775 research outputs found
Warped brane-world compactification with Gauss-Bonnet term
In the Randall-Sundrum (RS) brane-world model a singular delta-function
source is matched by the second derivative of the warp factor. So one should
take possible curvature corrections in the effective action of the RS models in
a Gauss-Bonnet (GB) form. We present a linearized treatment of gravity in the
RS brane-world with the Gauss-Bonnet modification to Einstein gravity. We give
explicit expressions for the Neumann propagator in arbitrary D dimensions and
show that a bulk GB term gives, along with a tower of Kaluza-Klein modes in the
bulk, a massless graviton on the brane, as in the standard RS model. Moreover,
a non-trivial GB coupling can allow a new branch of solutions with finite
Planck scale and no naked bulk singularity, which might be useful to avoid some
of the previously known ``no--go theorems'' for RS brane-world
compactifications.Comment: 23 pages, typos in Secs. 5 & 6 corrected, expanded/published version
(IJMPA
Reconstructing a model of quintessential inflation
We present an explicit cosmological model where inflation and dark energy
both could arise from the dynamics of the same scalar field. We present our
discussion in the framework where the inflaton field attains a nearly
constant velocity (where
is the e-folding time) during inflation. We show that the model
with and can easily satisfy inflationary constraints,
including the spectral index of scalar fluctuations (),
tensor-to-scalar ratio () and also the bound imposed on
during the nucleosynthesis epoch (). In our
construction, the scalar field potential always scales proportionally to the
square of the Hubble expansion rate. One may thereby account for the two vastly
different energy scales associated with the Hubble parameters at early and late
epochs. The inflaton energy could also produce an observationally significant
effective dark energy at a late epoch without violating local gravity tests.Comment: 18 pages, 7 figures; added refs, published versio
Warped compactification on curved manifolds
The characterization of a six- (or seven)-dimensional internal manifold with
metric as having positive, zero or negative curvature is expected to be an
important aspect of warped compactifications in supergravity. In this context,
Douglas and Kallosh recently pointed out that a compact internal space with
negative curvature could help to construct four-dimensional de Sitter solutions
only if the extra dimensions are strongly warped or there are large stringy
corrections. That is, the problem of finding 4-dimensional de Sitter solutions
is well posed, if all extra dimensions are physically compact, which is called
a no-go theorem. Here, we show that the above conclusion does not extend to a
general class of warped compactifications in classical supergravity that allow
a non-compact direction or cosmological solutions for which the internal space
is asymptotic to a cone over a product of compact Einstein spaces or spheres.
For clarity, we present classical solutions that compactify higher-dimensional
spacetime to produce a Robertson--Walker universe with de Sitter-type expansion
plus one extra non-compact direction. Such models are found to admit both an
effective four-dimensional Newton constant that remains finite and a
normalizable zero-mode graviton wavefunction. We also exhibit the possibility
of obtaining 4D de Sitter solutions by including the effect of fluxes (p-form
field strengths).Comment: 24 pages, 1 figure; v5 significant changes in the presentation,
published (journal) versio
Accelerating universes from compactification on a warped conifold
We find cosmological solution corresponding to compactification of 10d supergravity on a warped conifold that easily circumvents Gibbons's original "no-go" theorem, providing new perspectives for the study of supergravity or superstring theory in cosmological backgrounds. With stabilized volume moduli, the model can explain a physical universe undergoing an accelerated expansion in the 4d Einstein frame, for a sufficiently long time. The solution found in the limit that the warp factor dependent on the radial coordinate is extremized (giving a constant warping) is smooth and it supports a flat four-dimensional Friedmann-Robertson-Walker cosmology undergoing a period of accelerated expansion with slowly rolling or stabilized volume moduli
Black Holes, Entropy Bound and Causality Violation
The gravity/gauge theory duality has provided us a way of studying QCD at
short distances from straightforward calculations in classical general
relativity. Among numerous results obtained so far, one of the most striking is
the universality of the ratio of the shear viscosity to the entropy density.
For all gauge theories with Einstein gravity dual, this ratio is \eta/s=1/4\pi.
However, in general higher-curvature gravity theories, including two concrete
models under discussion - the Gauss-Bonnet gravity and the (Riemann)^2 gravity
- the ratio \eta/s can be smaller than 1/4\pi (thus violating the conjecture
bound), equal to 1/4\pi or even larger than 1/4\pi. As we probe spacetime at
shorter distances, there arises an internal inconsistency in the theory, such
as a violation of microcausality, which is correlated with a classical limit on
black hole entropy.Comment: 8 pages, no figures; Invited contribution to appear in the
Proceedings of the 75 Years since Solvay, Singapore, Nov 2008, (World
Scientific, Singapore, 2009
Gravitational trapping potential with arbitrary extra dimensions
We extend a recently discovered, non-singular 6 dimensional brane, solution
to D=4+n dimensions. As with the previous 6D solution the present solution
provides a gravitational trapping mechanism for fields of spin 0, 1/2, 1 and 2.
