Electromagnetic Field in Lyra Manifold: A First Order Approach
R. Casana, C. A. M. de Melo, B. M. Pimentel
TL;DR
This paper explores the interaction of electromagnetic fields with a Lyra manifold incorporating torsion, deriving equations of motion and physical tensors using a first-order theoretical approach.
Contribution
It introduces a novel coupling framework of electromagnetic fields with Lyra geometry employing the Duffin-Kemmer-Petiau theory and the Schwinger Variational Principle.
Findings
Derived equations of motion for electromagnetic fields in Lyra manifolds.
Obtained energy-momentum and spin density tensors in this geometric setting.
Provided a first-order approach to coupling electromagnetism with torsioned Lyra geometry.
Abstract
We discuss the coupling of the electromagnetic field with a curved and torsioned Lyra manifold using the Duffin-Kemmer-Petiau theory. We will show how to obtain the equations of motion and energy-momentum and spin density tensors by means of the Schwinger Variational Principle.
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