Matching stationary spacetimes
arXiv:0802.2615 · doi:10.1016/j.geomphys.2008.12.002
Abstract
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.
13 pages; v2: references added, typos corrected, matches final published version; v3: statement about higher genus stars corrected, reference added; v4: footnote 3 made more precise
References in corpus (5)
- Symmetry-preserving matchings
- Stationary Cylindrical Anisotropic Fluid
- Axially symmetric Einstein-Straus models
- Matching of spatially homogeneous non-stationary space--times to vacuum in cylindrical symmetry
- On global models for isolated rotating axisymmetric charged bodies; uniqueness of the exterior field