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Canonical formulation of embedding gravity in a form of General Relativity with dark matter. / Пастон, Сергей Александрович; Зайцева, Таисия Игоревна.
в: Gravitation and Cosmology, Том 29, № 2, 01.02.2023, стр. 153-162.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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