D-dimensional metrics with D-3 symmetries
A. Szereszewski, J. Tafel, M. Jakimowicz
TL;DR
This paper explores hidden symmetries in D-dimensional vacuum metrics with D-3 commuting Killing vectors, solving Einstein equations explicitly and relating specific solutions across dimensions.
Contribution
It provides a direct solution method for Einstein equations in the Maison formulation and links 4D and 5D solutions through symmetry transformations.
Findings
Explicit solutions for D-dimensional vacuum metrics with D-3 symmetries.
Connection established between 4D Reissner-Nordström and 5D Gross-Perry metrics.
Enhanced understanding of symmetry transformations in higher-dimensional gravity.
Abstract
Hidden symmetry transformations of D-dimensional vacuum metrics with D-3 commuting Killing vectors are studied. We solve directly the Einstein equations in the Maison formulation under additional assumptions. We relate the 4-dimensional Reissner-Nordstr\"om solution to a particular case of the 5-dimensional Gross-Perry metric.
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.