On the initial value problem for second order scalar fluctuations in Einstein static

Details On the initial value problem for second order scalar fluctuations in Einstein static On the initial value problem for second order scalar fluctuations in Einstein static

2004-08-04

arxiv.org/abs/gr-qc/0408011v2

Phys.Rev. D71 (2005) 044011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures, changes made to the presentation throughout to emphasize the linear nature of the analysis and the treatm

Scientific paper

10.1103/PhysRevD.71.044011

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 'linearization stability' constraint forces the presence of these homogeneous modes. Since these linear homogeneous scalar modes are well known to be exponentially unstable, the tactic of neglecting these modes to create a long-lived, almost Einstein universe does not work, even if all higher order (L $>$ 1) modes are dynamically stable.

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