Inequivalence of mimetic gravity with models of loop quantum gravity

Martin Bojowald, Erick I. Duque

Research output: Contribution to journalArticlepeer-review

Abstract

Certain versions of mimetic gravity have recently been claimed to present potential covariant theories of canonically modified spherically symmetric gravity, motivated by ingredients from loop quantum gravity. If such an equivalence were to hold, it would demonstrate general covariance of a large class of models considered in loop quantum gravity. However, the relationship with mimetic gravity as presented so far is incomplete because it has been proposed only in preferred space-time slicings of uniform scalar fields. Here, several independent arguments are used to show that neither an equivalence nor a covariance claim are correct for models of loop quantum gravity. The framework of emergent modified gravity is found to present a broad setting in which such questions can be analyzed efficiently. As an additional result, the discussion sheds light on the coexistence of different and mutually inequivalent approaches to an implementation of the gravitational dynamics within loop quantum gravity.

Original languageEnglish (US)
Article number084044
JournalPhysical Review D
Volume109
Issue number8
DOIs
StatePublished - Apr 15 2024

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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