English

Constraints Between Equations of State and Mass-Radius Relationships in General Clusters of Stellar Systems

Mathematical Physics 2019-10-09 v2 Solar and Stellar Astrophysics math.MP

Abstract

In this article we prove three obstruction results on the existence of equations of state in clusters of stellar systems fulfilling mass-radius relationships and some additional bound (on the mass, on the radius or a causal bound). The theorems are proved in large generality. We start with a motivating example of TOV systems and we close by applying our results in stellar systems arising from experimental data.

Keywords

Cite

@article{arxiv.1808.09306,
  title  = {Constraints Between Equations of State and Mass-Radius Relationships in General Clusters of Stellar Systems},
  author = {Y. X. Martins and D. S. P. Teixeira and L. F. A. Campos and R. J. Biezuner},
  journal= {arXiv preprint arXiv:1808.09306},
  year   = {2019}
}