Canonical formulation of embedding gravity in a form of General Relativity with dark matter

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Canonical formulation of embedding gravity in a form of General Relativity with dark matter. / Пастон, Сергей Александрович ; Зайцева, Таисия Игоревна.

In: Gravitation and Cosmology, Vol. 29, No. 2, 01.02.2023, p. 153-162.

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

BibTeX

@article{8e214ab35e284f689a6f05d4d1e31414,

title = "Canonical formulation of embedding gravity in a form of General Relativity with dark matter",

abstract = "Abstract: We study embedding gravity, a modified theory of gravity in which our space-time is assumed to be a four-dimensional surface in flat ten-dimensional space. Based on a simple geometric idea, this theory can be reformulated as general relativity with additional degrees of freedom and a contribution to action which can be interpreted as describing dark matter. We study the canonical formalism for such a formulation of embedding gravity. After solving simple constraints, the Hamiltonian is reduced to a linear combination of four first-class constraints with Lagrange multipliers. There still remain six pairs of second-class constraints. Possible ways of taking these constraints into account are discussed. We show that one way of solving the constraints leads to a canonical system going into the previously known canonical formulation of the complete embedding theory with an implicitly defined constraint.",

author = "Пастон, {Сергей Александрович} and Зайцева, {Таисия Игоревна}",

year = "2023",

month = feb,

day = "1",

doi = "10.1134/S0202289323020093",

language = "English",

volume = "29",

pages = "153--162",

journal = "Gravitation and Cosmology",

issn = "0202-2893",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "2",

}

RIS

TY - JOUR

T1 - Canonical formulation of embedding gravity in a form of General Relativity with dark matter

AU - Пастон, Сергей Александрович

AU - Зайцева, Таисия Игоревна

PY - 2023/2/1

Y1 - 2023/2/1

N2 - Abstract: We study embedding gravity, a modified theory of gravity in which our space-time is assumed to be a four-dimensional surface in flat ten-dimensional space. Based on a simple geometric idea, this theory can be reformulated as general relativity with additional degrees of freedom and a contribution to action which can be interpreted as describing dark matter. We study the canonical formalism for such a formulation of embedding gravity. After solving simple constraints, the Hamiltonian is reduced to a linear combination of four first-class constraints with Lagrange multipliers. There still remain six pairs of second-class constraints. Possible ways of taking these constraints into account are discussed. We show that one way of solving the constraints leads to a canonical system going into the previously known canonical formulation of the complete embedding theory with an implicitly defined constraint.

AB - Abstract: We study embedding gravity, a modified theory of gravity in which our space-time is assumed to be a four-dimensional surface in flat ten-dimensional space. Based on a simple geometric idea, this theory can be reformulated as general relativity with additional degrees of freedom and a contribution to action which can be interpreted as describing dark matter. We study the canonical formalism for such a formulation of embedding gravity. After solving simple constraints, the Hamiltonian is reduced to a linear combination of four first-class constraints with Lagrange multipliers. There still remain six pairs of second-class constraints. Possible ways of taking these constraints into account are discussed. We show that one way of solving the constraints leads to a canonical system going into the previously known canonical formulation of the complete embedding theory with an implicitly defined constraint.

UR - https://www.mendeley.com/catalogue/2c30002a-cdc0-3081-9b37-4c7f8775133e/

U2 - 10.1134/S0202289323020093

DO - 10.1134/S0202289323020093

M3 - Article

VL - 29

SP - 153

EP - 162

JO - Gravitation and Cosmology

JF - Gravitation and Cosmology

SN - 0202-2893

IS - 2

ER -

ID: 106956198