Canonical Description for Formulation of Embedding Gravity as a Field Theory in a Flat Spacetime

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Canonical Description for Formulation of Embedding Gravity as a Field Theory in a Flat Spacetime. / Paston, Sergey ; Semenova, Elizaveta ; Sheykin, Anton.

In: Symmetry, Vol. 12, No. 5, 722, 01.05.2020.

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

BibTeX

@article{00eee5f7be3d4cd98e37a2dfe7578740,

title = "Canonical Description for Formulation of Embedding Gravity as a Field Theory in a Flat Spacetime",

abstract = "We consider the approach to gravity in which four-dimensional curved spacetime is represented by a surface in a flat Minkowski space of higher dimension. After a short overview of the ideas and results of such an approach we concentrate on the study of the so-called splitting gravity, a form of this description in which constant value surface of a set of scalar fields in the ambient flat space-time defines the embedded surface. We construct a form of action which is invariant w.r.t. all symmetries of this theory. We construct the canonical formalism for splitting gravity. The resulting theory turns out to be free of constraints. However, the Hamiltonian of this theory is an implicit function of canonical variables. Finally, we discuss the path integral quantization of such a theory.",

keywords = "isometric embedding, Regge-Teitelboim gravity, splitting gravity, embedding gravity, canonical formalism, field theory, Regge-teitelboim gravity, Field theory, Splitting gravity, Embedding gravity, Canonical formalism, Isometric embedding",

author = "Sergey Paston and Elizaveta Semenova and Anton Sheykin",

note = "Publisher Copyright: {\textcopyright} 2020 by the authors.",

year = "2020",

month = may,

day = "1",

doi = "10.3390/SYM12050722",

language = "English",

volume = "12",

journal = "Symmetry",

issn = "2073-8994",

publisher = "MDPI AG",

number = "5",

}

RIS

TY - JOUR

T1 - Canonical Description for Formulation of Embedding Gravity as a Field Theory in a Flat Spacetime

AU - Paston, Sergey

AU - Semenova, Elizaveta

AU - Sheykin, Anton

PY - 2020/5/1

Y1 - 2020/5/1

N2 - We consider the approach to gravity in which four-dimensional curved spacetime is represented by a surface in a flat Minkowski space of higher dimension. After a short overview of the ideas and results of such an approach we concentrate on the study of the so-called splitting gravity, a form of this description in which constant value surface of a set of scalar fields in the ambient flat space-time defines the embedded surface. We construct a form of action which is invariant w.r.t. all symmetries of this theory. We construct the canonical formalism for splitting gravity. The resulting theory turns out to be free of constraints. However, the Hamiltonian of this theory is an implicit function of canonical variables. Finally, we discuss the path integral quantization of such a theory.

AB - We consider the approach to gravity in which four-dimensional curved spacetime is represented by a surface in a flat Minkowski space of higher dimension. After a short overview of the ideas and results of such an approach we concentrate on the study of the so-called splitting gravity, a form of this description in which constant value surface of a set of scalar fields in the ambient flat space-time defines the embedded surface. We construct a form of action which is invariant w.r.t. all symmetries of this theory. We construct the canonical formalism for splitting gravity. The resulting theory turns out to be free of constraints. However, the Hamiltonian of this theory is an implicit function of canonical variables. Finally, we discuss the path integral quantization of such a theory.

KW - isometric embedding

KW - Regge-Teitelboim gravity

KW - splitting gravity

KW - embedding gravity

KW - canonical formalism

KW - field theory

KW - Regge-teitelboim gravity

KW - Field theory

KW - Splitting gravity

KW - Embedding gravity

KW - Canonical formalism

KW - Isometric embedding

UR - https://www.mendeley.com/catalogue/25d861fd-4d24-30f1-a94f-37f84da9cb40/

UR - http://www.scopus.com/inward/record.url?scp=85085356661&partnerID=8YFLogxK

U2 - 10.3390/SYM12050722

DO - 10.3390/SYM12050722

M3 - Article

VL - 12

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 5

M1 - 722

ER -

ID: 53627287