文摘
Recently Odintsov and Oikonomou (Phys. Rev. D 92:024016, 2015b) proposed the origin of a Type \(\mathit{IV}\) singular bounce in a modified gravity and found an explicit form of \(F(R)\) which can generate this type of bouncing cosmological evolution. In this paper, we construct their model in string theory and show that interaction between branes is the main cause of \(F(R)\) bouncing cosmology. In our technique, \(N\) fundamental strings decay first to \(N\) \(M0\)-anti-\(M0\)-brane then, \(M0\)-branes link to each other, originate and form an \(M3\)-anti-\(M3\) system. Our universe is located on one of these \(M3\)-branes and interact with the universe on another \(M3\)-brane via some scalars. The branes in this system wrap around each other and form a compacted system. This process causes to a contraction of universes and produces a contraction branch in a \(F(R)\) bouncing model of cosmology. Also, the relevant actions of compacted \(M3\)-branes include higher order of derivatives which lead to communication relations in generalized uncertainty principle. On the other hand, branes and anti-branes absorb each other, the radius of compactification is reduced, some of scalars gain negative square masses and become tachyons. This system is unstable, broken and branes rebound to non-compact state during an expansion branch. With opening of branes, some other scalars achieve to tachyon phase and consequently, this epoch stops. This process may be repeated in different branches. In this theory, the Type \(\mathit{IV}\) singularity occurs at \(t = t_{s}\), which is the time of producing tachyons between two branches. It is observed that the derived model is in good agreement with recent Planck data (Ade et al. in arXiv:1502.02114 [astro-ph.CO], 2015 and in Astron. Astrophys. 571:A22, 2014) and obtain the bouncing point.