2016/12/18 by Ali H. Chamseddine, Viatcheslav Mukhanov
Physics and Astronomy · #gr-qc #astro-ph.CO #hep-th
paper · pdf · doi:10.1088/1475-7516/2017/03/009
published as JCAP 1703 (2017) no.03, 009 · 15 pages
arxiv created 2016/12/18 · arxiv updated 2017/04/18
We find a simple modification of the longitudinal mode in General Relativity which incorporates the idea of limiting curvature. In this case the singularities in contracting Friedmann and Kasner universes are avoided, and instead, the universe has a regular bounce which takes place during the time inversely proportional to the square root of the limiting curvature. Away from the bounce, corrections to General Relativity are negligible. In addition the non-singluar modification of General Relativity delivers for free a realistic candidate for Dark Matter.