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Reference frames in harmonic coordinates: geometric and physical aspects

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Abstract

This work is focused on the geometrical and physical characteristics of the class of reference frames associated to harmonic coordinates. Precisely, we express in relative form the harmonicity conditions and consider the so called “spatially harmonicity” of a reference frame in spherical symmetry. The initial data problem is then analyzed in polar coordinates and the obtained results are applied to special cases of exact solutions.

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Correspondence to Ivana Bochicchio.

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Bochicchio, I., Laserra, E., Longobardi, A. et al. Reference frames in harmonic coordinates: geometric and physical aspects. Ricerche mat. 61, 219–230 (2012). https://doi.org/10.1007/s11587-011-0125-x

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  • DOI: https://doi.org/10.1007/s11587-011-0125-x

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