Anti-de Sitter geon families
Gyula Fodor, P\'eter Forg\'acs
TL;DR
This paper constructs and analyzes various families of time-periodic, regular solutions to Einstein's equations with negative cosmological constant, revealing diverse symmetry properties at fifth-order perturbation.
Contribution
It provides a detailed perturbative method to generate and classify AdS geon solutions with different symmetries, expanding understanding of their structure.
Findings
Five distinct geon families identified at fifth order
Two geons possess a helical Killing vector
One geon exhibits axial symmetry
Abstract
A detailed perturbative construction of globally regular, asymptotically anti-de Sitter (AdS) time-periodic solutions of Einstein's equations with a negative cosmological constant (AdS geons) is presented. Starting with the most general superposition of the even parity (scalar) eigenmodes of AdS at linear order, it is shown that at the fifth order in perturbation theory one obtains five one-parameter geon families, two of which have a helical Killing vector, one with axial symmetry, and two others without continuous symmetries. The details and some subtle aspects of the perturbative expansions are also presented.
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.