EXACT MODEL FOR A RELATIVISTIC STAR

被引:106
作者
TIKEKAR, R
机构
[1] Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388 120, Gujarat
关键词
D O I
10.1063/1.528851
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Assuming that the physical three-space in a relativistic superdense star has the geometry of a three-spheroid, a static spherically symmetric model based on an analytic closed-form solution of Einstein's field equations is presented. Assuming the density of the order of 2×1014 g cm-3, estimates of the total mass and size of the stars of the model are obtained for various values of a density-variation parameter that is suitably defined. The total mass and the boundary radius of each of these models are of the order of the mass and size of a neutron star. © 1990 American Institute of Physics.
引用
收藏
页码:2454 / 2458
页数:5
相关论文
共 11 条
[1]   FLUID SPHERE IN GENERAL RELATIVITY [J].
ADLER, RJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (06) :727-729
[2]   GENERAL RELATIVISTIC FLUID SPHERES [J].
BUCHDAHL, HA .
PHYSICAL REVIEW, 1959, 116 (04) :1027-1034
[3]   ON THE STABILITY AND PHYSICAL-PROPERTIES OF AN EXACT RELATIVISTIC MODEL FOR A SUPERDENSE STAR [J].
KNUTSEN, H .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1988, 232 (01) :163-174
[4]   SPHERICALLY SYMMETRIC STATIC SOLUTIONS OF EINSTEINS EQUATIONS [J].
LEIBOVITZ, C .
PHYSICAL REVIEW, 1969, 185 (05) :1664-+
[5]  
MATSE JJ, 1980, PHYS REV D, V22, P1270
[6]  
REES MJ, 1975, BLACK HOLES GRAVITAT
[7]  
RHODES CE, 1974, PHYS REV LETT, V32, P324
[8]   Static solutions of Einstein's field equations for spheres of fluid [J].
Tolman, RC .
PHYSICAL REVIEW, 1939, 55 (04) :0364-0373
[9]  
Vaidya P. C., 1982, Journal of Astrophysics and Astronomy, V3, P325, DOI 10.1007/BF02714870
[10]   FAMILY OF INTERIOR SOLUTIONS FOR RELATIVISTIC FLUID SPHERES WITH POSSIBLE APPLICATIONS TO HIGHLY COLLAPSED STELLAR OBJECTS [J].
WHITMAN, PG .
JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (05) :868-869