Cosmic anisotropic doomsday in Bianchi type I universes

Abstract

In this paper we study finite time future singularities in anisotropic Bianchi type I models. It is shown that there exist future singularities similar to Big Rip ones (which appear in the framework of phantom Friedmann-Robertson-Walker cosmologies). Specifically, in an ellipsoidal anisotropic scenario or in a fully anisotropic scenario, the three directional and average scale factors may diverge at a finite future time, together with energy densities and anisotropic pressures. We call these singularities "Anisotropic Big Rip Singularities". We show that there also exist Bianchi type I models filled with matter, where one or two directional scale factors may diverge. Another type of future anisotropic singularities is shown to be present in vacuum cosmologies, i.e. Kasner spacetimes. These singularities are induced by the shear scalar, which also blows up at a finite time. We call such a singularity "Vacuum Rip". In this case one directional scale factor blows up, while the other two and average scale factors tend to zero.

Past extendibility and initial singularity in Friedmann-Lemaître-Robertson-Walker and Bianchi I spacetimes

“…In ref. [43], the future singularity at a finite comoving time in Bianchi type I spacetime is studied. There, the singularity where at least one of the scale factors diverges is intensively considered, but the situations such that another scale factor vanishes, which we deal with in this paper, are also included.…”

Past extendibility and initial singularity in Friedmann-Lemaître-Robertson-Walker and Bianchi I spacetimes

“…In Ref. [41], the future singularity at a finite comoving time in Bianchi type I spacetime is studied. There, the singularity where at least one of the scale factors diverges is intensively considered, but the situations such that another scale factor vanishes, which we deal with in this paper, are also included.…”