2018/04/09 by Aleksander Stachowski, Marek Szydlowski, Marek Szydłowski +1
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Age of the universe #Cosmology #Cosmology and Gravitation Theories #Dark energy #Dark fluid #Hubble's law #Metastability #Metric expansion of space #Noncommutative and Quantum Gravity Theories #Quantum #Scale factor (cosmology) #Universe #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1155/2018/7080232
published as Advances in High Energy Physics 2018, 7080232 (2018) · RevTeX 4-1, 18 pages, 5 figures
arxiv created 2018/04/09 · openalex created_date 2018/04/13 · openalex publication_date 2018/08/19 · arxiv updated 2019/09/27 · openalex updated_date 2026/08/05
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 time<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:math>appearing in the equation describing the evolution of the Universe by the Hubble cosmological scale time, then we obtain time dependent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>in the form of the series of even powers of the Hubble parameter<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mi>H</mml:mi></mml:mrow></mml:math>:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>H</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>. 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.