STABILITY OF NEUTRON AND BOSON STARS - A NEW APPROACH BASED ON CATASTROPHE-THEORY

被引:41
作者
KUSMARTSEV, FV [1 ]
MIELKE, EW [1 ]
SCHUNCK, FE [1 ]
机构
[1] LD LANDAU THEORET PHYS INST,MOSCOW 117334,USSR
关键词
D O I
10.1016/0375-9601(91)91020-E
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:465 / 468
页数:4
相关论文
共 23 条
[1]  
[Anonymous], 1979, CATASTROPHE THEORY I
[2]  
[Anonymous], 1965, GRAVITATION THEORY G
[3]  
Arnold V. I., 1985, SINGULARITIES DIFFER, V82
[4]   FERMION Q-STARS [J].
BAHCALL, S ;
LYNN, BW ;
SELIPSKY, SB .
NUCLEAR PHYSICS B, 1989, 325 (03) :606-618
[5]   ARE NEUTRON-STARS Q-STARS [J].
BAHCALL, S ;
LYNN, BW ;
SELIPSKY, SB .
NUCLEAR PHYSICS B, 1990, 331 (01) :67-79
[6]   ON THE NONRADIAL OSCILLATIONS OF A STAR [J].
CHANDRASEKHAR, S ;
FERRARI, V .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 432 (1885) :247-279
[7]   BOSON STARS - GRAVITATIONAL EQUILIBRIA OF SELF-INTERACTING SCALAR FIELDS [J].
COLPI, M ;
SHAPIRO, SL ;
WASSERMAN, I .
PHYSICAL REVIEW LETTERS, 1986, 57 (20) :2485-2488
[8]   THE VELOCITY OF SOUND IN GENERAL RELATIVITY, WITH A DISCUSSION OF THE PROBLEM OF THE FLUID SPHERE WITH CONSTANT VELOCITY OF SOUND [J].
CURTIS, AR .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1950, 200 (1061) :248-261
[9]   GRAVITATIONAL STABILITY OF SCALAR MATTER [J].
GLEISER, M ;
WATKINS, R .
NUCLEAR PHYSICS B, 1989, 319 (03) :733-746
[10]   DILATON STARS [J].
GRADWOHL, B ;
KALBERMANN, G .
NUCLEAR PHYSICS B, 1989, 324 (01) :215-232