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The approach to gravity as a theory of embedded surface. / Sheykin, A. A.; Paston, S. A.

The approach to gravity as a theory of embedded surface. 2014.

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Harvard

Sheykin, AA & Paston, SA 2014, The approach to gravity as a theory of embedded surface. в The approach to gravity as a theory of embedded surface. https://doi.org/10.1063/1.4891157

APA

Sheykin, A. A., & Paston, S. A. (2014). The approach to gravity as a theory of embedded surface. в The approach to gravity as a theory of embedded surface https://doi.org/10.1063/1.4891157

Vancouver

Sheykin AA, Paston SA. The approach to gravity as a theory of embedded surface. в The approach to gravity as a theory of embedded surface. 2014 https://doi.org/10.1063/1.4891157

Author

Sheykin, A. A. ; Paston, S. A. / The approach to gravity as a theory of embedded surface. The approach to gravity as a theory of embedded surface. 2014.

BibTeX

@inproceedings{e7a6b085e22f43dc89f0ab9671dfda8e,
title = "The approach to gravity as a theory of embedded surface",
abstract = "We study the approach to gravity in which our curved spacetime is considered as a surface in a flat ambient space of higher dimension (the embedding theory). The dynamical variable in this theory is not a metric but an embedding function. The Euler-Lagrange equations for this theory (Regge-Teitelboim equations) are more general than the Einstein equations, and admit {"}extra solutions{"} which do not correspond to any Einsteinian metric. The Regge-Teitelboim equations can be explicitly analyzed for the solutions with high symmetry. We show that symmetric embeddings of a static spherically symmetric asymptotically flat metrics in a 6-dimensional ambient space do not admit extra solutions of the vacuum Regge-Teitelboim equations. Therefore in the embedding theory the solutions with such properties correspond to the exterior Schwarzchild metric.",
keywords = "embedding theory, Regge-Teitelboim equations, isometric embeddings, extra solutions, Schwarzchild metric, asymptotic flatness",
author = "Sheykin, {A. A.} and Paston, {S. A.}",
year = "2014",
doi = "10.1063/1.4891157",
language = "English",
isbn = "9780735412422",
booktitle = "The approach to gravity as a theory of embedded surface",

}

RIS

TY - GEN

T1 - The approach to gravity as a theory of embedded surface

AU - Sheykin, A. A.

AU - Paston, S. A.

PY - 2014

Y1 - 2014

N2 - We study the approach to gravity in which our curved spacetime is considered as a surface in a flat ambient space of higher dimension (the embedding theory). The dynamical variable in this theory is not a metric but an embedding function. The Euler-Lagrange equations for this theory (Regge-Teitelboim equations) are more general than the Einstein equations, and admit "extra solutions" which do not correspond to any Einsteinian metric. The Regge-Teitelboim equations can be explicitly analyzed for the solutions with high symmetry. We show that symmetric embeddings of a static spherically symmetric asymptotically flat metrics in a 6-dimensional ambient space do not admit extra solutions of the vacuum Regge-Teitelboim equations. Therefore in the embedding theory the solutions with such properties correspond to the exterior Schwarzchild metric.

AB - We study the approach to gravity in which our curved spacetime is considered as a surface in a flat ambient space of higher dimension (the embedding theory). The dynamical variable in this theory is not a metric but an embedding function. The Euler-Lagrange equations for this theory (Regge-Teitelboim equations) are more general than the Einstein equations, and admit "extra solutions" which do not correspond to any Einsteinian metric. The Regge-Teitelboim equations can be explicitly analyzed for the solutions with high symmetry. We show that symmetric embeddings of a static spherically symmetric asymptotically flat metrics in a 6-dimensional ambient space do not admit extra solutions of the vacuum Regge-Teitelboim equations. Therefore in the embedding theory the solutions with such properties correspond to the exterior Schwarzchild metric.

KW - embedding theory

KW - Regge-Teitelboim equations

KW - isometric embeddings

KW - extra solutions

KW - Schwarzchild metric

KW - asymptotic flatness

U2 - 10.1063/1.4891157

DO - 10.1063/1.4891157

M3 - Conference contribution

SN - 9780735412422

BT - The approach to gravity as a theory of embedded surface

ER -

ID: 7010196