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

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 motivat...

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Bibliographic Details
Published in:arXiv.org 2018-10
Main Authors: Martins, Y X, Teixeira, D S P, Campos, L F A, Biezuner, R J
Format: Article
Language:English
Subjects:
Equations of state
Mathematical analysis
Star clusters
Stellar systems
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1808.09306