Perfect fluid spacetimes with a purely magnetic Weyl tensor

被引:11
|
作者
Lozanovski, C [1 ]
McIntosh, CBG [1 ]
机构
[1] Monash Univ, Dept Math, Clayton, Vic 3168, Australia
关键词
purely magnetic spacetimes; exact solutions; perfect fluid;
D O I
10.1023/A:1026785010353
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a solution of the gravitational field equations which is similar in form to that given by Wainwright. Several cases are considered, in particular we find a general algebraic perfect fluid solution with equation of state p = rho whose Weyl tensor is of the purely magnetic type within a finite region of the spacetime. It is shown, for an observer with four-velocity, u(mag) say, that the metric's Weyltensor is purely magnetic within the finite region while it is purely electric, as read by another observer with four-velocity u(ele), elsewhere. Another observer, independent of the observers who measure the Weyl tensor to be purely electric or magnetic, interprets the perfect fluid to have an equation of state p = rho. The Petrov type of the metric, in this case, is I(M-infinity) by the Arianrhod-McIntosh classification and therefore there exists no conformally related metric which is vacuum. The vacuum seed metrics are derived for the perfect fluid solutions.
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页码:1355 / 1366
页数:12
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