Positive energy theorem implies constraints on static steller models

TL;DR

This paper uses the positive energy theorem to establish constraints on static stellar models in asymptotically flat spacetimes, showing the non-existence of certain regular solutions and deriving bounds on physical parameters.

Contribution

It generalizes previous results by deriving constraints on static stellar models without assuming spherical symmetry using the positive energy theorem.

Findings

No regular solutions under specific equations of state.

Constraints on pressure and adiabatic index.

Applicability to general asymptotically flat spacetimes.

Abstract

Using the positive energy theorem, we derive some constraints on static steller models in asymptotically flat spacetimes in a general setting without imposing spherical symmetry. We show that there exist no regular solutions under certain conditions on the equation of state. As the contraposition, we obtain some constraints on the pressure and adiabatic index.