NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2012, Vol.15, No.3, pp.253-263


Can the Scale Factor be Rippled?
S. L. Cherkas and V. L. Kalashnikov

We address an issue: would the cosmological scale factor be a locally oscillating quantity? This problem is examined in the framework of two classical 1+1-dimensional models: the first one is a string against a curved background, and the second one is an inhomogeneous Bianchi I model. For the string model, it is shown that there exist the gauge and the initial condition providing an oscillation of the scale factor against a slowly evolving background, which is not affected by such oscillation "at the mean". For the inhomogeneous Bianchi I model with the conformal time gauge, an initially homogeneous scale factor can become inhomogeneous and undergo nonlinear oscillations. As is shown these nonlinear oscillations can be treated as a nonlinear gauge wave.


Key words: nonlinear gauge wave, nonlinear oscillation, cosmological scale factor, quantum gravity

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