2020
DOI: 10.3390/sym12020240
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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, DFT) 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 conserve. After that we concentrate on the theories of gravity which appear as a result of various DFT applied to general relativity, namely the mimetic gravity and Regge-Teitelboim embedding theory. … Show more

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Cited by 16 publications
(20 citation statements)
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References 54 publications
(104 reference statements)
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“…This similarity between embedding gravity and mimetic gravity is due to that fact that in both theories the modification of theory occurs as a result of substitution of the expression for the metric, which contains derivatives of some new variables, into EH action. After such modification of the theory, which is a particular case of differential transformations of field variables, the extension of dynamics occurs in most cases [43].…”
Section: The Ideas and Results Of Embedding Gravitymentioning
confidence: 99%
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“…This similarity between embedding gravity and mimetic gravity is due to that fact that in both theories the modification of theory occurs as a result of substitution of the expression for the metric, which contains derivatives of some new variables, into EH action. After such modification of the theory, which is a particular case of differential transformations of field variables, the extension of dynamics occurs in most cases [43].…”
Section: The Ideas and Results Of Embedding Gravitymentioning
confidence: 99%
“…The simplest example is a brane (and, in particular, a string) action, for which R in ( 23) needs to be replaced by an arbitrary constant and L m needs to be excluded. It is worth mentioning that another modification of the original embedding approach also provides a way to alternative description of strings and branes, see [43].…”
Section: The Splitting Gravity: Regge-teitelboim Approach In the Formmentioning
confidence: 99%
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“…The action of such theory remains unchanged in terms of dependence on the old variables. As discussed in the works [15,26], such modification could lead to richer dynamics in comparison to the original theory. Namely, a new theory has all the solutions from the original one and also has some extra solutions, that may appear useful for the explanations of certain observable effects that are absent in the original theory.…”
Section: Theories With the Change Of Independent Gravitational Variabmentioning
confidence: 99%
“…This model appears as a result of the change of variables, which isolates the conformal mode of the metric. Since this change of variables involves differentiation (being a particular case of the differential field transformations in GR [16]), it leads to the extension of dynamics of the theory, and some additional degrees of freedom w.r.t. GR appear.…”
Section: Introductionmentioning
confidence: 99%