Constitutive Representation of Gravitomagnetic Modes within the Logarithmic Strain Framework

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Authors: Matthew Alexander Firtl
Cited by: 0

Abstract

Version 3.0 extends the logarithmic strain representation of linearized general relativity by restoring the shift sector in a 3+1 weak-field decomposition. The gravitomagnetic potential is identified with the shift field, and its symmetric trace-free gradient generates a dynamical shear mode through the extrinsic curvature. The Lense–Thirring limit is recovered without introducing additional degrees of freedom or modifying Einstein’s equations. This version provides constitutive coverage of all linearized source sectors (T00, T0i, Tij) in the weak-field regime.

Fields of Study & Subjects

Relativity and Gravitational Theory Cosmology and Gravitation Theories Pulsars and Gravitational Waves Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
3 March 2026
Language
EN
Document type
Preprint