Relativity and Cosmology

    

Newtonian Knot in Empty (2+1)-Dimensional Anti-de Sitter Space-Time

Authors: Miftachul Hadi

We propose the existence of a topological object, a Newtonian knot, in the framework of an Abelian Chern-Simons gravity with a small but non-zero negative cosmological constant in empty (2+1)-dimensional anti-de Sitter space-time. This proposal is based on the idea that the Ricci curvature tensor consists of a set of curvature components satisfying the non-trivial Hopf maps, leading to topological structures. Working within the Abelian Chern-Simons (first-order) framework, where the dreibein and spin connection are treated as independent fields, we derive the corresponding field equations and present ansatz solutions for both fields. Our results suggest that the Newtonian knot may be a novel topological feature in low-dimensional gravity.

Comments: Written using latex, no figure, 6 pages

Download: PDF

Submission history

[v1] 2024-12-10 22:08:36
[v2] 2025-02-12 23:48:49

Unique-IP document downloads: 196 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus