TL;DR
This paper establishes conditions for matching stationary spacetimes using the quasi-Maxwell formalism, providing existence and uniqueness results, and constructs an explicit interior solution for a cylindrical NUT spacetime.
Contribution
It introduces a formalism for matching stationary spacetimes and proves existence and uniqueness results for symmetric cases, including an explicit interior for cylindrical NUT spacetime.
Findings
Derived necessary and sufficient matching conditions using quasi-Maxwell formalism.
Proved existence and uniqueness for symmetric stationary perfect fluid spacetimes.
Constructed explicit interior solution for cylindrical NUT spacetime.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.