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Definitions of energy for the description of gravity as the splitting theory. / Град, Дмитрий Антонович; Пастон, Сергей Александрович; Шейкин, Антон Андреевич.

в: Journal of Physics: Conference Series, Том 1038, № 1, 012007, 18.06.2018.

Результаты исследований: Научные публикации в периодических изданияхстатья в журнале по материалам конференцииРецензирование

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@article{737122c7856d44a3bd75a19c63f5b871,
title = "Definitions of energy for the description of gravity as the splitting theory",
abstract = "We study the definitions of energy, naturally arising in the splitting theory, which is the field theoretic formulation of the Regge-Teitelboim gravity. The latter regards our spacetime as a surface embedded in a flat bulk. The splitting theory describes embedded spacetime in the language of the some field theory in a flat bulk. We consider the Noether energy-momentum tensor (EMT) and the metric EMT defined by the variation with respect to the metric of a flat bulk. We discuss a localizability of energy. Then using these EMTs we calculate the full energy of an isolated massive body. We compare the results with the standard general relativity results obtained from the Einstein energy-momentum pseudotensor (pEMT) and from the M{\o}ller pEMT. Finally, we propose the several ways of correction of the definitions of the energy in the splitting theory.",
keywords = "isometric embeddings, Noether theorem, gravitational energy, pseudotensor, superpotential, covariantization, Regge-Teitelboim approach, splitting theory, embedding theory",
author = "Град, {Дмитрий Антонович} and Пастон, {Сергей Александрович} and Шейкин, {Антон Андреевич}",
year = "2018",
month = jun,
day = "18",
doi = "10.1088/1742-6596/1038/1/012007",
language = "English",
volume = "1038",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",
note = "International Conference PhysicA.SPb 2018 ; Conference date: 23-10-2018 Through 25-10-2018",

}

RIS

TY - JOUR

T1 - Definitions of energy for the description of gravity as the splitting theory

AU - Град, Дмитрий Антонович

AU - Пастон, Сергей Александрович

AU - Шейкин, Антон Андреевич

PY - 2018/6/18

Y1 - 2018/6/18

N2 - We study the definitions of energy, naturally arising in the splitting theory, which is the field theoretic formulation of the Regge-Teitelboim gravity. The latter regards our spacetime as a surface embedded in a flat bulk. The splitting theory describes embedded spacetime in the language of the some field theory in a flat bulk. We consider the Noether energy-momentum tensor (EMT) and the metric EMT defined by the variation with respect to the metric of a flat bulk. We discuss a localizability of energy. Then using these EMTs we calculate the full energy of an isolated massive body. We compare the results with the standard general relativity results obtained from the Einstein energy-momentum pseudotensor (pEMT) and from the Møller pEMT. Finally, we propose the several ways of correction of the definitions of the energy in the splitting theory.

AB - We study the definitions of energy, naturally arising in the splitting theory, which is the field theoretic formulation of the Regge-Teitelboim gravity. The latter regards our spacetime as a surface embedded in a flat bulk. The splitting theory describes embedded spacetime in the language of the some field theory in a flat bulk. We consider the Noether energy-momentum tensor (EMT) and the metric EMT defined by the variation with respect to the metric of a flat bulk. We discuss a localizability of energy. Then using these EMTs we calculate the full energy of an isolated massive body. We compare the results with the standard general relativity results obtained from the Einstein energy-momentum pseudotensor (pEMT) and from the Møller pEMT. Finally, we propose the several ways of correction of the definitions of the energy in the splitting theory.

KW - isometric embeddings

KW - Noether theorem

KW - gravitational energy

KW - pseudotensor

KW - superpotential

KW - covariantization

KW - Regge-Teitelboim approach

KW - splitting theory

KW - embedding theory

UR - http://www.scopus.com/inward/record.url?scp=85049521448&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/definitions-energy-description-gravity-splitting-theory

U2 - 10.1088/1742-6596/1038/1/012007

DO - 10.1088/1742-6596/1038/1/012007

M3 - Conference article

VL - 1038

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012007

T2 - International Conference PhysicA.SPb 2018

Y2 - 23 October 2018 through 25 October 2018

ER -

ID: 33211056