2009
DOI: 10.1103/physrevd.79.067501
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Generic behavior of nonlinear sound waves near the surface of a star: Smooth solutions

Abstract: We are interested in the generic behaviour of nonlinear sound waves as they approach the surface of a star, here assumed to have the polytropic equation of state P = Kρ Γ . Restricting to spherical symmetry, and considering only the region near the surface, we generalise the methods of Carrier and Greenspan (1958) for the shallow water equations on a sloping beach to this problem. We give a semi-quantitative criterion for a shock to form near the surface during the evolution of generic initial data with suppor… Show more

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Cited by 7 publications
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“…Neutron stars of course have a surface at which the fluid density is discontinuous, as discussed for example in [99, 101]. In contrast, the scalar field that constitutes the boson star is smooth everywhere and lacks a particular surface.…”
Section: Boson Stars In Astronomymentioning
confidence: 99%
“…Neutron stars of course have a surface at which the fluid density is discontinuous, as discussed for example in [99, 101]. In contrast, the scalar field that constitutes the boson star is smooth everywhere and lacks a particular surface.…”
Section: Boson Stars In Astronomymentioning
confidence: 99%
“…One difference of consequence concerns the stellar surface. Neutron stars of course have a surface at which the fluid density is discontinuous, as discussed for example in Gundlach and Leveque ( 2011 ), Gundlach and Please ( 2009 ). In contrast, the scalar field that constitutes the boson star is smooth everywhere and lacks a particular surface.…”
Section: Boson Stars In Astronomymentioning
confidence: 99%