Accelerating universes from compactification on a warped conifold

We find a cosmological solution corresponding to the compactification of 10D supergravity on a warped conifold that easily circumvents the "no-go" theorem given for a warped or flux compactification, providing new perspectives for the study of supergravity or superstring theory in cosmological backgrounds. With fixed volume moduli of the internal space, 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 y 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.     

Buchdahl limit for <Emphasis Type="Italic">d</Emphasis>-dimensional spherical solutions with a cosmological constant

We investigate the conditions for which a d-dimensional perfect fluid solution is in hydrostatic equilibrium with a cosmological constant. We find a generalization of Buchdahl inequality and obtain an upper bound for the degree of compactification. Using the Tolman–Oppenheimer–Volkoff equation to get a lower bound for the degree of compactification we analyse the regions where the solution is in hydrostatic equilibrium. We obtain the inner metric solution and the pressure for the constant fluid density model.     

Cosmological compactification in Kaluza-Klein model and time-dependent cosmological term

Einstein's equations for the generalized (4+D)-dimensional Robertson-Walker model are solved taking the conformally invariant action for the matter field. Compactification of this model is discussed and the compactification time/compactification mass scale for different values ofD is calculated. The resulting 4-dimensional action for gravity is obtained. It is found that a time-dependent cosmological constant is induced which is very large when the cosmic time is small and very small when the cosmic time is large.     

Nonsingular global string compactifications

We consider an exotic "compactification" of spacetime in which there are two infinite extra dimensions, using a global string instead of a domain wall. By having a negative cosmological constant we prove the existence of a nonsingular static solution using a dynamical systems argument. A nonsingular solution also exists in the absence of a cosmological constant with a time-dependent metric. We compare and contrast this solution with the Randall-Sundrum universe and the Cohen-Kaplan spacetime and consider the options of using such a model as a realistic resolution of the hierarchy problem.     

QUANTUM KALUZA-KLEIN COSMOLOGIES(I)

Recently Hartle and Hawking put forward the "ground state" proposal for the wave function of the universe, which incorporates the idea that the universe must come from nothing. We give two models of quantum Kaluza-xlein cosmologies in 5-dimensions. In the first model, there is an isotropic cosmological constant, which eventually leads to an isotropically expanding universe. For the second model, the cosmological constant is assumed to be anisotropic, which leads to the spontaneous compactification of the fifth dimension.     

Non-gravitating scalars and spacetime compactification

We discuss role of partially gravitating scalar fields, scalar fields whose energy–momentum tensors vanish for a subset of dimensions, in dynamical compactification of a given set of dimensions. We show that the resulting spacetime exhibits a factorizable geometry consisting of usual four-dimensional spacetime with full Poincaré invariance times a manifold of extra dimensions whose size and shape are determined by the scalar field dynamics. Depending on the strength of its coupling to the curvature scalar, the vacuum expectation value (VEV) of the scalar field may or may not vanish. When its VEV is zero the higher-dimensional spacetime is completely flat and there is no compactification effect at all. On the other hand, when its VEV is nonzero the extra dimensions get spontaneously compactified. The compactification process is such that a bulk cosmological constant is utilized for curving the extra dimensions.     

Constraints on the masses and couplings of heavy Majorana right-handed neutrinos

The masses and couplings of heavy unstable right-handed Majorana neutrinos can be constrained using existing and expected future results from both accelerator and astrophysics experiments. In particular we examine limits on rare decay modes of particles containing s, c, and b quarks as well as the τ lepton and interpret these in terms of a hypothetical massive neutrino. In addition, cosmological limits result from a consideration of the nucleosynthesis epoch in the early universe.     

Cosmic Entropy from the Bosonic String?

In Kaluza-Klein models, the compactification ofa high number of extra spatial dimensions generatesentropy in the observable four-dimensional universe. AKaluza–Klein cosmological model recently derived from the bosonic string theory in the limit ofan infinite number of extra dimensions is compared withthe available data from the observations of cosmicmicrowave background anisotropies.     

Efficient coannihilation process through strong Higgs self-coupling in LKP dark matter annihilation

We point out that the lightest Kaluza–Klein particle (LKP) dark matter in universal extra dimension (UED) models efficiently annihilates through the coannihilation process including the first KK Higgs bosons when the Higgs mass is slightly heavy as 200–230 GeV, which gives the large Higgs self-coupling. The large self-coupling naturally leads the mass degeneracy between the LKP and the first KK Higgs bosons and large annihilation cross sections of the KK Higgs bosons. These are essential for the enhancement of the annihilation of the LKP dark matter, which allows large compactification scale ∼1 TeV to be consistent with cosmological observations for the relic abundance of dark matter. We found that the thermal relic abundance of the LKP dark matter could be reconciled with the stringent constraint of electroweak precision measurements in the minimal UED model.     

Compactification over coset spaces with torsion and vanishing cosmological constant

We consider the compactification of ten-dimensional Einstein-Yang-Mills theories over non-symmetric, six-dimensional homogeneous coset spaces with torsion. We examine the Einstein-Yang-Mills equations of motion requiring vanishing cosmological constant at ten and four dimensions and we present examples of compactictifying solutions. It appears that the introduction of more than one radii in the coset space, when possible, may be mandatory for the existence of compactifying solutions.     

A possible role of gravitino condensates in superstring compactification

By restricting the energy to a region below the Planck mass and the string compactification scale, but above the scale of gauge interactions, it is shown that gravitino pair condensation may induce local supersymmetry breaking in the coupled supergravity-super-Yang-Mills effective theory originated from Green-Schwarz superstrings. The problem of cosmological constant generation is also considered and it is shown that it may actually vanish under certain assumptions on the fermion bilinears, without, however, the need of fine-tuning the parameters of the theory.     

