Vacuum Energy and the Universe in Special Relativity
Abstract
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.
 Publication:

Soviet Journal of Experimental and Theoretical Physics Letters
 Pub Date:
 June 2003
 DOI:
 10.1134/1.1604411
 arXiv:
 arXiv:grqc/0304103
 Bibcode:
 2003JETPL..77..639V
 Keywords:

 General Relativity and Quantum Cosmology;
 Condensed Matter;
 High Energy Physics  Phenomenology
 EPrint:
 LaTeX file, 7 pages, no figures, to appear in JETP Letters, reference is added