New exact solutions for inflationary cosmological perturbations

Abstract

From a general ansatz for the effective potential of cosmological perturbations we find new, exact solutions in single-scalar-field inflation: a three parameter family of exact inflationary solutions that encompasses all exact solutions that have been known previously (power-law inflation, Easther's model, and a generalised version of Starobinsky's solution). The main feature of this new family is that the spectral indices are scale dependent.

12 pages, 5 figures, introduction improved, references added, accepted for publication in Phys. Lett. B

References in corpus (3)

• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• The precision of slow-roll predictions for the CMBR anisotropies
• Inflaton potential reconstruction without slow-roll

Cited by in corpus (16)

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• Higher order corrections to primordial spectra from cosmological inflation
• Birefringent Gravitational Waves and the Consistency Check of Inflation
• The Spectrum of Density Perturbations produced during Inflation to Leading Order in a General Slow-Roll Approximation
• Inflationary spectra in generalized gravity: Unified forms
• A crucial ingredient of inflation
• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• The Tachyon Inflationary Models with Exact Mode Functions
• Reconstructing warm inflation
• Early Universe with modified scalar-tensor theory of gravity
• Reconstructing G-inflation: From the attractors $n_S(N)$ and $r(N)$
• Reconstructing k-essence: Unifying the attractor $n_S(N)$ and the swampland criteria
• Small field models with gravitational wave signature supported by CMB data
• Approach to exact solutions of cosmological perturbations: Tachyon field inflation
• Logarithmic divergences in the $k$-inflationary power spectra computed through the uniform approximation
• Reconstruction and exact solutions for cosmological perturbations from a generalized gravity theory