Exponential decay for small nonlinear perturbations of expanding flat homogeneous cosmologies

Oscar A. Reula
Phys. Rev. D 60, 083507 – Published 15 September 1999
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Abstract

It is shown that during expanding phases of flat homogeneous cosmologies all nonlinear perturbations which are small enough are bounded by an exponentially decaying function, with the exponent being a (negative) fraction of the minimum value the Hubble function takes during the expanding period considered. When the cosmological constant is negative, i.e., in our conventions, when there is sustained inflation, it follows that nonlinear perturbations which are small enough decay exponentially; thus, a cosmic no-hair theorem is established. This result holds for a large class of perfect fluid equations of state, but notably not for very “stiff” fluids such as the pure radiation case.

  • Received 2 February 1999

DOI:https://doi.org/10.1103/PhysRevD.60.083507

©1999 American Physical Society

Authors & Affiliations

Oscar A. Reula*

  • FaMAF, Medina Allende y Haya de la Torre, Ciudad Universitaria, 5000 Córdoba, Argentina
  • Albert-Einstein-Institut, Max-Planck-Institut für Gravitationsphysik, Schlaatzweg 1, 14473 Potsdam, Germany

  • *Associated with CONICET. Email address: reula@fis.uncor.edu

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Issue

Vol. 60, Iss. 8 — 15 October 1999

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