Abstract
We consider a cosmology with decaying metastable dark energy and assume that a decay process of this metastable dark energy is a quantum decay process. Such an assumption implies among others that the evolution of the Universe is irreversible and violates the time reversal symmetry. We show that if we replace the cosmological timetappearing in the equation describing the evolution of the Universe by the Hubble cosmological scale time, then we obtain time dependentΛ(t)in the form of the series of even powers of the Hubble parameterH:Λ(t)=Λ(H). Our special attention is focused on radioactive-like exponential form of the decay process of the dark energy and on the consequences of this type decay.
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