Stability of neutron and boson stars: a new approach based on catastrophe theory
Abstract
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.
Supported by the Deutsche Forschungsgemeinschaft, project He 528/14-1.- Publication:
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Physics Letters A
- Pub Date:
- August 1991
- DOI:
- 10.1016/0375-9601(91)91020-E
- Bibcode:
- 1991PhLA..157..465K