Emergent Modified Gravity

Abstract

A complete canonical formulation of general covariance makes it possible to construct new modified theories of gravity that are not of higher-curvature form, as shown here in a spherically symmetric setting. The usual uniqueness theorems are evaded by using a crucial and novel ingredient, allowing for fundamental fields of gravity distinct from an emergent space-time metric that provides a geometrical structure to all solutions. As specific examples, there are new expansion-shear couplings in cosmological models, a form of modified Newtonian dynamics (MOND) can appear in a space-time covariant theory without introducing extra fields, and related effects help to make effective models of canonical quantum gravity fully consistent with general covariance.

arXiv comment21 pages, 2 figures

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Cited by in corpus (6)

• Inequivalence of mimetic gravity with models of loop quantum gravity
• A new type of large-scale signature change in emergent modified gravity
• Emergent modified gravity: Polarized Gowdy model on a torus
• Lessons for loop quantum gravity from emergent modified gravity
• Hypersurface deformations
• Singularities in loop quantum cosmology