Gravitational collapse in higher dimensional Husain space-time

被引:13
|
作者
Debnath, Ujjal [1 ]
Chakraborty, Narayan Chandra [2 ]
Chakraborty, Subenoy [2 ]
机构
[1] Bengal Engn & Sci Univ, Dept Math, Sibpur 711103, Howrah, India
[2] Jadavpur Univ, Dept Math, Kolkata 32, W Bengal, India
关键词
D O I
10.1007/s10714-007-0525-0
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate exact solution in higher dimensional Husain model for a null fluid source with pressure p and density rho are related by the following relations (i) p = k rho, (ii) p = k rho - B(upsilon)/rho(alpha) (variable modified Chaplygin) and (iii) p = k rho(alpha) (polytropic). We have studied the nature of singularity in gravitational collapse for the above equations of state and also for different choices of the of the parameters k and B namely, (i) k = 0, B = constant (generalized Chaplygin), (ii) B = constant (modified Chaplygin). It is found that the nature of singularity is independent of these choices of different equation of state except for variable Chaplygin model. Choices of various parameters are shown in tabular form. Finally, matching of Szekeres model with exterior Husain space-time is done.
引用
收藏
页码:749 / 763
页数:15
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