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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.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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