Gravitoelectromagnetism in Teleparallel Equivalent of General Relativity: A New Alternative

Spaniol and Andrade introduced grvitoelectromagnetism in TEGR by considering superpotentials, times the determinant of tetrads, as the gravitoelectromagnetic fields. However, since this defined gravitoelectromagnetic field strength does not give rise to a complete set of Maxwell-like equations, we p...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2017-12
Main Authors: Kian Ming, Triyanta, Kosasih, J S
Format: Article
Language:English
Subjects:
Field strength
Gravitational waves
Mathematical analysis
Relativity
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Spaniol and Andrade introduced grvitoelectromagnetism in TEGR by considering superpotentials, times the determinant of tetrads, as the gravitoelectromagnetic fields. However, since this defined gravitoelectromagnetic field strength does not give rise to a complete set of Maxwell-like equations, we propose an alternative definition of the gravitoelectromagnetic field strength: instead of superpotentials, torsions are taken as the gravitoelectromagnetic field strengths. Based on this new proposal we are able to derive a complete set of Maxwell-like equations. We then apply them to obtain explicit expressions of the gravitoelectromagnetic fields both in Schwarzchilds spacetime and for gravitational waves.
ISSN:2331-8422
DOI:10.48550/arxiv.1712.02464