Analytic discrete self-similar solutions of Einstein-Klein-Gordon at large D

Publication Server of Goethe University Frankfurt am Main (Goethe University Frankfurt) 2026 Preprint Open access

Read full text
Authors: Christian Ecker, Florian Ecker, Daniel Grumiller
DOI: 10.48550/arxiv.2601.14358
Cited by: 1

Abstract

Discretely self-similar solutions govern critical gravitational collapse and have been known only numerically since Choptuik's pioneering work. We construct, in closed analytic form, an infinite family of such solutions of the Einstein-massless-Klein-Gordon system using the large-D expansion. We characterize their structure and compare them with numerical critical solutions at finite D, identifying both universal features and distinctly large-D behavior.

Fields of Study & Subjects

Navier-Stokes equation solutions Advanced Mathematical Physics Problems Nonlinear Partial Differential Equations

Publication details

Journal / source
Publication Server of Goethe University Frankfurt am Main (Goethe University Frankfurt)
Publication date
20 January 2026
Language
EN
Document type
Preprint