5,143 research outputs found
Inflation from Extra Dimensions
The radial mode of n extra compact dimensions (the radion, b) can cause
inflation in theories where the fundamental gravity scale, M, is smaller than
the Planck scale M_P. For radion potentials V(b) with a simple polynomial form,
to get the observed density perturbations, the energy scale of V(b) must
greatly exceed M ~ 1 TeV: V(b)^{1/4} = M_v ~ 10^{-4} M_P. This gives a large
radion mass and reheat temperature ~ 10^9 GeV, thus avoiding the moduli
problem. Such a value of M_v can be consistent with the classical treatment if
the new dimensions started sufficiently small. A new possibility is that b
approaches its stable value from above during inflation. The same conclusions
about M_v may hold even if inflation is driven by matter fields rather than by
the radion.Comment: 4 pages, 4 figures, uses epsf.te
Inflation and Large Internal Dimensions
We consider some aspects of inflation in models with large internal
dimensions. If inflation occurs on a 3D wall after the stabilization of
internal dimensions in the models with low unification scale (M ~ 1 TeV), the
inflaton field must be extremely light. This problem may disappear In models
with intermediate (M ~10^{11} GeV) to high (M ~ 10^{16} GeV) unification scale.
However, in all of these cases the wall inflation does not provide a complete
solution to the horizon and flatness problems. To solve them, there must be a
stage of inflation in the bulk before the compactification of internal
dimensions.Comment: 4 pages, revtex, minor modification
Quintessence and phantom cosmology with non-minimal derivative coupling
We investigate cosmological scenarios with a non-minimal derivative coupling
between the scalar field and the curvature, examining both the quintessence and
the phantom cases in zero and constant potentials. In general, we find that the
universe transits from one de Sitter solution to another, determined by the
coupling parameter. Furthermore, according to the parameter choices and without
the need for matter, we can obtain a Big Bang, an expanding universe with no
beginning, a cosmological turnaround, an eternally contracting universe, a Big
Crunch, a Big Rip avoidance and a cosmological bounce. This variety of
behaviors reveals the capabilities of the present scenario.Comment: 8 pages, 8 figure
Phase transition in scalar -theory beyond the super daisy resummations
The temperature phase transition in scalar field theory with
spontaneous symmetry breaking is investigated in a partly resummed perturbative
approach. The second Legendre transform is used and the resulting gap equation
is considered in the extrema of the free energy functional. It is found that
the phase transition is of first order in the super daisy as well as in a
certain beyond super daisy resummations. No unwanted imaginary parts in the
free energy are found but a loss of the smallness of the effective expansion
parameter near the phase transition temperature is found in both cases. This
means an insufficiency of the resummations or a deficit of the perturbative
approach.Comment: 14 page
Creation of a Compact Topologically Nontrivial Inflationary Universe
If inflation can occur only at the energy density V much smaller than the
Planck density, which is the case for many inflationary models based on string
theory, then the probability of quantum creation of a closed or an infinitely
large open inflationary universe is exponentially suppressed for all known
choices of the wave function of the universe. Meanwhile under certain
conditions there is no exponential suppression for creation of topologically
nontrivial compact flat or open inflationary universes. This suggests, contrary
to the standard textbook lore, that compact flat or open universes with
nontrivial topology should be considered a rule rather than an exception.Comment: 9 pages 2 figures, new materials and references adde
Mutated Hilltop Inflation : A Natural Choice for Early Universe
We propose a model of inflation with a suitable potential for a single scalar
field which falls in the wide class of hilltop inflation. We derive the
analytical expressions for most of the physical quantities related to inflation
and show that all of them represent the true behavior as required from a model
of inflation. We further subject the results to observational verification by
formulating the theory of perturbations based on our model followed by an
estimation for the values of those observable parameters. Our model is found to
be in excellent agreement with observational data. Thus, the features related
to the model leads us to infer that this type of hilltop inflation may be a
natural choice for explaining the early universe.Comment: 22 pages, 7 figures, 2 tables. Matches published version in JCA
Topological Inflation in Supergravity
We investigate a topological inflation model in supergravity. By means of
numerical simulations, it is confirmed that topological inflation can take
place in supergravity. We also show that the condition for successful inflation
depends not only on the vacuum-expectation value (VEV) of inflaton field but
also on the form of its K\"ahler potential. In fact, it is found that the
required VEV of the inflaton can be as small as , where is the gravitational scale.Comment: 17 pages, 7 figures. To appear in Phys. Rev.
Susskind's Challenge to the Hartle-Hawking No-Boundary Proposal and Possible Resolutions
Given the observed cosmic acceleration, Leonard Susskind has presented the
following argument against the Hartle-Hawking no-boundary proposal for the
quantum state of the universe: It should most likely lead to a nearly empty
large de Sitter universe, rather than to early rapid inflation. Even if one
adds the condition of observers, they are most likely to form by quantum
fluctuations in de Sitter and therefore not see the structure that we observe.
Here I present my own amplified version of this argument and consider possible
resolutions, one of which seems to imply that inflation expands the universe to
be larger than 10^{10^{10^{122}}} Mpc.Comment: 24 pages, LaTeX, 8 references added and a distinction between Linde's
and Vilenkin's tunneling proposal
Fine tuning of the initial conditions for hybrid inflation
We study the evolution of regions of space with various initial field values
for a simple theory that can support hybrid inflation. Only very narrow domains
within the range of initial field values below the Planck scale lead to the
onset of inflation. This implies a severe fine tuning for the initial
configuration that will produce inflation.Comment: 11 pages, LaTeX, 8 figures in eps forma
Cosmological Measures without Volume Weighting
Many cosmologists (myself included) have advocated volume weighting for the
cosmological measure problem, weighting spatial hypersurfaces by their volume.
However, this often leads to the Boltzmann brain problem, that almost all
observations would be by momentary Boltzmann brains that arise very briefly as
quantum fluctuations in the late universe when it has expanded to a huge size,
so that our observations (too ordered for Boltzmann brains) would be highly
atypical and unlikely. Here it is suggested that volume weighting may be a
mistake. Volume averaging is advocated as an alternative. One consequence may
be a loss of the argument that eternal inflation gives a nonzero probability
that our universe now has infinite volume.Comment: 15 pages, LaTeX, added references for constant-H hypersurfaces and
also an idea for minimal-flux hypersurface
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