Constraint Algebra for Regge-Teitelboim Formulation of Gravity

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Constraint Algebra for Regge-Teitelboim Formulation of Gravity. / Paston, S. A.; Semenova, A. N.

In: International Journal of Theoretical Physics, Vol. 49, No. 11, 2010.

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Paston, S. A. ; Semenova, A. N. / Constraint Algebra for Regge-Teitelboim Formulation of Gravity. In: International Journal of Theoretical Physics. 2010 ; Vol. 49, No. 11.

BibTeX

@article{e7c04c57bcb540e692e48a5c5f8629aa,

title = "Constraint Algebra for Regge-Teitelboim Formulation of Gravity",

abstract = "We consider the formulation of the gravity theory first suggested by Regge and Teitelboim where the space-time is a four-dimensional surface in a flat ten-dimen\-sional space. We investigate a canonical formalism for this theory following the approach suggested by Regge and Teitelboim. Under constructing the canonical formalism we impose additional constraints agreed with the equations of motion. We obtain the exact form of the first-class constraint algebra. We show that this algebra contains four constraints which form a subalgebra (the ideal), and if these constraints are fulfilled, the algebra becomes the constraint algebra of the Arnowitt-Deser-Misner formalism of Einstein's gravity. The reasons for the existence of additional first-class constraints in the canonical formalism are discussed.",

keywords = "Isometric embedding, Theory of gravity, Canonical formalism, Constraint algebra",

author = "Paston, {S. A.} and Semenova, {A. N.}",

year = "2010",

doi = "10.1007/s10773-010-0456-5",

language = "English",

volume = "49",

journal = "International Journal of Theoretical Physics",

issn = "0020-7748",

publisher = "Springer Nature",

number = "11",

}

RIS

TY - JOUR

T1 - Constraint Algebra for Regge-Teitelboim Formulation of Gravity

AU - Paston, S. A.

AU - Semenova, A. N.

PY - 2010

Y1 - 2010

N2 - We consider the formulation of the gravity theory first suggested by Regge and Teitelboim where the space-time is a four-dimensional surface in a flat ten-dimen\-sional space. We investigate a canonical formalism for this theory following the approach suggested by Regge and Teitelboim. Under constructing the canonical formalism we impose additional constraints agreed with the equations of motion. We obtain the exact form of the first-class constraint algebra. We show that this algebra contains four constraints which form a subalgebra (the ideal), and if these constraints are fulfilled, the algebra becomes the constraint algebra of the Arnowitt-Deser-Misner formalism of Einstein's gravity. The reasons for the existence of additional first-class constraints in the canonical formalism are discussed.

AB - We consider the formulation of the gravity theory first suggested by Regge and Teitelboim where the space-time is a four-dimensional surface in a flat ten-dimen\-sional space. We investigate a canonical formalism for this theory following the approach suggested by Regge and Teitelboim. Under constructing the canonical formalism we impose additional constraints agreed with the equations of motion. We obtain the exact form of the first-class constraint algebra. We show that this algebra contains four constraints which form a subalgebra (the ideal), and if these constraints are fulfilled, the algebra becomes the constraint algebra of the Arnowitt-Deser-Misner formalism of Einstein's gravity. The reasons for the existence of additional first-class constraints in the canonical formalism are discussed.

KW - Isometric embedding

KW - Theory of gravity

KW - Canonical formalism

KW - Constraint algebra

U2 - 10.1007/s10773-010-0456-5

DO - 10.1007/s10773-010-0456-5

M3 - Article

VL - 49

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

SN - 0020-7748

IS - 11

ER -

ID: 8148150