Abstract
We display a simple solution to the Penrose CCC scenario. For this solution we chose for the late stages of the previous aeon a FRW, \(\hbox {k}=0\), universe with both a cosmological constant and radiation (no mass) while for the early stages of the ‘present’ aeon we have again a FRW universe, \(\hbox {k}=0\), with the same cosmological constant and again with radiation but with mass not yet present. The Penrose conditions force the parameters describing the radiation of the former and present aeons to be equal and the transition metric in the overlap region turns out to be flat. We further study how different rest-mass zero fields transition between the different conformally related regions. These (test) fields appears to easily allow perturbations of the geometry within the CCC scenario.
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References
Penrose, R.: Cycles of time: an extraordinary new view of the universe. Bodley Head, London (2010). ISBN 978-0-224-08036-1
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Private conversations with K. P. Tod.
Acknowledgments
We would like to thank our colleagues Paul Tod and Pawel Nurowski for their help and insight. But above all we thank Roger Penrose for his patience in helping us go thru and understand the difficulties of this fascinating new view of cosmology. A particular thanks must go to the excellent and patient referee who found many errors and items in need for clarification and consequently made it a better paper.
