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Possible Physical Realizations of the Tolman VII solution
- Publication Year :
- 2015
- Publisher :
- arXiv, 2015.
-
Abstract
- The Tolman VII solution (an exact static spherically symmetric perfect fluid solution) to the Einstein equations is reexamined, and a closed form equation of state (EOS) is deduced for the first time. This EOS allows further analysis leading to a viable model for compact stars to be obtained. Explicit application of causality conditions places further constraints on the model, and recent measurements of masses and radii of neutron stars prove to be within the predictions of the model. It is found that the adiabatic index ${\gamma} \geq 2$, and self-bound crust solutions are not excluded. The solution is also shown to obey known stability criteria. It is argued that this solution provides realistic limits on models of compact stars.<br />Comment: Accepted and published in PRD
- Subjects :
- Physics
Nuclear and High Energy Physics
010308 nuclear & particles physics
FOS: Physical sciences
State (functional analysis)
General Relativity and Quantum Cosmology (gr-qc)
Causality conditions
01 natural sciences
Stability (probability)
General Relativity and Quantum Cosmology
Neutron star
Stars
Classical mechanics
Static spherically symmetric perfect fluid
0103 physical sciences
Closed-form expression
Adiabatic process
010303 astronomy & astrophysics
Mathematical physics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....f6768902d0d3ee87079ab25428a30f04
- Full Text :
- https://doi.org/10.48550/arxiv.1506.05813