Matching stationary spacetimes in cylindrical symmetry

Mathematics

Scientific paper

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Experimental Tests Of Gravitational Theories, Numerical Approximation And Analysis, Cosmology

Scientific paper

We derive the necessary and sufficient conditions for the matching of two stationary spacetimes along a stationary timelike hypersurface, using a 2+1 splitting of the matching conditions in terms of the gravitational and gravitomagnetic fields. We prove existence and uniqueness results to the matching problem for stationary perfect fluid spacetimes with cylindrical symmetry.

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