Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-04-29
JETP Lett. 77 (2003) 639-641; Pisma Zh.Eksp.Teor.Fiz. 77 (2003) 769-771
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTeX file, 7 pages, no figures, to appear in JETP Letters, reference is added
Scientific paper
10.1134/1.1604411
The problem of cosmological constant and vacuum energy is usually thought of as the subject of general relativity. However, the vacuum energy is important for the Universe even in the absence of gravity, i.e. in the case when the Newton constant G is exactly zero, G=0. We discuss the response of the vacuum energy to the perturbations of the quantum vacuum in special relativity, and find that as in general relativity the vacuum energy density is on the order of the energy density of matter. In general relativity, the dependence of the vacuum energy on the equation of state of matter does not contain G, and thus is valid in the limit when G tends to zero. However, the result obtained for the vacuum energy in the world without gravity, i.e. when G=0 exactly, is different.
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