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• W2103268182 abstract "We discuss the cosmological evolution of the inflationary gravitational wave background in the Randall-Sundrum single-brane model. In braneworld cosmology, in which the three-dimensional spacelike hypersurface that we live in is embedded in five-dimensional anti--de-Sitter (${mathrm{AdS}}_{5}$) spacetime, the evolution of gravitational wave (GW) modes is affected by the nonstandard expansion of the universe and the excitation of the Kaluza-Klein modes. These are significant in the high-energy regime of the universe. We numerically evaluate these two effects by solving the evolution equation for GWs propagating through the ${mathrm{AdS}}_{5}$ spacetime. Using a plausible initial condition from inflation, we find that the excitation of Kaluza-Klein modes can be characterized by a simple scaling relation above the critical frequency ${f}_{mathrm{crit}}$ determined from the length scale of the fifth dimension $ensuremath{ell}$. The remarkable point is that this relation generally holds as long as the matter content of the universe is described by the perfect fluid with the equation of state $p=wensuremath{rho}$ for $0ensuremath{le}wensuremath{le}1$. The resultant scaling relation is translated into the energy spectrum of the inflationary gravitational wave background as ${ensuremath{Omega}}_{mathrm{GW}}ensuremath{propto}{f}^{(3wensuremath{-}1)/(3w+2)}$ for $f>{f}_{mathrm{crit}}$. This indicates that in the radiation dominant case ($w=1/3$), the two high-energy effects accidentally compensate each other and the spectrum becomes almost the same as the one predicted in the four-dimensional theory, i.e., ${ensuremath{Omega}}_{mathrm{GW}}ensuremath{propto}{f}^{0}$." @default.
• W2103268182 created "2016-06-24" @default.
• W2103268182 creator A5015929488 @default.
• W2103268182 date "2006-04-07" @default.
• W2103268182 modified "2023-10-03" @default.
• W2103268182 title "High-energy effects on the spectrum of the inflationary gravitational wave background in braneworld cosmology" @default.
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• W2103268182 doi "https://doi.org/10.1103/physrevd.73.084008" @default.
• W2103268182 hasPublicationYear "2006" @default.
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