2024
Emerging electric or magnetic parts of Weyl tensor
SATI, Monika; K C PETWAL; Alexander PIGAZZINI; Cenap OZEL; Manoj Singh BISHT et. al.Basic information
Original name
Emerging electric or magnetic parts of Weyl tensor
Authors
SATI, Monika; K C PETWAL; Alexander PIGAZZINI; Cenap OZEL; Manoj Singh BISHT; Patrick LINKER; Richard PINCAK and Pavlína JALŮVKOVÁ (203 Czech Republic, belonging to the institution)
Edition
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 0219-8878
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10308 Astronomy
Country of publisher
Singapore
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 2.200
RIV identification code
RIV/47813059:19630/24:A0000409
Organization unit
Institute of physics in Opava
UT WoS
001157477600002
EID Scopus
2-s2.0-85184608551
Keywords in English
Einstein warped product; Electromagnetic field; Generalized Lorentz transformations; Maxwell's equations; PNDP- metric; PNDP-manifold; Weyl tensor
Tags
Tags
International impact, Reviewed
Changed: 6/3/2025 11:24, Mgr. Pavlína Jalůvková
Abstract
In the original language
In this paper, we study the PNDP-manifold, which has shown to be effective in applications, particularly in the field of general relativity, by introducing a new topological approach to the emergent electric or magnetic parts associated to the Weyl tensor. The working hypothesis in this study is that the electric or magnetic parts of the Weyl tensor are the dimensions of the PNDP-manifold and the interaction that emerges as "virtual" point-like manifolds and as a manifold with positive/ negative dimensions results in the generation of the purely electric or purely magnetic parts of the Weyl tensor. The PNDP metric for the electric or magnetic parts of the Weyl tensor is also derived. The generalized Lorentz transformations on the PNDP manifold are introduced. These can give rise to novel forms of gauge theories if we consider local Lorentz transformations. Also we briefly show that principal fiber bundles with PNDP manifolds as base manifolds can be constructed.