Isotropization of non-diagonal Bianchi I spacetimes with collisionless matter at late times assuming small data

摘要: Assuming that the spacetime is close to isotropic in sense shear parameter small and maximal velocity of particles bounded, we have been able show for non-diagonal Bianchi I-symmetric spacetimes with collisionless matter, asymptotic behaviour at late times special case dust. We also all Kasner exponents converge an expression induced metric has obtained. The key was a bootstrap argument.The sign conventions [18] are used. In particular, use signature − + geometrized units, i.e. gravitational constant G speed light c set equal 1. Also Einstein summation convention repeated indices be summed over Latin run from 1 3. C will arbitrary denote strictly positive constant. They both may appear several different equations or inequalities without being same A dot above letter derivative respect cosmological (Gaussian) time t.