Warped compactification to de Sitter space

We explore in detail the prospects of obtaining a four-dimensional de Sitter universe in classical supergravity models with warped and time-independent extra dimensions, presenting explicit cosmological solutions of the (4+n)$(4+n)$-dimensional Einstein equations with and without a bulk cosmological constant term. For the first time in the literature we show that there may exist a large class of warped supergravity models with a noncompact extra dimension which lead to a finite 4D Newton constant as well as a massless 4D graviton localized on an inflating four-dimensional FLRW universe. This result helps establish that the ‘no-go’ theorem forbidding acceleration in ‘standard’ compactification of string/M-theory on physically compact spaces should not apply to a general class of warped supergravity models that allows at least one noncompact direction. We present solutions for which the size of the radial dimension takes a constant value in the large volume limit, providing an explicit example of spontaneous compactification.     

Spontaneous Compactification of Extra Dimensions in Eleven-Dimensional Quantum Gravity

The reduction of the eleven-dimensional pure gravity theory to a field theory to a field theory in the four-dimensional Minkowski space-time by means of the spontaneous compactification of the extra dimensions is investigated. The contribution of the quantum fluctuations of the eleven-dimensional second rank symmetric tensor field to the curvatures of the space-time and the compactified space of the extra dimensions are calculated in the one-loop approximations. It is shown that there exist the values of the cosmological constant such that the resulting four-dimensional theory is self-consistent.     

Black holes and membranes in higher-dimensional theories with dilaton fields

We consider scale invariant theories which couple gravity to Maxwell fields and antisymmetric tensor fields with a dilaton field. We exhibit in a unified way solutions representing black hole, space-time membrane, vortex and cosmological solutions. Their physical properties depend sensitively on the coupling constant of the dilaton field, there being critical value separating qualitatively different types of behaviour, e.g. the temperature of a charged black hole in the extreme limit. It is also shown that compactification into the 4-dimensional Minkowski space in terms of a membrane solution is possible in 10-dimensional supergravity model.     

String-induced space compactification

Motivated by the possibility of a finite theory of gravity provided by superstrings in ten space-time dimensions, we analyze the problem of space compactification in the context of string dynamics. Such an analysis is hampered by conceptual and technical problems, stemming from the existence of the quantum string's own graviton mode on the one hand, and from Witten's observation of anomalies in a not specially chosen curves space-time on the other hand. Still, in the context of a classical local field presentation of string theory à la Nambu and Hosotani, supplemented by gravitational and Kalb-Ramond interactions, we are able to find solutions with space compactification. It is the antisymmetric tensor zero modes that dictate this compactification towards three space-time dimensions for ordinary strings or towards four or five space-time dimensions for superstrings.     

Supersymmetry restoration in the compactified O(16) ⊗ O (16)' heterotic string theory

We consider twisted compactifications of the O(16) ⊗ O(16)' heterotic string from ten to nine dimensions. We construct a model that interpolates between the O(16) ⊗ O(16)' model at large radii of the compact dimension, and the spontaneously broken E₈⊗E'₈ heterotic superstring at small radii. Further compactification leads to a four-dimensional model with an exponentially suppressed one-loop cosmological constant at small radii. The notion of duality between strings at small and large radii of the compact dimensions is clarified.     

Magnetohydrodynamics and Plasma Cosmology

We study the linear magnetohydrodynamic (MHD) equations, both in the Newtonian and the general-relativistic limit, as regards a viscous magnetized fluid of finite conductivity and discuss instability criteria. In addition, we explore the excitation of cosmological perturbations in anisotropic spacetimes, in the presence of an ambient magnetic field. Acoustic, electromagnetic (e/m) and fast-magnetosonic modes, propagating normal to the magnetic field, can be excited, resulting in several implications of cosmological significance.     

Gauged N = 4 supergravities in five dimensions and their magnetovac backgrounds

Gauged N = 4 supergravity theories with Yang-Mills symmetry SU(2) × U(1) are constructed in five dimensions. As in four dimensions, the presence of a nonsimple gauge group leads to the existence of three distinct theories, depending (in five dimensions) on the values of the SU(2) and U(1) coupling constants. Two of the theories are distinguished by the relative sign of the coupling constants; one of these has a vacuum state exhibiting the full N = 4 anti-de Sitter supersymmetry SU(2,2|2), while the other has a scalar potential with no critical points. The third theory, in which the SU(2) coupling constant is taken to be zero, has vanishing scalar potential. This leads to vacua with spontaneously broken supersymmetry and zero cosmological constant, admitting compactification to four dimensions. All three theories possess “magnetovac” ground states with residual supersymmetry and hence presumably stable. Several of these may be interpreted as four-dimensional cosmological models.     

Amplification of the scattering cross section due to non-trivial topology of the spacetime

In [1, 2] it was demonstrated that the total cross section of the scattering of two light particles (zero modes of the Kaluza-Klein tower) in the six-dimensional λφ ⁴ model differs significantly from the cross section of the same process in the conventional λφ ⁴ theory in four space-time dimensions even for the energies below the threshold of the first heavy particle. In the present article the analytical structure of the cross section in the same model with torus compactification for arbitrary radii of the two-dimensional torus is studied. Also, further amplification of the total cross section due to interaction of the scalar field with constant background Abelian gauge potential in the space of extra dimensions is shown.