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Modifications of gravity via differential transformations of field variables. / Sheykin, Anton; Solovyev, Dmitry; Sukhanov, Vladimir; Paston, Sergey.

в: Symmetry, Том 12, № 2, 240, 01.02.2020, стр. 240.

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@article{7c070d7006614e868f49fe689971c0e2,
title = "Modifications of gravity via differential transformations of field variables",
abstract = "We discuss field theories appearing as a result of applying field transformations with derivatives (differential field transformations, DFTs) to a known theory. We begin with some simple examples of DFTs to see the basic properties of the procedure. In this process, the dynamics of the theory might either change or be conserved. After that, we concentrate on the theories of gravity which appear as a result of various DFTs applied to general relativity, namely the mimetic gravity and Regge-Teitelboim embedding theory. We review the main results related to the extension of dynamics in these theories, as well as the possibility to write down the action of a theory after DFTs as the action of the original theory before DFTs plus an additional term. Such a term usually contains some constraints with Lagrange multipliers and can be interpreted as an action of additional matter, which might be of use in cosmological applications, e.g., for the explanation of the effects of dark matter.",
keywords = "Dark matter, Disformal transformations, Embedding theory, Field theory, Hilbert-Palatini formulation, Isometric embedding, Lagrange multipliers, Mimetic gravity, Modified gravity, Regge-Teitelboim equations, embedding theory, GENERAL-RELATIVITY, TIME, FORMULATION, disformal transformations, field theory, modified gravity, mimetic gravity, isometric embedding, EINSTEIN, dark matter",
author = "Anton Sheykin and Dmitry Solovyev and Vladimir Sukhanov and Sergey Paston",
note = "Publisher Copyright: {\textcopyright} 2020 by the authors.",
year = "2020",
month = feb,
day = "1",
doi = "10.3390/sym12020240",
language = "English",
volume = "12",
pages = "240",
journal = "Symmetry",
issn = "2073-8994",
publisher = "MDPI AG",
number = "2",

}

RIS

TY - JOUR

T1 - Modifications of gravity via differential transformations of field variables

AU - Sheykin, Anton

AU - Solovyev, Dmitry

AU - Sukhanov, Vladimir

AU - Paston, Sergey

N1 - Publisher Copyright: © 2020 by the authors.

PY - 2020/2/1

Y1 - 2020/2/1

N2 - We discuss field theories appearing as a result of applying field transformations with derivatives (differential field transformations, DFTs) to a known theory. We begin with some simple examples of DFTs to see the basic properties of the procedure. In this process, the dynamics of the theory might either change or be conserved. After that, we concentrate on the theories of gravity which appear as a result of various DFTs applied to general relativity, namely the mimetic gravity and Regge-Teitelboim embedding theory. We review the main results related to the extension of dynamics in these theories, as well as the possibility to write down the action of a theory after DFTs as the action of the original theory before DFTs plus an additional term. Such a term usually contains some constraints with Lagrange multipliers and can be interpreted as an action of additional matter, which might be of use in cosmological applications, e.g., for the explanation of the effects of dark matter.

AB - We discuss field theories appearing as a result of applying field transformations with derivatives (differential field transformations, DFTs) to a known theory. We begin with some simple examples of DFTs to see the basic properties of the procedure. In this process, the dynamics of the theory might either change or be conserved. After that, we concentrate on the theories of gravity which appear as a result of various DFTs applied to general relativity, namely the mimetic gravity and Regge-Teitelboim embedding theory. We review the main results related to the extension of dynamics in these theories, as well as the possibility to write down the action of a theory after DFTs as the action of the original theory before DFTs plus an additional term. Such a term usually contains some constraints with Lagrange multipliers and can be interpreted as an action of additional matter, which might be of use in cosmological applications, e.g., for the explanation of the effects of dark matter.

KW - Dark matter

KW - Disformal transformations

KW - Embedding theory

KW - Field theory

KW - Hilbert-Palatini formulation

KW - Isometric embedding

KW - Lagrange multipliers

KW - Mimetic gravity

KW - Modified gravity

KW - Regge-Teitelboim equations

KW - embedding theory

KW - GENERAL-RELATIVITY

KW - TIME

KW - FORMULATION

KW - disformal transformations

KW - field theory

KW - modified gravity

KW - mimetic gravity

KW - isometric embedding

KW - EINSTEIN

KW - dark matter

UR - http://www.scopus.com/inward/record.url?scp=85080944270&partnerID=8YFLogxK

U2 - 10.3390/sym12020240

DO - 10.3390/sym12020240

M3 - Article

VL - 12

SP - 240

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 2

M1 - 240

ER -

ID: 51866904