There is an important distinction between 2 extra dimensions and extra
dimensions that makes this more than a trivial extension. In contrast to
gravity in n >2 dimensions, gravity in n=2 dimensions is conformally flat. The
stress-energy tensor required by this solution has reasonable physically
properties, and for n=2 and n=3 can be made to asymptotically go to zero as one
moves away from the brane.Comment: 7 pages revtex. No figures. References added some discussions change
Accelerating universe from warped extra dimensions
Accelerating universe or the existence of a small and positive cosmological
constant is probably the most pressing obstacle as well as opportunity to
significantly improving the models of four-dimensional cosmology from
fundamental theories of gravity, including string theory. In seeking to resolve
this problem, one naturally wonders if the real world can somehow be
interpreted as an inflating de Sitter brane embedded in a higher-dimensional
spacetime described by warped geometry. In this scenario, the four-dimensional
cosmological constant may be uniquely determined in terms of two length scales:
one is a scale associated with the size of extra dimensions and the other is a
scale associated with the expansion rate of our universe. In some specific
cases, these two scales are complementary to each other. This result is
demonstrated here by presenting some explicit and completely non-singular de
Sitter space dS solutions of vacuum Einstein equations in five and ten
dimensions.Comment: 7 pages; extended (from journal) version, minor typos fixed, refs
adde
Effective Lagrangian from Higher Curvature Terms: Absence of vDVZ Discontinuity in AdS Space
We argue that the van Dam-Veltman-Zakharov discontinuity arising in the limit of the massive graviton through an explicit Pauli-Fierz mass term
could be absent in anti de Sitter space. This is possible if the graviton can
acquire mass spontaneously from the higher curvature terms or/and the massless
limit is attained faster than the cosmological constant . We discuss the effects of higher-curvature couplings and of an explicit
cosmological term () on stability of such continuity and of massive
excitations.Comment: 23 pages, Latex, the version to appear in Class. Quant. Gra
On compatibility of string effective action with an accelerating universe
In this paper, we fully investigate the cosmological effects of the moduli
dependent one-loop corrections to the gravitational couplings of the string
effective action to explain the cosmic acceleration problem in early (and/or
late) universe. These corrections comprise a Gauss-Bonnet (GB) invariant
multiplied by universal non-trivial functions of the common modulus
and the dilaton . The model exhibits several features of cosmological
interest, including the transition between deceleration and acceleration
phases. By considering some phenomenologically motivated ansatzs for one of the
scalars and/or the scale factor (of the universe), we also construct a number
of interesting inflationary potentials. In all examples under consideration, we
find that the model leads only to a standard inflation () when the
numerical coefficient associated with modulus-GB coupling is positive,
while the model can lead also to a non-standard inflation (), if
is negative. In the absence of (or trivial) coupling between the GB term and
the scalars, there is no crossing between the phases, while
this is possible with non-trivial GB couplings, even for constant dilaton phase
of the standard picture. Within our model, after a sufficient amount of e-folds
of expansion, the rolling of both fields and can be small. In
turn, any possible violation of equivalence principle or deviations from the
standard general relativity may be small enough to easily satisfy all
astrophysical and cosmological constraints.Comment: 30 pages, 8 figures; v2 significant changes in notations, appendix
and refs added; v3 significant revisions, refs added; v4 appendix extended,
new refs, published versio
Towards inflation and dark energy cosmologies from modified Gauss-Bonnet theory
We consider a physically viable cosmological model that has a field dependent
Gauss-Bonnet coupling in its effective action, in addition to a standard scalar
field potential. The presence of such terms in the four dimensional effective
action gives rise to several novel effects, such as a four dimensional flat
Friedmann-Robertson-Walker universe undergoing a cosmic inflation at early
epoch, as well as a cosmic acceleration at late times. The model predicts,
during inflation, spectra of both density perturbations and gravitational waves
that may fall well within the experimental bounds. Furthermore, this model
provides a mechanism for reheating of the early universe, which is similar to a
model with some friction terms added to the equation of motion of the scalar
field, which can imitate energy transfer from the scalar field to matterComment: 35 pages, 21 eps figs; section 6 expanded improving explanations,
refs added, final in JCA
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