The decoupling problem of the Proca equation; and treatment of Dirac, Maxwell and Proca fields on the resulting pp-wave spacetimes

In this work we take a formal approach to the problem of decoupling Proca equations in curved space-times. We use Newman-Penrose (NP) two-spinor formalism to represent the Proca vector by one complex and two real scalars. We show that a decoupled second order differential equation for one of the rea...

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Bibliographic Details
Published in:arXiv.org 2016-06
Main Authors: Düztaş, Koray, Semiz, İbrahim
Format: Article
Language:English
Subjects:
Decoupling
Differential equations
Mathematical analysis
Scalars
Spacetime
Online Access:Get full text
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Summary:In this work we take a formal approach to the problem of decoupling Proca equations in curved space-times. We use Newman-Penrose (NP) two-spinor formalism to represent the Proca vector by one complex and two real scalars. We show that a decoupled second order differential equation for one of the real scalars can be derived if and only if the background space-time admits a covariantly constant null vector. Thus, the background space-time must be a pp-wave vacuum. We evaluate the separability of Proca, Maxwell and Dirac equations on the resulting pp-wave background.
ISSN:2331-8422
DOI:10.48550/arxiv.1508.02565