Abstract
Abstract The Maxwell radiation field is an essential physical characteristic of a galaxy. Here, an analytical model is built to simulate that field in an axisymmetric galaxy. This analytical model is based on an explicit representation for axisymmetric source-free Maxwell fields. In a previous work, the general applicability of this representation has been proved. The model is adjusted by fitting to it the sum of spherical radiations emitted by the composing “stars.” The huge ratio distance/wavelength needs to implement a numerical precision better than the quadruple precision. The model passes a validation test based on a spherically symmetric solution. The results for a set of “stars” representative of a disk galaxy indicate that the field is highest near the disk axis, and there the axial component of E {\bf{E}} dominates over the radial one. This work will allow us in the future to check if the interaction energy predicted by an alternative theory of gravitation might be a component of dark matter.
Highlights
Apart from pure magnetic fields, which are thought to be produced by a galactic dynamo action [1, 2], the electromagnetic (EM) field in a galaxy is in the form of EM radiation, i.e., of propagating EM waves covering the whole spectrum, from radio to gamma
I.e., the theory does not say anything about the possibility that the interaction energy might result from underlying quantum particles.) The interaction energy tensor is characterized by a scalar, which is determined by the gravitational and EM fields in the preferred frame of the theory; it depends on the velocity of the reference frame used, with respect to that preferred frame
An analytical model has been built for the Maxwell field in an axisymmetric galaxy, in particular for that field which results from stellar radiation
Summary
Apart from pure magnetic fields, which are thought to be produced by a galactic dynamo action [1, 2], the electromagnetic (EM) field in a galaxy is in the form of EM radiation, i.e., of propagating EM waves covering the whole spectrum, from radio to gamma. Our main motivation for that work is to make a step towards testing the following prediction [5] of an alternative theory of gravity, which is a scalar theory with a preferred reference frame: In the presence of both a variable gravitational field and an EM field, the total energy(-momentum-stress) tensor is not the sum of the energy tensors of matter and the EM field — there must appear a specific interaction energy tensor, which should be distributed in space, and be gravitationally active. I.e., the theory does not say anything about the possibility that the interaction energy might result from underlying quantum particles.) The interaction energy tensor is characterized by a scalar (field), which is determined by the gravitational and EM fields in the preferred frame of the theory; it depends on the velocity of the reference frame used, with respect to that preferred frame. In order to calculate that scalar field in a weak and slowly varying gravitational field, one has to know the EM field and its first-order derivatives, as well as the time derivative ∂T U and the spatial gradient of the latter [5]. (Here U is the Newtonian potential.)
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