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Since the Ricci tensor is inert under an overall constant rescaling of the metric, it will not change the total energy-momentum pseudotensor. Therefore, such a rescaling of metric will not change the mass per unit coordinate p-brane volume. (In the present case, this coordinate volume is also the p-brane volume measured in string metric at the spatial infinity of the transverse space.)
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[22] Since the Ricci tensor is inert under an overall constant rescaling of the metric, it will not change the total energy-momentum pseudotensor. Therefore, such a rescaling of metric will not change the mass per unit coordinate p-brane volume. (In the present case, this coordinate volume is also the p-brane volume measured in string metric at the spatial infinity of the transverse space.)
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