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 motivating example of TOV systems and we close by applying our results in stellar systems arising from experimental data.
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