Gravitational energy in the framework of embedding and splitting theories

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Gravitational energy in the framework of embedding and splitting theories. / Grad, D. A.; Ilin, R. V.; Paston, S. A.; Sheykin, A. A.

In: International Journal of Modern Physics D, Vol. 27, No. 2, 1750188, 01.2018.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{42442d5714094e38a812fc84532ff4f5,

title = "Gravitational energy in the framework of embedding and splitting theories",

abstract = "We study various definitions of the gravitational field energy based on the usage of isometric embeddings in the Regge–Teitelboim approach. For the embedding theory, we consider the coordinate translations on the surface as well as the coordinate translations in the flat bulk. In the latter case, the independent definition of gravitational energy–momentum tensor appears as a Noether current corresponding to global inner symmetry. In the field-theoretic form of this approach (splitting theory), we consider Noether procedure and the alternative method of energy–momentum tensor defining by varying the action of the theory with respect to flat bulk metric. As a result, we obtain energy definition in field-theoretic form of embedding theory which, among the other features, gives a nontrivial result for the solutions of embedding theory which are also solutions of Einstein equations. The question of energy localization is also discussed.",

keywords = "covariantization, embedding theory, gravitational energy, Isometric embeddings, Noether theorem, pseudotensor, Regge–Teitelboim approach, splitting theory, superpotential, SYSTEM, GENERAL-RELATIVITY, FIELD, TERMS, Regge-Teitelboim approach, FORMULATION, GRAVITY, SPACE-TIME, SURFACE",

author = "Grad, {D. A.} and Ilin, {R. V.} and Paston, {S. A.} and Sheykin, {A. A.}",

year = "2018",

month = jan,

doi = "10.1142/S0218271817501887",

language = "English",

volume = "27",

journal = "International Journal of Modern Physics D",

issn = "0218-2718",

publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

number = "2",

}

RIS

TY - JOUR

T1 - Gravitational energy in the framework of embedding and splitting theories

AU - Grad, D. A.

AU - Ilin, R. V.

AU - Paston, S. A.

AU - Sheykin, A. A.

PY - 2018/1

Y1 - 2018/1

N2 - We study various definitions of the gravitational field energy based on the usage of isometric embeddings in the Regge–Teitelboim approach. For the embedding theory, we consider the coordinate translations on the surface as well as the coordinate translations in the flat bulk. In the latter case, the independent definition of gravitational energy–momentum tensor appears as a Noether current corresponding to global inner symmetry. In the field-theoretic form of this approach (splitting theory), we consider Noether procedure and the alternative method of energy–momentum tensor defining by varying the action of the theory with respect to flat bulk metric. As a result, we obtain energy definition in field-theoretic form of embedding theory which, among the other features, gives a nontrivial result for the solutions of embedding theory which are also solutions of Einstein equations. The question of energy localization is also discussed.

AB - We study various definitions of the gravitational field energy based on the usage of isometric embeddings in the Regge–Teitelboim approach. For the embedding theory, we consider the coordinate translations on the surface as well as the coordinate translations in the flat bulk. In the latter case, the independent definition of gravitational energy–momentum tensor appears as a Noether current corresponding to global inner symmetry. In the field-theoretic form of this approach (splitting theory), we consider Noether procedure and the alternative method of energy–momentum tensor defining by varying the action of the theory with respect to flat bulk metric. As a result, we obtain energy definition in field-theoretic form of embedding theory which, among the other features, gives a nontrivial result for the solutions of embedding theory which are also solutions of Einstein equations. The question of energy localization is also discussed.

KW - covariantization

KW - embedding theory

KW - gravitational energy

KW - Isometric embeddings

KW - Noether theorem

KW - pseudotensor

KW - Regge–Teitelboim approach

KW - splitting theory

KW - superpotential

KW - SYSTEM

KW - GENERAL-RELATIVITY

KW - FIELD

KW - TERMS

KW - Regge-Teitelboim approach

KW - FORMULATION

KW - GRAVITY

KW - SPACE-TIME

KW - SURFACE

UR - http://www.scopus.com/inward/record.url?scp=85030852897&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-85030852897&partnerID=MN8TOARS

UR - http://www.mendeley.com/research/gravitational-energy-framework-embedding-splitting-theories

U2 - 10.1142/S0218271817501887

DO - 10.1142/S0218271817501887

M3 - Article

AN - SCOPUS:85030852897

VL - 27

JO - International Journal of Modern Physics D

JF - International Journal of Modern Physics D

SN - 0218-2718

IS - 2

M1 - 1750188

ER -

ID: 9218188