Matching stationary spacetimes

Details Matching stationary spacetimes Matching stationary spacetimes

2008-02-19

arxiv.org/abs/0802.2615v3

J. Geom. Phys. 59 (2009) 448-458

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages; v2: references added, typos corrected, matches final published version; v3: statement about higher genus stars corre

Scientific paper

10.1016/j.geomphys.2008.12.002

Using the quasi-Maxwell formalism, we derive the necessary and sufficient conditions for the matching of two stationary spacetimes along a stationary timelike hypersurface, expressed in terms of the gravitational and gravitomagnetic fields and the 2-dimensional matching surface on the space manifold. We prove existence and uniqueness results to the matching problem for stationary perfect fluid spacetimes with spherical, planar, hyperbolic and cylindrical symmetry. Finally, we find an explicit interior for the cylindrical analogue of the NUT spacetime.

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