514 research outputs found
Vanishing Cosmological Constant by Gravitino-Dressed Compactification of 11D Supergravity
We consider compactifications induced by the gravitino field of eleven
dimensional supergravity. Such compactifications are not trivial in the sense
that the gravitino profiles are not related to pure bosonic ones by means of a
supersymmetry transformation. The basic property of such backgrounds is that
they admit -torsion although they have vanishing Riemann tensor. Thus,
these backgrounds may be considered also as solutions of the teleparallel
formulation of supergravity. We construct two classes of solutions, one with
both antisymmetric three-form field, gravity and gravitino and one with only
gravity and gravitino. In these classes of solutions, the internal space is a
parallelized compact manifold, so that it does not inherit any cosmological
constant to the external spacetime. The latter turns out to be flat Minkowski
in the maximally symmetric case. The elimination of the cosmological constant
in the spontaneously compactified supergravity seems to be a generic property
based on the trading of the cosmological constant for parallelizing torsion.Comment: 17 pages, no figure
Corrections to Gravity due to a Sol Manifold Extra Dimensional Space
The corrections to the gravitational potential due to a Sol extra dimensional
compact manifold, denoted as , are studied. The total spacetime is of
the form . The range of the Sol corrections is investigated
and compared to the range of the corrections.Comment: 13 pages, 10 figures, published versio
Scalar potential from de Sitter brane in 5D and effective cosmological constant
We derive the scalar potential in zero mode effective action arising from a
de Sitter brane embedded in five dimensions with bulk cosmological constant
. The scalar potential for a scalar field canonically normalized is
given by the sum of exponential potentials. In the case of and
, we point out that the scalar potential has an unstable local
maximum at the origin and exponentially vanishes for large positive scalar
field. In the case of , the scalar potential has an unstable local
maximum at the origin and a stable local minimum, it is shown that the positive
cosmological constant in brane is reduced by negative potential energy of
scalar at minimum.Comment: 14 pages, 5 figures, add the section of cosmological implication
Penrose Limits of Orbifolds and Orientifolds
We study the Penrose limit of various AdS_p X S^q orbifolds. The limiting
spaces are waves with parallel rays and singular wave fronts. In particular, we
consider the orbifolds AdS_3 X S^3/\Gamma, AdS_5 X S^5/\Gamma and AdS_{4,7} X
S^{7,4}/\Gamma where \Gamma acts on the sphere and/or the AdS factor. In the
pp-wave limit, the wave fronts are the orbifolds C^2/\Gamma, C^4/\Gamma and R
XC^4/\Gamma, respectively. When desingularization is possible, we get
asymptotically locally pp-wave backgrounds (ALpp). The Penrose limit of
orientifolds are also discussed. In the AdS_5 X RP^5 case, the limiting
singularity can be resolved by an Eguchi-Hanson gravitational instanton. The
pp-wave limit of D3-branes near singularities in F-theory is also presented.
Finally, we give the embedding of D-dimensional pp-waves in flat M^{2,D} space.Comment: 20 pages, references adde
Comment on superluminality in general relativity
General relativity provides an appropriate framework for addressing the issue
of sub- or superluminality as an apparent effect. Even though a massless
particle travels on the light cone, its average velocity over a finite path
measured by different observers is not necessarily equal to the velocity of
light, as a consequence of the time dilation or contraction in gravitational
fields. This phenomenon occurs in either direction (increase or depletion)
irrespectively of the details and strength of the gravitational interaction.
Hence, it does not intrinsically guarantee superluminality, even when the
gravitational field is reinforced.Comment: 6 page
Classical and Quantum Bianchi Type III vacuum Horava - Lifshitz Cosmology
A diagonal Bianchi Type III space-time is treated, both at the classical and
quantum level, in the context of Horava - Lifshitz gravity. The system of the
classical equations of motion is reduced to one independent Abel's equation of
the first kind. Closed form solution are presented for various values of the
coupling constants appearing in the action. Due to the method used, solutions
of Euclidean, Lorentzian and neutral signature are attained. The solutions
corresponding to \lamda 1 are seen to develop curvature singularities as the
other constants approach their Einsteinian values, in contrast to those with
\lamda = 1 which tend to the known Einstein gravity solutions. At the quantum
level, the resulting Wheeler-DeWitt equation is explicitly solved for \lamda =
1, \sigma = 0 and \lamda = 1/3 . The ensuing wave-functions diverge in the
Einsteinian limit.Comment: LaTeX 2e source file, 17 pages, no figure
Dilaton-driven brane inflation in type IIB string theory
We consider the cosmological evolution of the three-brane in the background
of type IIB string theory. For two different backgrounds which give nontrivial
dilaton profile we have derived the Friedman-like equations. These give the
cosmological evolution which is similar to the one by matter density on the
universe brane. The effective density blows up as we move towards the
singularity showing the initial singularity problem. The analysis shows that
when there is axion field in the ambient space the recollapsing of the universe
occurs faster compared with the case without axion field.Comment: typos corrected, reference added, version to appear in Physical
Review
Braneworld inflation
We discuss various realizations of the four dimensional braneworld inflation
in warped geometries of string theory. In all models the inflaton field is
represented by a Dp probe brane scalar specifying its position in the warped
throat of the compactification manifold. We study existing inflationary throat
local geometries, and construct a new example. The inflationary brane is either
a D3- or a D5-brane of type IIB string theory. In the latter case the
inflationary brane is wrapping a two-cycle of the compactification manifold. We
discuss some phenomenological aspects of the model where slow-roll conditions
are under computational control.Comment: 31 pages + 6 figures, v2: published PRD versio
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