On creating mass/matter by extra dimensions in the Einstein-Gauss-Bonnet gravity
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Kaluza–Klein (KK) black hole solutions in the Einstein–Gauss–Bonnet (EGB) gravity in D dimensions obtained in the current series of the works by Maeda, Dadhich and Molina are examined. Interpreting their solutions, the authors claim that mass/matter is created by the extra dimensions. To support this claim, one needs to show that such objects have classically defined masses. We calculate the mass and mass flux for 3D KK black holes in 6D EGB gravity whose properties are sufficiently physically interesting. Superpotentials for arbitrary types of perturbations on arbitrary curved backgrounds, recently obtained by the author, are used, and acceptable mass and mass flux are obtained. A possibility of considering the KK created matter as dark matter in the Universe is discussed.
KeywordsBlack Hole Dark Matter Extra Dimension Black Hole Solution Global Mass
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