## A pure geometric approach to stellar structure: Mass-radius relation

M.I.Wanas , And Mona M. Foda ; Samah Abd El-Aziz Saber Ammar## Abstract

This paper represents the second step towards understanding stellar structure using pure geometric tools. It is an attempt to get a theoretical expression for a mass–radius relation. The stellar model used has been obtained as an analytic solution of the field equations of a pure geometric field theory. The method suggested to get this relation is very simple. It depends mainly on a set of differential equations implying the vanishing of all components of a geometric material-energy tensor on a boundary of stellar configuration. The theoretical relation obtained is a linear one (R=βM)(R=βM) with one free parameter (β).(β). Comparison with observation, using a sample of lower main-sequence stars, members of binary systems, is given. For the primary members (M<2M⊙)(M<2M⊙), we get β=1.16β=1.16. It is worthy of mention that the model obtained is a simple one. Rotation, magnetic field, etc. are not considered in the present treatment. So, the model is far from being complete. It is just a step to show that pure geometric consideration objects can be used to treat problems of stellar structure.

## Other data

Keywords | Stellar structuregeometric field theoriesmain sequence starsabsolute parallelism geometry |

Issue Date | 2018 |

Publisher | World Scientific publishing company |

Source | 5 |

Journal | International Journal of Geometric Methods in Modern Physics |

URI | http://research.asu.edu.eg/handle/123456789/2416 |

DOI | 10.1142/S0219887818501347 |

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