In this paper homogeneous Bianchi type-I space-time with variable G and containing matter in the form of a perfect fluid assuming the cosmological term proportional to H2 (where H is Hubble Parameter). Initially the model has a point type singularity, gravitational constant G (t) is decreasing and cosmological constant is infinite at this time. When time increases, decrease. The model does not approach isotropy, if it is small. The model is quasi-isotropic for large value of it.
Sharply peaked quantum states are conjectured to be conducive to the notion of a quantumcorrected spacetime. For a flat-FLRW model with perfect fluid, a generalized ordering scheme is considered for the Hamiltonian, and we study the implication of different ordering choices on the observables. We demonstrate that the operator ordering ambiguity leaves no imprint in the case of sharply peaked states, leading to a consistent semiclassical picture for a quantum-corrected spacetime.
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