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Inflation and Reheating in Induced Gravity · Around

2009

Inflation and Reheating in Induced Gravity

Cerioni, A., Finelli, F., Tronconi, A. et al.

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Inflation is studied in the context of induced gravity (IG) $\gamma \sigma^2 R$, where $R$ is the Ricci scalar, $\sigma$ a scalar field and $\gamma$ a dimensionless constant.

We study in detail cosmological perturbations in IG and examine both a Landau-Ginzburg (LG) and a Coleman-Weinberg (CW) potential toy models for small field and large field (chaotic) inflation and find that small field inflationary models in IG are constrained to $\gamma \lesssim 3 \times 10^{-3}$ by WMAP 5 yrs data.
Finally we describe the regime of coherent oscillations in induced gravity by an analytic approximation, showing how the homogeneous inflaton can decay in its short-scale fluctuations when it oscillates around a non-zero value $\sigma_0$.

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A. Cerioni, F. Finelli, A. Tronconi and G. Venturi, to appear (2009)

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For this scaling solution holds S n − 2 = 2 ( 1 + 6 γ ) n λ n ( 4 − n ) ( n − 2 ) 2 [ n + 2 − 6 1 + γ ⁡ ( n + 2 ) γ ⁡ ( n − 4 ) ] S^{n-2}=\frac{2(1+6\gamma)n}{\lambda_{n}(4-n)(n-2)^{2}}\left[n+2-6\frac{1+\gamma(n+2)}{\gamma(n-4)}\right]

Cited in the paper.

In a Mathieu-like equation such as Eq. ( 29

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2009

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