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Nonlinear radial oscillations of neutron stars

Gabler, Michael and Sperhake, Ulrich and Andersson, Nils (2008) Nonlinear radial oscillations of neutron stars. Physical Review D, 80 (6). Art. No. 064012. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20091022-124025991

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Abstract

The effects of nonlinear oscillations in compact stars are attracting considerable current interest. In order to study such phenomena in the framework of fully nonlinear general relativity, highly accurate numerical studies are required. A numerical scheme specifically tailored for such a study is based on formulating the time evolution in terms of deviations from a stationary equilibrium configuration. Using this technique, we investigate over a wide range of amplitudes nonlinear effects in the evolution of radial oscillations of neutron stars. In particular, we discuss mode coupling due to nonlinear interaction, the occurrence of resonance phenomena, shock formation near the stellar surface as well as the capacity of nonlinearities to stabilize perturbatively unstable neutron star models.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.80.064012DOIArticle
http://link.aps.org/doi/10.1103/PhysRevD.80.064012PublisherArticle
ORCID:
AuthorORCID
Sperhake, Ulrich0000-0002-3134-7088
Additional Information:©2009 The American Physical Society. Received 17 June 2009; published 9 September 2009. We thank Philippos Papadopoulos for various fruitful discussions. This work was supported by DFG grant SFB/Transregio 7 "Gravitational Wave Astronomy," by grants from the Sherman Fairchild Foundation to Caltech and by NSF Grant Nos. PHY-0601459 and PHY-0652995. U. S. acknowledges support from NSF TeraGrid Grant No. PHY-090003. N.A. acknowledges support from STFC in the United Kingdom via Grant No. PP/E001025/1.
Funders:
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)SFB/Transregio 7 "Gravitational Wave Astronomy"
Sherman Fairchild FoundationUNSPECIFIED
NSFPHY-0601459
NSFPHY-0652995
NSFPHY-090003
Science and Technology Facilities Council (STFC)PP/E001025/1
Issue or Number:6
Classification Code:04.25.D- Numerical relativity; 04.40.Dg Relativistic stars: structure, stability, and oscillations; 97.10.Sj Stellar pulsations, oscillations, and stellar seismology
Record Number:CaltechAUTHORS:20091022-124025991
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20091022-124025991
Official Citation:Nonlinear radial oscillations of neutron stars Michael Gabler, Ulrich Sperhake, and Nils Andersson, Phys. Rev. D 80, 064012 (2009), DOI:10.1103/PhysRevD.80.064012
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16453
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 Oct 2009 21:20
Last Modified:03 Oct 2019 01:12

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