Spatial eigenvalue problems for stars in hydrostatic equilibrium: Generalised Lane-Emden equations as boundary value problems
Sign Up to like & getrecommendations! Published in 2023 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/stad1506
Abstract: We derive a generic spatial eigenvalue problem governing stars in hydrostatic equilibrium. Our approach generalizes the various Lane-Emden equations finding use over the past century, allowing for more general equations of state (EoS) while ensuring a stellar… read more here.
Keywords: stellar structure; structure; stars hydrostatic; hydrostatic equilibrium ... See more keywords
Stellar hydrostatic equilibrium compact structures in f(𝒢,T) gravity
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DOI: 10.1142/s021773231950038x
Abstract: In this paper, stellar hydrostatic equilibrium configuration of the compact stars (neutron stars and strange stars) has been studied for [Formula: see text] gravity model, with [Formula: see text] and [Formula: see text] being the… read more here.
Keywords: hydrostatic equilibrium; gravity; see text; formula see ... See more keywords
A Well-Balanced Gas Kinetic Scheme for Navier-Stokes Equations with Gravitational Potential
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Computational Physics"
DOI: 10.4208/cicp.oa-2019-0067
Abstract: The hydrostatic equilibrium state is the consequence of the exact hydrostatic balance between hydrostatic pressure and external force. Standard finite volume or finite difference schemes cannot keep this balance exactly due to their unbalanced truncation… read more here.
Keywords: scheme; equilibrium state; state; hydrostatic equilibrium ... See more keywords