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SUMMARY:The high-frequency gravitational waves in exact inflationary model
 s with Gauss-Bonnet term
DTSTART;VALUE=DATE-TIME:20161011T140000Z
DTEND;VALUE=DATE-TIME:20161011T141500Z
DTSTAMP;VALUE=DATE-TIME:20260720T134932Z
UID:indico-contribution-481@cern.ch
DESCRIPTION:Speakers: ANDREY Morozov (Bauman Moscow State Technical Univer
 sity)\, Igor Fomin (Bauman Moscow State Technical University)\nThe theory 
 of the cosmological inflation successfully describes the accelerated expan
 sion of the universe evolution at early stages. Also\, inflation in the ea
 rly universe has become the standard model for the generation of cosmologi
 cal perturbations in the universe\, the seeds for large-scale structure an
 d temperature anisotropies of the cosmic microwave background. Quantum flu
 ctuations of the inflaton field give rise to an almost scale-invariant pow
 er spectrum of cosmological perturbations.\n\nString theory is often regar
 ded as the leading candidate for unifying gravity with the other fundament
 al forces and for a quantum theory of gravity. It is known that the effect
 ive supergravity action from superstrings induces correction terms of high
 er order in the curvature\, which may play a significant role in the early
  universe. The simplest such correction is the Gauss-Bonnet term in the lo
 w-energy effective action of the string theory. Such term provides the pos
 sibility of avoiding the initial singularity of the Universe.\n\nWe consid
 er  an  action with the Gauss-Bonnet term that is coupled to a scalar fiel
 d\n\\begin{equation}\nS_{GB}=\\int d^{4}x\\sqrt{-g}\\left[\\frac{1}{2}R-\\
 frac{1}{2}(\\partial^{\\mu}\\phi\\partial_{\\mu}\\phi)-V(\\phi)-\\frac{1}{
 2}\\xi(\\phi)R^{2}_{GB}\\right]\,\n\\end{equation}\nwhere $\\phi$ is an in
 flaton field with a potential $V(\\phi)$\, $R$ is the Ricci scalar curvatu
 re of the spacetime\, $R^{2}_{\\rm GB}\n= R_{\\mu\\nu\\rho\\sigma} R^{\\mu
 \\nu\\rho\\sigma} - 4 R_{\\mu\\nu} R^{\\mu\\nu} + R^2$ is the Gauss-Bonnet
  term\, and $8\\pi G=c=1$. The Gauss-Bonnet coupling $\\xi(\\phi)$ is requ
 ired to be a function of a scalar field in order to give nontrivial effect
 s on the background dynamics.\n\nThe method of exact solutions of the back
 ground dynamical equations in a spatially flat Friedmann-Robertson-Walker 
 universe is based on the connection between Hubble parameters for inflatio
 n with Gauss-Bonnet term and standard inflation is considereded in this wo
 rk.\n\nOn the basis of this connection we calculate the exact values of th
 e parameters of cosmological perturbations at the crossing of the Hubble r
 adius for the inflationary models with Gauss-Bonnet correction.\n\nThe det
 ection of relic gravitational waves can provide the main information about
  early universe and can be used to test the theoretical models. In this co
 ntext\, it is important to develop a new methods for the detection of grav
 itational waves. One of the promising method in the high-frequency part of
  the spectrum is based on the low-frequency optical resonance phenomenon i
 n the Fabry-Perot interferometers. The description of this method and comp
 arison with another methods are also presented.\n\nhttps://indico.particle
 .mephi.ru/event/4/contributions/481/
LOCATION:Milan Hotel Rossini
URL:https://indico.particle.mephi.ru/event/4/contributions/481/
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