Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology

Details Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology

2011-12-29

arxiv.org/abs/1112.6391v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Discussion on a possible existence of a non-singularity theorem added. To appear in PRD

Scientific paper

We investigate the effects of the underlying quantum geometry in loop quantum cosmology on spacetime curvature invariants and the extendibility of geodesics in the Bianchi-I model for matter with a vanishing anisotropic stress. Using the effective Hamiltonian approach, we find that even though quantum geometric effects bound the energy density and expansion and shear scalars, divergences of curvature invariants are potentially possible under special conditions. However, as in the isotropic models in LQC, these do not necessarily imply a physical singularity. Analysis of geodesics and strength of such singular events, point towards a general resolution of all known types of strong singularities. We illustrate these results for the case of a perfect fluid with an arbitrary finite equation of state $w > -1$, and show that curvature invariants turn out to be bounded, leading to the absence of strong singularities. Unlike classical theory, geodesic evolution does not break down. We also discuss possible generalizations of sudden singularities which may arise at a non-vanishing volume, causing a divergence in curvature invariants. Such finite volume singularities are shown to be weak and harmless.

Affiliated with

Also associated with

No associations

Rating

Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-728728