Rotational stellar structures based on the Lagrangian variational principle

5th Compact Stars in the QCD Phase Diagram

Yasutake, Nobutoshi^1 ; Fujisawa, Kotaro^2 ; Yamada, Shoichi^2

Physics Department, Chiba Institute of Technology, Shibazono 2-1-1, Narashino, Chiba

275-0023, Japan^1

Advanced Research Institute for Science and Engineering, Waseda University, Okubo 3-4-1, Shinjuku, Tokyo

169-8555, Japan^2

关键词: De facto standard;    Fluid element;    Lagrangian;    Multi dimensional;    Neutron stars;    Stellar evolutions;    Stellar structure;    Variational principles;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/861/1/012006/pdf
DOI  :  10.1088/1742-6596/861/1/012006

来源: IOP

【 摘 要 】

A new method for multi-dimensional stellar structures is proposed in this study. As for stellar evolution calculations, the Heney method is the defacto standard now, but basically assumed to be spherical symmetric. It is one of the difficulties for deformed stellar-evolution calculations to trace the potentially complex movements of each fluid element. On the other hand, our new method is very suitable to follow such movements, since it is based on the Lagrange coordinate. This scheme is also based on the variational principle, which is adopted to the studies for the pasta structures inside of neutron stars. Our scheme could be a major break through for evolution calculations of any types of deformed stars: proto-planets, proto-stars, and proto-neutron stars, etc.