We elaborate on the proposal of [Phys. Rev. Lett. 123, 131302 (2019).PRLTAO0031-900710.1103/PhysRevLett.123.131302], about the possibility of hiding the cosmological constant in the complicated topology that one expects to exist at the Planck scale. We build a differential equation ruling the time evolution of ⟨K⟩, the spatial average of the expansion scalar. Supposing that the solution ⟨K⟩=0 exists despite the presence of a large cosmological constant Λ, we show that such a solution seems to be unstable.
Does the cosmological constant stay hidden?
Piattella O
2020-01-01
Abstract
We elaborate on the proposal of [Phys. Rev. Lett. 123, 131302 (2019).PRLTAO0031-900710.1103/PhysRevLett.123.131302], about the possibility of hiding the cosmological constant in the complicated topology that one expects to exist at the Planck scale. We build a differential equation ruling the time evolution of ⟨K⟩, the spatial average of the expansion scalar. Supposing that the solution ⟨K⟩=0 exists despite the presence of a large cosmological constant Λ, we show that such a solution seems to be unstable.
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