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- W3046223882 abstract "Based on the observation that the exterior space-times of Schwarzschild-type solutions allow two symmetric slicings, a static spherically symmetric one and a timelike homogeneous one, modifications of gravitational dynamics suggested by symmetry-reduced models of quantum cosmology can be used to derive corresponding modified spherically symmetric equations. Generally covariant theories are much more restricted in spherical symmetry compared with homogeneous slicings, given by $1+1$-dimensional dilaton models if they are local. As shown here, modifications used in loop quantum cosmology do not have a corresponding covariant spherically symmetric theory. Models of loop quantum cosmology therefore violate general covariance in the form of slicing independence. Only a generalized form of covariance with a non-Riemannian geometry could consistently describe space-time in models of loop quantum gravity." @default.
- W3046223882 created "2020-08-07" @default.
- W3046223882 creator A5072848771 @default.
- W3046223882 date "2020-08-10" @default.
- W3046223882 modified "2023-10-02" @default.
- W3046223882 title "No-go result for covariance in models of loop quantum gravity" @default.
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- W3046223882 doi "https://doi.org/10.1103/physrevd.102.046006" @default.
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