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General Relativity and Quantum Cosmology

arXiv:gr-qc/0509085 (gr-qc)
[Submitted on 21 Sep 2005]

Title:Exact cosmological solutions of scale-invariant gravity theories

Authors:John D. Barrow, T. Clifton
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Abstract: We have found new anisotropic vacuum solutions for the scale-invariant gravity theories which generalise Einstein's general relativity to a theory derived from the Lagrangian $R^{1+\delta}$. These solutions are expanding universes of Kasner form with an initial spacetime singularity at $t=0 $ and exist for $-1/2<\delta <1/4$ but possess different Kasner index relations to the classic Kasner solution of general relativity to which they reduce when $\delta =0$. These solutions are unperturbed by the introduction of non-comoving perfect-fluid matter motions if $p<\rho $ on approach to the singularity and should not exhibit an infinite sequence of chaotic Mixmaster oscillations when $\delta >0$.
Comments: 7 pages, 1 figure
Subjects: General Relativity and Quantum Cosmology (gr-qc); Astrophysics (astro-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:gr-qc/0509085
  (or arXiv:gr-qc/0509085v1 for this version)
  https://doi.org/10.48550/arXiv.gr-qc/0509085
Journal reference: Class.Quant.Grav. 23 (2006) L1
Related DOI: https://doi.org/10.1088/0264-9381/23/1/L01

Submission history

From: Timothy Clifton [view email]
[v1] Wed, 21 Sep 2005 12:20:33 UTC (46 KB)
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