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Energy-Momentum Pseudotensor and Superpotential for Generally Covariant Theories of Gravity of General Form. / Ilin, Roman; Пастон, Сергей Александрович.

In: Universe, Vol. 6, No. 10, 173, 11.10.2020.

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

Harvard

Ilin, R & Пастон, СА 2020, 'Energy-Momentum Pseudotensor and Superpotential for Generally Covariant Theories of Gravity of General Form', Universe, vol. 6, no. 10, 173. https://doi.org/10.3390/universe6100173

APA

Ilin, R., & Пастон, С. А. (2020). Energy-Momentum Pseudotensor and Superpotential for Generally Covariant Theories of Gravity of General Form. Universe, 6(10), [173]. https://doi.org/10.3390/universe6100173

Vancouver

Ilin R, Пастон СА. Energy-Momentum Pseudotensor and Superpotential for Generally Covariant Theories of Gravity of General Form. Universe. 2020 Oct 11;6(10). 173. https://doi.org/10.3390/universe6100173

Author

Ilin, Roman ; Пастон, Сергей Александрович. / Energy-Momentum Pseudotensor and Superpotential for Generally Covariant Theories of Gravity of General Form. In: Universe. 2020 ; Vol. 6, No. 10.

BibTeX

@article{f8ca9271404c419b97a5dc4534b64962,
title = "Energy-Momentum Pseudotensor and Superpotential for Generally Covariant Theories of Gravity of General Form",
abstract = "The current paper is devoted to the investigation of the general form of the energy–momentum pseudotensor (pEMT) and the corresponding superpotential for the wide class of theories. The only requirement for such a theory is the general covariance of the action without any restrictions on the order of derivatives of the independent variables in it or their transformation laws. As a result of the generalized Noether procedure, we obtain a recurrent chain of the equations, which allows one to express canonical pEMT as a divergence of the superpotential. The explicit expression for this superpotential is also given. We discuss the structure of the obtained expressions and the conditions for the derived pEMT conservation laws to be satisfied independently (fully or partially) by the equations of motion. Deformations of the superpotential form for theories with a change in the independent variables in action are also considered. We apply these results to some interesting particular cases: general relativity and its modifications, particularly mimetic gravity and Regge–Teitelboim embedding gravity.",
keywords = "gravitational energy, energy-momentum pseudotensor, energy-momentum superpotential, noether theorem, general covariance, mimetic gravity, Regge-Teitelboim embedding gravity, CONSERVATION-LAWS, ANGULAR-MOMENTUM, FORMULATION, CONSTRAINTS, RELATIVITY, CURRENTS",
author = "Roman Ilin and Пастон, {Сергей Александрович}",
year = "2020",
month = oct,
day = "11",
doi = "10.3390/universe6100173",
language = "Английский",
volume = "6",
journal = "Universe",
issn = "2218-1997",
publisher = "MDPI AG",
number = "10",

}

RIS

TY - JOUR

T1 - Energy-Momentum Pseudotensor and Superpotential for Generally Covariant Theories of Gravity of General Form

AU - Ilin, Roman

AU - Пастон, Сергей Александрович

PY - 2020/10/11

Y1 - 2020/10/11

N2 - The current paper is devoted to the investigation of the general form of the energy–momentum pseudotensor (pEMT) and the corresponding superpotential for the wide class of theories. The only requirement for such a theory is the general covariance of the action without any restrictions on the order of derivatives of the independent variables in it or their transformation laws. As a result of the generalized Noether procedure, we obtain a recurrent chain of the equations, which allows one to express canonical pEMT as a divergence of the superpotential. The explicit expression for this superpotential is also given. We discuss the structure of the obtained expressions and the conditions for the derived pEMT conservation laws to be satisfied independently (fully or partially) by the equations of motion. Deformations of the superpotential form for theories with a change in the independent variables in action are also considered. We apply these results to some interesting particular cases: general relativity and its modifications, particularly mimetic gravity and Regge–Teitelboim embedding gravity.

AB - The current paper is devoted to the investigation of the general form of the energy–momentum pseudotensor (pEMT) and the corresponding superpotential for the wide class of theories. The only requirement for such a theory is the general covariance of the action without any restrictions on the order of derivatives of the independent variables in it or their transformation laws. As a result of the generalized Noether procedure, we obtain a recurrent chain of the equations, which allows one to express canonical pEMT as a divergence of the superpotential. The explicit expression for this superpotential is also given. We discuss the structure of the obtained expressions and the conditions for the derived pEMT conservation laws to be satisfied independently (fully or partially) by the equations of motion. Deformations of the superpotential form for theories with a change in the independent variables in action are also considered. We apply these results to some interesting particular cases: general relativity and its modifications, particularly mimetic gravity and Regge–Teitelboim embedding gravity.

KW - gravitational energy

KW - energy-momentum pseudotensor

KW - energy-momentum superpotential

KW - noether theorem

KW - general covariance

KW - mimetic gravity

KW - Regge-Teitelboim embedding gravity

KW - CONSERVATION-LAWS

KW - ANGULAR-MOMENTUM

KW - FORMULATION

KW - CONSTRAINTS

KW - RELATIVITY

KW - CURRENTS

U2 - 10.3390/universe6100173

DO - 10.3390/universe6100173

M3 - статья

VL - 6

JO - Universe

JF - Universe

SN - 2218-1997

IS - 10

M1 - 173

ER -

ID: 73846672