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

Symmetry Integrability and Geometry-Methods and Applications

article

Sergey A. Paston¹  Anton A. Sheykin¹ 

[1] Saint Petersburg State University

关键词: isometric embedding;    global embedding Minkowski space;    GEMS;    Reissner– Nordstr¨om metric;    charged black hole;   

DOI  :  10.3842/SIGMA.2014.003

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown