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Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Original Articles

On Asymptotic Time for an Evolution with Non-Local Boundary Condition

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pp. 61–77Vol. 4Issue 1May 2006DOI: 10.1080/1726037X.2006.10698503XML
Received:
06 Jun 2005
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2006.10698503
Pages:
61–77

Abstract

Physically meaningful solutions of Maxwell equations on S3 × R spacetime are derived, as linear superposition of the α- and β-polarized, left- and right-moving modes, of positive and negative frequencies. Using the orthonormal electric and magnetic fields intensities, we compute the components of the Umov-Poynting vector, of the effective momentum and the energy density. In the last section, non-trivial solutions for the 4-potential A, satisfying the F = 0 property, are employed to analyze how the presence of the electromagnetic vacuum modes is affecting the solution of the Klein-Gordon equation, in comparison to its usual form on the Minkowskian background.

Keywords

References

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