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• W4378214363 abstract "We investigate the possibility of reducing the number of degrees of freedom (d.o.f.) starting from generic metric theories of gravity by introducing multiple auxiliary constraints (ACs), under the restriction of retaining spatial covariance as a gauge symmetry. Arbitrary numbers of scalar-, vector- and tensor-type ACs are considered a priori, yet we find that no vector- and tensor-type constraints should be introduced, and that scalar-type ACs should be no more than four for the purpose of constructing minimally modified gravity (MMG) theories which propagate only two tensorial d.o.f., like general relativity (GR). Through a detailed Hamiltonian analysis, we exhaust all the possible classifications of ACs and find out the corresponding minimalizing and symmetrizing conditions for obtaining the MMG theories. In particular, no condition is required in the case of four ACs, hence in this case the theory can couple with matter consistently and naturally. To illustrate our formalism, we build a concrete model for this specific case by using the Cayley-Hamilton theorem and derive the dispersion relation of the gravitational waves, which is subject to constraints from the observations." @default.
• W4378214363 created "2023-05-26" @default.
• W4378214363 creator A5004976818 @default.
• W4378214363 creator A5015129255 @default.
• W4378214363 creator A5047518661 @default.
• W4378214363 creator A5065838437 @default.
• W4378214363 date "2023-05-25" @default.
• W4378214363 modified "2023-10-17" @default.
• W4378214363 title "Minimally modified gravity with auxiliary constraints formalism" @default.
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• W4378214363 doi "https://doi.org/10.1103/physrevd.107.104052" @default.
• W4378214363 hasPublicationYear "2023" @default.

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