Null energy condition violation and classical stability in the Bianchi I metric

I. Ya. Aref’eva, N. V. Bulatov, L. V. Joukovskaya, and S. Yu. Vernov

Phys. Rev. D 80, 083532 – Published 29 October 2009

Abstract

The stability of isotropic cosmological solutions in the Bianchi I model is considered. We prove that the stability of isotropic solutions in the Bianchi I metric for a positive Hubble parameter follows from their stability in the Friedmann-Robertson-Walker metric. This result is applied to models inspired by string field theory, which violate the null energy condition. Examples of stable isotropic solutions are presented. We also consider the $k$ -essence model and analyze the stability of solutions of the form $Φ (t) = t$ .

Received 5 May 2009

DOI:https://doi.org/10.1103/PhysRevD.80.083532

Authors & Affiliations

I. Ya. Aref’eva^1,*, N. V. Bulatov^2,†, L. V. Joukovskaya^3,‡, and S. Yu. Vernov^4,§

¹Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina Street 8, 119991, Moscow, Russia
²Department of Quantum Statistics and Field Theory, Faculty of Physics, Moscow State University, Leninskie Gory 1, 119991, Moscow, Russia
³Centre for Theoretical Cosmology, DAMTP, CMS, University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, United Kingdom
⁴Skobeltsyn Institute of Nuclear Physics, Moscow State University, Leninskie Gory 1, 119991, Moscow, Russia

^*arefeva@mi.ras.ru
^†nick_bulatov@mail.ru
^‡l.joukovskaya@damtp.cam.ac.uk
^§svernov@theory.sinp.msu.ru

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Vol. 80, Iss. 8 — 15 October 2009

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Physical Review D

covering particles, fields, gravitation, and cosmology