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- W2164047982 abstract "Rotating bodies of finite size in the context of general relativity remain verypoorly understood; one of the issues is in establishing the precise natureof the conditions that must be satisfied in order to match with a suitablevacuum solution.Several well-known fluid solutions exist, but so far only one of them describesa bounded matter distribution. This is the Wahlquist solution, which happensto possess an unusual shape to its boundary, and because of this manyconsider it not to describe an isolated rotating body. So far, this claim isyet to be decisively proved.Recent work has suggested that this may well be the case, but it did notconsider the issue of the exterior appearance of the boundary. An attempt ismade to follow up the investigations regarding the apparent non-asymptoticflatness of the Wahlquist solution to second order, and to eventually arriveat a physical interpretation for the shape of the fluid. The slow rotationmatching conditions are developed from first principles, and we demonstratethat by perturbing the boundary of the Wahlquist solution, it is possible togenerate invariant Cauchy boundary data as viewed in the exterior Weylcoordinates.The exterior metric is then obtained to first and second order in the rotationspeed using the Ernst potential method, where we show that it is possibleto perform up to second order Cauchy matching of the interior and exteriorfields. It is shown that while the first order solution is asymptotically flat,the second order solution is not so, and we show that the non-asymptoticflatness is due to the interior multipole expansion of a field originating fromtwo-point masses present outside the fluid." @default.
- W2164047982 created "2016-06-24" @default.
- W2164047982 creator A5057902244 @default.
- W2164047982 date "2007-01-01" @default.
- W2164047982 modified "2023-09-27" @default.
- W2164047982 title "The Wahlquist exterior: an approach to relativistic stationary axisymmetric perturbations" @default.
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