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arXiv 0709.4538gr-qc
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高维Husain时空中的引力坍缩

Gravitational Collapse in Higher Dimensional Husain Space-Time

Ujjal Debnath, Narayan Chandra Chakraborty, Subenoy Chakraborty

摘要:

本文研究了零流体源的高维Husain模型的精确解,其中压力$p$和密度$ρ$由下列关系式联系:(i)$p=kρ$,(ii)$p=kρ-\frac{B(v)}{ρ^α}$(变量修正的Chaubergin)和(iii)$p=kρ^α$(多变).我们研究了上述状态方程以及$k$和$B$参数的不同选择,即(i)$k=0$,$B=$常数(广义Chaubergin),(ii)$B=$常数(修正Chaubergin)的引力坍缩奇异性的性质.结果表明,除了变量Chaubergin模型外,奇异性的性质与不同状态方程的选择无关。各种参数的选择以表格形式显示。最后,将Szekeres模型与外部Husain时空进行了匹配。

英文摘要:

We investigate exact solution in higher dimensional Husain model for a null fluid source with pressure $p$ and density $ρ$ are related by the following relations (i) $p=kρ$, (ii) $p=kρ-\frac{B(v)}{ρ^α}$ (variable modified Chaplygin) and (iii) $p=kρ^α$ (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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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