Stability of the neutron-proton-electron matter under strong magnetic fields: the covariant Vlasov approach
Sidney Avancini, B. P. Bertolino, Aziz Rabhi, Jianjun Fang, Helena, Pais, Constan\c{c}a Provid\^encia

TL;DR
This paper investigates the stability of neutron-proton-electron matter in strong magnetic fields using a covariant Vlasov approach, analyzing mode instabilities and implications for neutron star crust-core transitions.
Contribution
It introduces a covariant Vlasov framework to study npe matter stability under strong magnetic fields, including dispersion relations and instability regions.
Findings
Identified instability regions for longitudinal and transverse modes.
Analyzed the crust-core transition in magnetized neutron stars.
Provided dispersion relations for npe matter modes.
Abstract
The neutron-proton-electron(npe) matter under a strong magnetic field is studied in the context of the covariant Vlasov approach. We use a Walecka-type hadronic model and the dispersion relations for the longitudinal and transverse modes are obtained. The instability regions for longitudinal and transverse modes are also studied. The crust-core transition of a magnetized neutron star is discussed.
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