Towards gravitationally assisted negative refraction of light by vacuum

MacKay, Angus

doi:10.1088/0305-4470/37/50/c01

Cited by 1 publication

(3 citation statements)

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“…We then employ equation (27) plus classical charge conservation, ∇·J L +∂ρ/∂t=0. [16][17][18][19][20][21] showed that Maxwell's equations can be extended to general relativity (GR) in 3-vector notation. The extension in [21] uses so-called generalized microscopic polarization and magnetization fields.…”

Section: Generalized Uniqueness Theoremmentioning

confidence: 99%

“…The potential formalism in the extended GR Lagrangian density (c.f., section 2.1 and [19]) has the parameter, λ:…”

Section: Extended Longitudinal Electrodynamicsmentioning

confidence: 99%

“…Section 3 explains the general-relativistic (GR) EED formulation in 3-vector form [16][17][18][19][20][21]. Jiménez and Maroto (JM) [22] extended the potential theory of general relativity to account for unexplained cosmological phenomena.…”

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confidence: 99%

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Ohmura’s extended electrodynamics: longitudinal aspects in general relativity

Keller

Hively²

2019

J. Phys. Commun.

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Jiménez and Maroto ((2011) Phys. Rev. D 83, 023514) predicted that free-space, longitudinal electrodynamic waves can propagate in curved space-time, if the Lorenz condition is relaxed. The present work studies this possibility by combining and extending the original theory by Ohmura ((1956) Prog. Theor. Phys. 16, 684) and Woodside's uniqueness theorem ((2009) Am. J. Phys. 77, 438) to general relativity. Our formulation results in a theory that applies to both the field-(E, B) and potential-(Φ, A) domains. We establish a self-consistent, longitudinal wave-propagation theory for the microscopic longitudinal part of the electric field (E L ). We first show that the product of the parameters used previously for the extension of classical electrodynamics can be expressed as a superposition of microscopic displacement modes, which are confined to the energy shell, |ω|=cq. We then show that nonlinear electrodynamic mixing allows creation of longitudinal waves in the near-field region of a source. A propagator approach gives substantial physical insight into the emission process.

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