TY - JOUR

T1 - Stability of neutron and boson stars

T2 - a new approach based on catastrophe theory

AU - Kusmartsev, Fjodor V.

AU - Mielke, Eckehard W.

AU - Schunck, Franz E.

PY - 1991/8/12

Y1 - 1991/8/12

N2 - In the framework of general relativity, we investigate the stability of stars by classifying the singularities of smooth mappings. These maps arise from the functional dependence of the mass M and the particle number N of the star on its dynamical variables. Our new approach avoids the mathematical limitations of perturbation theory. In fact, it is capable of providing more information than perturbation theory and predicts novel oscillation and collapse regimes for a certain range of N. Moreover, our stability criteria are rather universal and apply to neutron stars as well as to boson stars.

AB - In the framework of general relativity, we investigate the stability of stars by classifying the singularities of smooth mappings. These maps arise from the functional dependence of the mass M and the particle number N of the star on its dynamical variables. Our new approach avoids the mathematical limitations of perturbation theory. In fact, it is capable of providing more information than perturbation theory and predicts novel oscillation and collapse regimes for a certain range of N. Moreover, our stability criteria are rather universal and apply to neutron stars as well as to boson stars.

UR - http://www.scopus.com/inward/record.url?scp=0002836484&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(91)91020-E

DO - 10.1016/0375-9601(91)91020-E

M3 - Article

AN - SCOPUS:0002836484

SN - 0375-9601

VL - 157

SP - 465

EP - 468

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 8-9

ER -