The Wahlquist exterior: second-order analysis

Details The Wahlquist exterior: second-order analysis The Wahlquist exterior: second-order analysis

Sep 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cqgra..23.5603s&link_type=abstract

Classical and Quantum Gravity, Volume 23, Issue 18, pp. 5603-5623 (2006).

Physics

4

Scientific paper

An attempt is made to follow up earlier investigations regarding the non-asymptotic flatness of the Wahlquist solution to second order, and to use this property to suggest a physical interpretation for the shape of the fluid. We demonstrate that by perturbing the boundary of the Wahlquist solution, it is possible to generate boundary data so that once the exterior metric has been obtained to first and second orders in the rotation speed using the Ernst potential method, it is possible in principle to perform up to second-order Cauchy matching of the interior and exterior fields. Finally, it is shown that while the first-order solution is asymptotically flat, the second-order solution is not so, and we briefly describe a reason for this.

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