Static axially symmetric solutions of the Hermitian theory of relativity: Generalization of the Weyl-Levi Civita class of vacuum fields

Antoci, S.; Mihich, L.

doi:10.1007/bf02888862

Cited by 12 publications

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“…Since then, a number of papers have appeared on the energy-momentum problem and related matters; some of them are listed in Refs. [3,8,9,10,11,12,13,14,15,16,17,18,19]. The recent review of…”

Section: Introductionmentioning

confidence: 99%

Comment on “Casimir force acting on magnetodielectric bodies embedded in media”

Brevik

Ellingsen

2009

Phys. Rev. A

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In a recent paper [C. Raabe and D.-G. Welsch, Phys. Rev. A 71, 013814 (2005)] an electromagnetic energy-momentum tensor is suggested as an alternative to the Abraham-Minkowski tensor and is applied to calculations of Casimir forces in planar geometries. We argue that the universality of the suggested tensor is doubtful; application of the Raabe-Welsch theory to a simple example in classical electrodynamics shows that their proposed tensor is unable to describe the situation in a simple way. We also show that modified Casimir forces acting on the cavity medium as prescribed by these authors suffer from problems of definiteness and peculiar properties which call for experimental support before this theory can be regarded as acceptable.

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Section: Introductionmentioning

confidence: 99%

Comment on “Casimir force acting on magnetodielectric bodies embedded in media”

Brevik

Ellingsen

2009

Phys. Rev. A

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“…When Eqs. (8) and (9) are satisfied, R, = 0 and therefore also the rernainjng field equations of the Hermitian theory are satisfied.…”

Section: Some Solutions Which Depend On Three Co-ordinate8mentioning

confidence: 97%

“…(8) and (9) are just Maxwell's equations for a general electrostatic field, referred to Cartesian co-ordinates; a, b, c look like the covariant components of that field along x, y, z respectively. We can satisfy Eqs.…”

Section: Some Solutions Which Depend On Three Co-ordinate8mentioning

confidence: 99%

“…It can be objected that the dual interpretation is likewise possible, and that the field given by Eqs. (6)(7)(8)(9) could be considered to be magnetic rather than electric. We may reply, however, that the Hermitian theory is not affected by the duality which is characteristic of Maxwell's equations; as we will see in the following, if we want to ensure that the theory may describe the field of point electric charges in the simple manner shown previously, we must adhere to the electrostatic interpretation.…”

Section: Some Solutions Which Depend On Three Co-ordinate8mentioning

confidence: 99%

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Solutions of the Field Equations and Possible Meaning of the Hermitian Theory of Relativity

Antoci

1984

Annalen der Physik

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A b s t r a c t. 'A procedure is stated, which allows to build solutions of ;the Hermitian theory of relativity from known solutions of the general theory of relativity.Solutions depending on three co-ordinates, built from Minkowski metric, as well as Hermitian generalizations of the Weyl-Levi Civita solution are shown. They suggest that the imaginary part of the fundamental tensor gik may encompass fields of different physical behaviour, like the electromagnetic field and a field responsible for forces which do not depend on the distance between charges which cannot exist as individuals.

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“…According to Antoci and Mihich [21] Gordon [1] has already settled the notorious debate about Minkowski's [19] versus Abraham's [22] energy-momentum tensor in Abraham's favor. However, in his paper [1], Gordon assumed the dielectric properties of the medium ε, µ, and u α , as preassigned quantities.…”

Section: E Energy-momentum Tensormentioning

confidence: 99%