Sergey A. Paston, Anton A. Sheykin, “Global Embedding of the Reissner–Nordström Metric in the Flat Ambient Space”, SIGMA, 2014, Volume 10,003, 10 pp.

This article is cited in 13 papers

Global Embedding of the Reissner–Nordström Metric in the Flat Ambient Space

Sergey A. Paston, Anton A. Sheykin

Saint Petersburg State University, St. Petersburg, Russia

Abstract: We study isometric embeddings of non-extremal Reissner–Nordström 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.

Keywords: isometric embedding; global embedding Minkowski space; GEMS; Reissner–Nordström metric; charged black hole.

MSC: 83C57; 83E15; 83C20

Received: November 22, 2013; in final form January 3, 2014; Published online January 7, 2014

Language: English

DOI: 10.3842/SIGMA.2014.003