Duffin-Kemmer-Petiau equation in Riemannian space-times
J. T. Lunardi, B. M. Pimentel, R. G. Teixeira (Sao Paulo, IFT)
TL;DR
This paper extends the Duffin-Kemmer-Petiau equation to Riemannian space-times, demonstrating that it encompasses the Klein-Gordon and Proca equations for spin 0 and 1 fields, respectively.
Contribution
It generalizes the Duffin-Kemmer-Petiau equation to curved space-times and shows its consistency with established scalar and vector field equations.
Findings
Recovery of Klein-Gordon equation for spin 0 in Riemannian space-times
Recovery of Proca equation for spin 1 in Riemannian space-times
Unified framework for spin 0 and 1 fields in curved space-times
Abstract
In this work we analyze the generalization of Duffin-Kemmer-Petiau equation to the case of Riemannian space-times and show that the usual results for Klein-Gordon and Proca equations in Riemannian space-times can be fully recovered when one selects, respectively, the spin 0 and 1 sectors of Duffin-Kemmer-Petiau theory.
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