2002),
    [linkPfeilExtern.gifArticle in astro-ph].

  • Dimmelmeier, H., Ott, C.D., Janka, H.-T., Marek, A., and Müller, E.,
    "Generic gravitational wave signals from the collapse of rotating stellar cores",
    Phys. Rev. Lett., 98, 251101, (2007),
    [linkPfeilExtern.gifArticle in astro-ph].

  • Komatsu, H., Eriguchi, Y., and Hachisu, I.,
    "Rapidly rotating general relativistic stars - I. Numerical method and its application to uniformly rotating polytropes",
    Mon. Not. R. Astron. Soc., 237, 355-379, (1989),
    [linkPfeilExtern.gifArticle in PDF format via ADS].

  • Komatsu, H., Eriguchi, Y., and Hachisu, I.,
    "Rapidly rotating general relativistic stars - II. Differentially rotating polytropes",
    Mon. Not. R. Astron. Soc., 239, 153-171, (1989)
    [linkPfeilExtern.gifArticle in PDF format via ADS].

  • Liebendörfer, M.,
    "A simple parameterization of the consequences of deleptonization for simulations of stellar core collapse",
    Astrophys. J., 633, 1042-1051, (2005)
    [linkPfeilExtern.gifArticle in astro-ph].

  • Ott, C.D.,
    "Stellar iron core collapse in {3+1} general relativity and the gravitational wave signature of core-collapse supernovae",
    Ph.D. thesis, University of Potsdam, (2006).

  • Ott, C.D., Dimmelmeier, H., Marek, A., Janka, H.-T., Hawke, I., Zink, B., and Schnetter, E.,
    "3D collapse of rotating stellar iron cores in general relativity with microphysics",
    Phys. Rev. Lett., 98, 261101, (2007),
    [linkPfeilExtern.gifArticle in astro-ph].

  • Ott, C.D., Dimmelmeier, H., Marek, A., Janka, H.-T., Zink, B., Hawke, I., and Schnetter, E.,
    "Rotating collapse of stellar iron cores in general relativity",
    Class. Quantum Grav., 24, S139-S154, (2007),
    [linkPfeilExtern.gifArticle in astro-ph].

  • Shen, H., Toki, H., Oyamatsu, K., and Sumiyoshi, K.,
    "Relativistic Equation of State of Nuclear Matter for Supernova Explosion",
    Prog. Theor. Phys., 100, 1013-1031, (1998)
    [linkPfeilExtern.gifArticle in PDF format via Prog. Theor. Phys.].

  • Woosley, S.A, Heger, A., and Weaver, T.A.,
    "The evolution and explosion of massive stars",
    Rev. Mod. Phys., 74, 1015-1071, (2002)
    [linkPfeilExtern.gifArticle in PDF format via Rev. Mod. Phys.].




topComments to: Harald Dimmelmeier emailharrydee@mpa-garching.mpg.de