10 citations · 22 across the 8 of their papers we have counts for
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Unimodular quantum cosmology in the connection representation: A minimal model
Shinji Yamashita
We present a quantization of unimodular gravity in the connection representation for a homogeneous, isotropic, and spatially flat cosmological model without matter. In this model,…
Canonical analysis of covariant unimodular gravity and an extension of the Kodama state
Shinji Yamashita
We carry out the canonical analysis of a covariant version of unimodular gravity in terms of the connection representation. We then proceed to quantize this theory by implementing…
Hamiltonian analysis of unimodular gravity and its quantization in the connection representation
Shinji Yamashita
We perform the Hamiltonian analysis of unimodular gravity in terms of the connection representation. The unimodular condition is imposed straightforwardly into the action with a La…
Generalized BF state in quantum gravity
Shinji Yamashita, Satoshi Yajima, Makoto Fukuda
The BF state is known as a simple wave function that satisfies three constraints in canonical quantum gravity without a cosmological constant. It is constructed from a product of t…