Ke Yang, Yu-Xiao Liu, Yong-Qiang Wang
Recently, a novel idea about our expansion universe was proposed by T. Padmanabhan [arXive:1206.4916]. He suggested that the expansion of our universe can be thought of as emergence of space as the cosmic time progresses. The emergence is governed by the basic relation that the increase rate of Hubble volume is linearly determined by the difference between the number of degrees of freedom on the horizon surface and the one in the bulk. In this note, following this idea we generalize the basic relation to derive the Friedmann equations of a $(n+1)$-dimensional Friedmann-Robertson-Walker universe corresponding to the general relativity, the Gauss-Bonnet gravity, and the Lovelock gravity.
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http://arxiv.org/abs/1207.3515
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