Reconstructing the inflaton potential—an overview

@article{Lidsey1997ReconstructingTI,
  title={Reconstructing the inflaton potential—an overview},
  author={James E. Lidsey and Andrew R. Liddle and Edward W. Kolb and Edmund J. Copeland and Tiago Barreiro and Mark Abney},
  journal={Reviews of Modern Physics},
  year={1997},
  volume={69},
  pages={373-410}
}
The authors review the relation between the inflationary potential and the spectra of density waves (scalar perturbations) and gravitational waves (tensor perturbations) produced, with particular emphasis on the possibility of reconstructing the inflaton potential from observations. The spectra provide a potentially powerful test of the inflationary hypothesis; they are not independent but instead are linked by consistency relations reflecting their origin from a single inflationary potential… 

Tables from this paper

Cosmological implications of a minimal length hypothesis
One of the firm predictions of inflationary cosmology is the consistency relation between scalar and tensor spectra. It has been argued that such a relation — if experimentally confirmed — would
Predictions from an anisotropic inflationary era
This paper investigates the predictions of an inflationary phase starting from a homogeneous and anisotropic universe of the Bianchi I type. After discussing the evolution of the background
Inflationary cosmology, phase transitions and primordial power spectra
We present the results of research into inflationary cosmology. This consists firstly of a basic overview of the inflationary scenario, including the currently accepted model of inflation as being
Tachyon inflation: tests and comparison with single scalar field inflation
We compare the standard single scalar field inflationary predictions with those of an inflationary phase driven by a tachyon field. A slow-roll formalism is defined for tachyon inflation, and we
Intermediate inflation with non-canonical scalar field in the low anisotropy Universe
The behavior of a non-canonical scalar field within an anisotropic Bianchi type I, spatially homogeneous Universe in the framework of the intermediate inflation will be studied. It will be examined
Constraining inflation through joint observations of the primordial gravitational wave background
The standard cosmological model leaves many questions unanswered. An early period of accelerated expansion of the Universe, referred to as inflation, resolves these issues. It provides a means to
Testing an Inflation Model with Nonminimal Derivative Coupling in the Light of PLANCK 2015 Data
We study the dynamics of a generalized inflationary model in which both the scalar field and its derivatives are coupled with the gravity. We consider a general form of the nonminimal derivative
Consistency relation and non-Gaussianity in a Galileon inflation
We study a particular Galileon inflation in the light of Planck2015 observational data in order to constraint the model parameter space. We study the spectrum of the primordial modes of the density
Non-canonical scalar field in low anisotropy universe with intermediate inflation.
The behaviour of a non-canonical scalar field within an anisotropic Bianchi type I, spatially homogeneous, Universe in the framework of the intermediate inflation will be studied. It will be examined
...
...

References

SHOWING 1-10 OF 337 REFERENCES
Scalar field potential in inflationary models: Reconstruction and further constraints.
  • Adams, Freese
  • Mathematics
    Physical review. D, Particles and fields
  • 1995
TLDR
The change V of the potential and the change \ensuremath{\Delta}V of the inflation field during the portion of inflation when cosmological structure is produced must be comparable to the Planck mass.
Production of scalar and tensor perturbations in inflationary models.
  • Turner
  • Physics
    Physical review. D, Particles and fields
  • 1993
TLDR
The amplitudes of the perturbations and the power-law slopes of their spectra can be expressed in terms of the value of the potential 50 [ital e]-folds before the end of inflation, as well as the rate of change of its steepness.
New contribution to cosmological perturbations of some inflationary models.
TLDR
It is shown that there are inflationary models for which perturbations in the energy momentum tensor, which are of second order in the scalar field, cannot be neglected and these must not be influenced by this new type of perturbation, in order to lead to acceptable matter and CMB fluctuations.
Tensor perturbations in inflationary models as a probe of cosmology.
TLDR
Because tensor perturbations give rise to the anisotropy of the cosmic background radiation (CBR) solely through the Sachs-Wolfe effect, the transfer function is provided, and it is shown that it is unlikely that the stochastic background of gravity waves can be detected directly in the foreseeable future.
Reconstructing the inflaton potential: Perturbative reconstruction to second order.
TLDR
Here, complete expressions for the second-order contributions to the coefficients of the expansion are calculated by including for the first time corrections to the standard expression for the perturbation spectra, indicating the expected accuracy of the reconstruction.
Reconstructing the inflaton potential: In principle and in practice.
TLDR
A full reconstruction of the functional form of the potential will not be possible within the foreseeable future, but with a knowledge of the dark matter components, it should soon be possible to combine intermediate-scale data with measurements of large-scale cosmic microwave background anisotropies to yield useful information regarding the potential.
Dependence of inflationary reconstruction upon cosmological parameters.
  • Turner, White
  • Physics
    Physical review. D, Particles and fields
  • 1996
TLDR
Motivated by some observational evidence for a cosmological constant (large-scale structure, cluster-baryon fraction, measurements of the Hubble constant, and age of the Universe) the reconstruction equations and consistency relation to second order are derived.
INFLATON POTENTIAL RECONSTRUCTION AND GENERALIZED EQUATIONS OF STATE
We extend a previous analysis concerning cosmological fluids with generalized equations of state in order to study inflationary scenarios. In the framework of the slow-roll approximation we find the
COBE, gravitational waves, inflation and extended inflation
...
...