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 -