J D Barrow and T Clifton 2006 Class. Quantum Grav. 23 L1 doi:10.1088/0264-9381/23/1/L01
J D Barrow and T Clifton
Show affiliationsWe have found new anisotropic vacuum solutions for the scale-invariant gravity theories which generalize Einstein's general relativity to a theory derived from the Lagrangian R1+δ. These solutions are expanding universes of Kasner form with an initial spacetime singularity at t = 0 and exist for −1/2 < δ < 1/4 but possess different Kasner index relations to the classic Kasner solution of general relativity to which they reduce when δ = 0. These solutions are unperturbed by the introduction of non-comoving perfect-fluid matter motions if p < ρ on approach to the singularity and should not exhibit an infinite sequence of chaotic Mixmaster oscillations when δ > 0.
98.80.Jk Mathematical and relativistic aspects of cosmology
04.20.Fy Canonical formalism, Lagrangians, and variational principles
04.20.Dw Singularities and cosmic censorship
05.45.-a Nonlinear dynamics and nonlinear dynamical systems
04.20.Gz Spacetime topology, causal structure, spinor structure
83C75 Space-time singularities, cosmic censorship, etc.
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 1 (7 January 2006)
Received 21 September 2005, in final form 24 November 2005
Published 8 December 2005
J D Barrow and T Clifton 2006 Class. Quantum Grav. 23 L1
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