24 research outputs found
Particle Creation and Excited-de Sitter Modes
Recently, in Ref.\cite{moh1}, we introduced exited-de Sitter modes to study
the power spectrum which was finite in Krein space quantization and the
trans-Plankian corrections due to the exited modes were non-linear. It was
shown that the de Sitter limit of corrections reduces to what obtained via the
several previous conventional methods, moreover, with such modes the space-time
symmetry becomes manifest. In this paper, inspired by Krein method and using
exited-de Sitter modes as the fundamental initial states during the inflation,
we calculate particle creation in the spatially flat Robertson-Walker
space-time. It is shown that in de Sitter and Minkowski space-time in the far
past time limit, our results coincides to the standard results.Comment: 8 page
Evolution of Bulk Scale Factor in Warped Space-time
In this work the role of extra dimensions in the accelerated universe through
the scenario of higher-dimensional Friedmann-Robertson-Walker (FRW) cosmology
has been studied. For this purpose, we first consider warped space-time in the
standard flat brane scenario as the modified form of Robertson-Walker (RW)
metric in five-dimension (5D) space-time and then the variation of the bulk
scale factor (warp factor), with respect to both space-like and time-like extra
dimensions is obtained. Finally, it is shown that both of two types of extra
dimensions are important in this scenario and also the bulk scale factor plays
two different roles.Comment: This paper has been withdrawn by the author due to text overlap with
arXiv:0710.3790 by other author
Spectrum of Gravitational Waves in Krein Space Quantization
The main goal of this paper is to derive the primordial power spectrum for
the scalar perturbations generated as a result of quantum fluctuations during
an inflationary pe- riod by an alternative approach of field quantization[1-3].
Formulas are derived for the gravitational waves, special cases of which
include power law inflation and inflation in the slow roll approximation, in
Krein space quantization.Comment: 6 pages, published in MPL
Scale-dependent power spectrum from initial excited-de Sitter modes
In this paper, we calculate corrections of scalar perturbations spectra
resulting from excited-de Sitter modes as the nontrivial initial states. To
obtain these modes, we consider the asymptotic expansion of the Hankel
functions up to the higher order of 1/k{\tau} . Actually the Planck and WMAP
data impose some constrains on the Hankel function index. These observational
constraints and back-reaction effects stimulate us to use excited-de Sitter
modes. Finally, we nominate these nontrivial general solutions as the
fundamental mode functions during inflation and we calculate the corrected form
of scale-dependent power spectrum with trans-Planckian corrections, and in de
Sitter space-time limit the results reduce to the scale-invariant power
spectrum.Comment: 16 pages, Title slightly modified, Back-reaction added,Some
references added, Published open access in JHE
Power Spectrum with Auxiliary Fields in de Sitter Space
We use the auxiliary fields and (excited-) de Sitter solutions to study the
standard power spectrum of primordial fluctuations of a scalar field in the
early universe. The auxiliary fields are the negative norm solutions of the
field equation and as it is shown, with a fixed boundary condition, utilizing
these states results in a finite power spectrum without any infinity. The power
spectrum is determined by the de Sitter solutions up to some corrections and
the space-time symmetry is not broken in this point of view. The modulation to
the power spectrum is of order , where is the
Hubble parameter and is the energy scale, e.g., Planck scale.Comment: 7 pages, Krein discussion and section 3 improved, To appear in
European Physical Journal