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2016

Hypersurface-deformation algebroids and effective space-time models

Bojowald, Martin, Brahma, Suddhasattwa, Buyukcam, Umut et al.

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In canonical gravity, covariance is implemented by brackets of hypersurface-deformation generators forming a Lie algebroid.

Lie algebroid morphisms therefore allow one to relate different versions of the brackets that correspond to the same space-time structure.
An application to examples of modified brackets found mainly in models of loop quantum gravity can in some cases map the space-time structure back to the classical Riemannian form after a field redefinition.
For one type of quantum corrections (holonomies), signature change appears to be a generic feature of effective space-time, and is shown here to be a new quantum space-time phenomenon which cannot be mapped to an equivalent classical structure.

Hypersurface-deformation algebroids and effective space-time models · Around

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