Magnetic fields in conformally flat spacetimes

Details Magnetic fields in conformally flat spacetimes Magnetic fields in conformally flat spacetimes

May 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007jphcs..68a2051t&link_type=abstract

Journal of Physics: Conference Series, Volume 68, Issue 1, pp. 012051 (2007).

Physics

2

Scientific paper

There is a widespread perception in the community that large-scale magnetic fields in Friedmann-Robertson-Walker (FRW) universe always decay adiabatically. This belief follows from the conformal invariance of standard electromagnetism and from the conformal flatness of the FRW spacetimes. Together, they are thought to guarantee that magnetic fields in Friedmann models will always behave as if the space was Minkowski. However, this is only true in spatially flat FRW universes. Although Friedmannian spacetimes with non-Euclidean 3-spaces are also conformally flat, their conformal factors have an additional spatial dependence. This triggers a magneto-curvature term in the magnetic wave equation, which can modify the standard 'adiabatic' magnetic decay and lead to a superadiabatic-type amplification of the B-field on lengths close to the associated curvature scale. Our aim is to explain the general relativistic nature of this effect and discuss its physical implications.

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