Initial value problem for second order scalar fluctuations in the Einstein static universe
Initial value problem for second order scalar fluctuations in the Einstein static universe
We consider fluctuations in a perfect irrotational fluid coupled to gravity in an Einstein static universe background. We show that the homogeneous linear perturbations of the scalar and metric fluctuations in the Einstein static universe must be present if the second order constraint equations are to be integrable. I.e., the …