1304.6550 (S. A. Paston et al.)

Global embedding of the Reissner-Nordstrom metric in the flat ambient
space    [PDF]

S. A. Paston, A. A. Sheykin

We study isometric embeddings of non-extremal Reissner-Nordstrom metric describing a charged black hole. We obtain three new embeddings in the flat ambient space with minimal possible dimension. These embeddings are global, i.e. corresponding surfaces are smooth at all values of radius, including horizons. Each of the given embeddings covers one instance of the regions outside the horizon, one instance between the horizons and one instance inside the internal horizon. The lines of time for these embeddings turn out to be more complicated than circles or hyperbolas.

View original: http://arxiv.org/abs/1304.6550