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.
机构:
Univ Burdwan, Dept Math, Kabi Sukanta Mahavidyalaya, PO Angus, Hooghly 712221, West Bengal, IndiaUniv Burdwan, Dept Math, Kabi Sukanta Mahavidyalaya, PO Angus, Hooghly 712221, West Bengal, India