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(70 citation statements)

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“…We suppose that the recent study of the Hamiltonian analysis of gravity [45] may give a certain direction in the investigation of quantum cosmology for this reason. We consider that supersymmetric quantum cosmology [46], which deals with an extended constraint system, may be an interesting target to study about reduction of phase space.…”

confidence: 99%

“…We suppose that the recent study of the Hamiltonian analysis of gravity [45] may give a certain direction in the investigation of quantum cosmology for this reason. We consider that supersymmetric quantum cosmology [46], which deals with an extended constraint system, may be an interesting target to study about reduction of phase space.…”

confidence: 99%

“…where V 0 is given by We observe that for a matter-dominated case, our model yields two disconnected branches. 8 However, for both of the branches, by assuming a 3 0 ψ 0 > 0, the time behavior of the scalar field depends not only on the sign of the c 1 β but also on the signs of c 1 and β. We have shown that for different values of n, dependent on the signs of c 1 and β, the scalar field can whether contracts or expands with the cosmic time.…”

confidence: 99%

“…Higher-dimensional models of the universe have been widely studied: Kaluza-Klein (KK) theories [4][5][6], tendimensional and eleven-dimensional supergravity [7][8][9] as well as string theories [10,11]. In particular, Kaluza considered a five-dimensional space-time, under the following key assumptions [6], to bring together electromagnetism with general relativity (GR): (i) there is no ordinary matter in the higher dimensional space-time, (ii) geometrical quantities similar to those defined in GR were introduced and (iii) the cylinder condition for the extra coordinate was assumed, which implies that the derivatives with respect to the extra dimension must vanish.…”

confidence: 99%

“…and the associated Levi-Civita connection. An important difference between our approach and numerous previous ones (see for instance Refs [ [14] - [20]]) is that we fix from the beginning the Lorentz gauge by univocally specifying a vierbein expressed as (time dependent) combinations of the 1-form dt and the three invariant forms on SU (2) : τ a (x) (which satisfy dτ a + ǫ a b c τ b ∧ τ c = 0). In terms of them the metric reads :…”

confidence: 99%