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Global Embedding of the Reissner-Nordstrom Metric in the Flat Ambient Space. / Paston, S.A.; Sheykin, A.A.

In: Symmetry, Integrability and Geometry - Methods and Applications, Vol. 10, 2014, p. 003_1-10.

Research output: Contribution to journal › Article

Harvard

Paston, SA & Sheykin, AA 2014, 'Global Embedding of the Reissner-Nordstrom Metric in the Flat Ambient Space', Symmetry, Integrability and Geometry - Methods and Applications, vol. 10, pp. 003_1-10. https://doi.org/10.3842/SIGMA.2014.003

APA

Paston, S. A., & Sheykin, A. A. (2014). Global Embedding of the Reissner-Nordstrom Metric in the Flat Ambient Space. Symmetry, Integrability and Geometry - Methods and Applications, 10, 003_1-10. https://doi.org/10.3842/SIGMA.2014.003

Vancouver

Paston SA, Sheykin AA. Global Embedding of the Reissner-Nordstrom Metric in the Flat Ambient Space. Symmetry, Integrability and Geometry - Methods and Applications. 2014;10:003_1-10. https://doi.org/10.3842/SIGMA.2014.003

Author

Paston, S.A. ; Sheykin, A.A. / Global Embedding of the Reissner-Nordstrom Metric in the Flat Ambient Space. In: Symmetry, Integrability and Geometry - Methods and Applications. 2014 ; Vol. 10. pp. 003_1-10.

BibTeX

@article{1a1b7489794b4ef4bb4647c80fc0f4ee,
title = "Global Embedding of the Reissner-Nordstrom Metric in the Flat Ambient Space",
abstract = "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.",
keywords = "isometric embedding, global embedding Minkowski space, GEMS, Reissner-Nordstrom metric, charged black hole",
author = "S.A. Paston and A.A. Sheykin",
year = "2014",
doi = "10.3842/SIGMA.2014.003",
language = "English",
volume = "10",
pages = "003_1--10",
journal = "Symmetry, Integrability and Geometry - Methods and Applications",
issn = "1815-0659",
publisher = "Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine",

}

RIS

TY - JOUR

T1 - Global Embedding of the Reissner-Nordstrom Metric in the Flat Ambient Space

AU - Paston, S.A.

AU - Sheykin, A.A.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - isometric embedding

KW - global embedding Minkowski space

KW - GEMS

KW - Reissner-Nordstrom metric

KW - charged black hole

U2 - 10.3842/SIGMA.2014.003

DO - 10.3842/SIGMA.2014.003

M3 - Article

VL - 10

SP - 003_1-10

JO - Symmetry, Integrability and Geometry - Methods and Applications

JF - Symmetry, Integrability and Geometry - Methods and Applications

SN - 1815-0659

ER -

ID: 6995006