Radial solution of the Monge-Ampère equation in 4 − D Einstein-Schwarzschild and FLRW manifolds

2025 · doi:10.22541/au.176099642.21452011/v1
preprint OA: closed
📄 Open PDF Full text JSON View at publisher

Abstract

In this paper we determine a radial solution of the Monge-Ampère equation in 4 − D Einstein-Schwarzschild and FLRW manifolds,using a change of symplectic variable which helps us to simplify the writing of the latter then put it in radial form which will result in an ordinary differential equation.
Full text 1,319 characters · extracted from oa-doi-fallback · 2 sections · click to expand

Abstract

In this paper we determine a radial solution of the Monge-Ampère equation in 4 − D Einstein-Schwarzschild and FLRW manifolds,using a change of symplectic variable which helps us to simplify the writing of the latter then put it in radial form which will result in an ordinary differential equation. Supplementary Material File (12.pdf) - Download - 225.25 KB Information & Authors Information Version history DOI Copyright This work is licensed under a Non Exclusive No Reuse License.

Keywords

Authors Metrics & Citations Metrics Article Usage 104views 76downloads Citations Download citation Riadh JELLOUL. Radial solution of the Monge-Ampère equation in 4 − D Einstein-Schwarzschild and FLRW manifolds. Authorea. 20 October 2025. DOI: https://doi.org/10.22541/au.176099642.21452011/v1 DOI: https://doi.org/10.22541/au.176099642.21452011/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.

Text is read by the "Ask this paper" AI Q&A widget below. Extraction quality varies by source — PMC NXML preserves structure cleanly, OA-HTML may include some navigation residue, and OA-PDF can have broken hyphenation. The publisher copy (via DOI) is the canonical version.

My notes (saved in your browser only)

⚙ Ask this paper AI returns verbatim quotes from the full text · source: oa-doi-fallback ⓘ

Answers must be backed by verbatim quotes from this paper's full text. Hallucinated quotes are dropped automatically; if no verbatim passage answers the question, we say so. How this works

Citation neighborhood (no data yet)

We don't have any in-corpus citations linked to this paper yet. This is a recent paper (2025) — citers typically take a year or two to land, and the OpenAlex reference graph may still be filling in.

Source provenance

europepmc
last seen: 2026-05-20T01:45:00.602351+00:00
unpaywall
last seen: 2026-06-13T06:42:57.164913+00:00