General Relativity and Gravitation

, Volume 25, Issue 4, pp 399–407 | Cite as

The fragility and rigidity of cosmological theories

  • James E. Lidsey
Research Articles
Received:

Abstract

The concepts of fragility and rigidity in theories containing a minimally coupled, self-interacting scalar field are introduced and defined for an arbitrary space-time dimension,D, by using the field as the dynamical variable. It is proved that inflation is rigid and the case of an exponential self-interaction is studied. The fragility of higher-order, scalar-tensor and Kaluza-Klein gravity theories is investigated by using their conformal equivalence to general relativity plus a scalar field. Whilst most higher-order theories are rigid, the conditions for Kaluza-Klein theories to become fragile depend strongly onD.

Keywords

General Relativity Scalar Field Differential Geometry Dynamical Variable Gravity Theory 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • James E. Lidsey
    • 1
  1. 1.Theoretical Astronomy Unit, School of Mathematical SciencesQueen Mary and WestfieldLondonUK

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