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- W2105377330 abstract "The well known (3+1) decomposition of Thorne and Macdonald is invoked to write down the Einstein–Maxwell equations generalized to (d+1) dimensions and also to formulate the plasma equations in a flat Friedmann–Robertson–Walker-like spacetime in higher dimensions. Assuming an equation of state for the background metric we find solutions also as dispersion relations in different regimes of the universe in a unified manner, both for magnetized and for unmagnetized cold plasma. We find that for a free photon in an expanding background we get maximum redshift in 4D spacetime, while for a particular dimension this occurs in the pre-recombination era. Further wave propagation in magnetized plasma is possible for a restricted frequency range only, depending on the number of dimensions. It is worth pointing out that, unlike the case for the special relativistic result, this allowed range evolves with time. Interestingly the dielectric constant of the plasma media remains constant, not sharing the expansion of the background, which generalizes a similar 4D result of Holcomb and Tajima for a radiation background to the case of higher dimensions with cosmic matter obeying an equation of state. Further, like for the flat space static case, we observe the phenomenon of Faraday rotation in the higher dimensional case also." @default.
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- W2105377330 date "2008-08-27" @default.
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- W2105377330 title "General relativistic plasma in higher dimensional spacetime" @default.
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- W2105377330 doi "https://doi.org/10.1088/1475-7516/2008/08/032" @default.
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