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Is the equivalence for the response of static scalar sources in the Schwarzschild and Rindler spacetimes valid only in four dimensions?

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arxiv gr-qc/0410139 v1 pith:JNKAUWK7 submitted 2004-10-28 gr-qc hep-th

classification gr-qchep-th
keywords fourspacetimedimensionsequivalencescalarschwarzschildsourcesstatic
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It was shown recently that in four dimensions scalar sources with fixed proper acceleration minimally coupled to a massless Klein-Gordon field lead to the same responses when they are (i) uniformly accelerated in Minkowski spacetime (in the inertial vacuum) and (ii) static in the Schwarzschild spacetime (in the Unruh vacuum). Here we show that this equivalence is broken if the spacetime dimension is more than four.

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