Interpretation of twisting type N vacuum solutions with cosmological constant

Twisting, type-N vacuum gravitational fields with symmetries.

Cosmological constant and vacuum energy

The general thermodynamic analysis of the quantum vacuum, which is based on our knowledge of the vacua in condensed-matter systems, is consistent with the Einstein earlier view on the cosmological constant. In the equilibrium Universes the value of the cosmological constant is regulated by matter. In the empty Universe, the vacuum energy is exactly zero, λ = 0. The huge contribution of the zero...

Cosmological Constant - the Weight of the Vacuum

Recent cosmological observations suggest the existence of a positive cosmological constant Λ with the magnitude Λ(G~/c3) ≈ 10−123. This review discusses several aspects of the cosmological constant both from the cosmological (sections 1–6) and field theoretical (sections 7–11) perspectives. The first section introduces the key issues related to cosmological constant and provides a brief histori...

Vacuum Energy and the Cosmological Constant

We discuss a numerical relation between the cosmological constant Λ [1] and the vacuum energy arising from the Casimir effect [2]. Many recent theories of the elementary particles invoke the existence of extra dimensions, beyond the familiar 4-dimensional space-time manifold. Often these extra dimensions are compact and have a finite range. In a particular model [3] the range R is of the order ...

Eleven spherically symmetric constant density solutions with cosmological constant

Einstein’s field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on as an exterior field. Another solution describes a decreasing pressure model with exterior Schwarzschild-de Sitter spacetime having decreasing group orbits a...