Work

A physical classification of Killing magnetic fields in Thurston geometries

Year: 2024

Type: article

Abstract: In recent years, numerous studies have appeared that considered Killing vectors of three‐dimensional Riemannian manifolds as magnetic fields, since these vector fields are divergenceless by definition. The existence of adivergenceless vector field modeled as a magnetic field does not imply that it is physically realizable. In this study, we propose a physical classification scheme based on the divergences of the integral that defines the energy of a Killing magnetic field. We consider all the Killing magnetic fields of Thurston geometries studied in the literature and classify them as either physical or nonphysical.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10589

Authors: Furkan Semih Dündar, Özgür Kelekçi, Gülhan Ayar

Institutions: Sakarya University, Amasya Üniversitesi, University of Turkish Aeronautical Association, Karamanoğlu Mehmetbey University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,760

OpenAlex ID: W4404029847

FWCI:

Cites: 18

Cited by:

Related to: 10