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Published September 2008 | Published
Journal Article Open

Nonlinear radial oscillations of neutron stars

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.

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.

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