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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