A characteristic initial value problem in general relativity in the case of a perfect fluid with axial symmetry
1973 ◽
Vol 332
(1591)
◽
pp. 549-560
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Keyword(s):
An initial value problem for an axisymmetric perfect fluid in general relativity is considered by specifying data on an initial null hypersurface. The approach is an adaptation of the techniques introduced by Bondi, van der Burg & Metzner (1962) for dealing with asymptotically flat, empty space-time. A solution to the problem is shown to exist provided that the metric and physical variables are expanded in positive powers of a radial parameter and certain restrictive conditions at the origin are satisfied.
1990 ◽
Vol 427
(1872)
◽
pp. 221-239
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1983 ◽
Vol 386
(1791)
◽
pp. 373-391
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1996 ◽
Vol 452
(1947)
◽
pp. 945-952
◽
On the existence of analytic null asymptotically flat solutions of Einstein’s vacuum field equations
1982 ◽
Vol 381
(1781)
◽
pp. 361-371
◽
2011 ◽
Vol 2012
(20)
◽
pp. 4625-4678
◽