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Axionic cosmological constant
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We propose a novel, higher-derivative, Weyl-invariant and generally-covariant theory for the cosmological constant. This theory is a mimetic construction with gauge fields playing the role of dynamical variables. These fields compose the Chern-Simons current instead of the vector field used in the Henneaux and Teitelboim formulation of the unimodular gravity. The equations of motion exactly reproduce the traceless Einstein equations. We demonstrate that, reformulated in Weyl-invariant variables, this novel theory reduces to standard general relativity with the cosmological constant as a Lagrange multiplier. This Lagrange multiplier has an axion-like coupling.
Forward citations
Cited by 3 Pith papers
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Disformal Maps: Classification and Singular Dynamics
Disformal transformations are classified by a Cayley-Hamilton degree and Hawking-Ellis type, and the mimetic energy-momentum tensor's type follows from a polynomial map of the original tensor.
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Degenerate higher-order Maxwell-Einstein theories
A complete classification of quadratic degenerate Maxwell-Einstein theories is given, including a new theory that generalizes Horndeski's non-minimal coupling to gauge fields.
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How to make a Universe
A canonical formalism links changing constants of nature to matter production, and an absorbing Markov chain model suggests fixed, diffeomorphism-invariant laws are the absorbing state that preserves the matter gained.
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