283 research outputs found
From Type IIA Black Holes to T-dual Type IIB D-Instantons in N=2, D=4 Supergravity
We discuss the T-duality between the solutions of type IIA versus IIB
superstrings compactified on Calabi-Yau threefolds. Within the context of the
N=2, D=4 supergravity effective Lagrangian, the T-duality transformation is
equivalently described by the c-map, which relates the special Kahler moduli
space of the IIA N=2 vector multiplets to the quaternionic moduli space of the
N=2 hyper multiplets on the type IIB side (and vice versa). Hence the
T-duality, or c-map respectively, transforms the IIA black hole solutions,
originating from even dimensional IIA branes, of the special Kahler effective
action, into IIB D-instanton solutions of the IIB quaternionic sigma-model
action, where the D-instantons can be obtained by compactifying odd IIB
D-branes on the internal Calabi-Yau space. We construct via this mapping a
broad class of D-instanton solutions in four dimensions which are determinded
by a set of harmonic functions plus the underlying topological Calabi-Yau data.Comment: LaTeX, 37 pages. Some typos fixed. Final version, to appear in Nucl.
Phys.
Real-Time Substrate Feed Optimization of Anaerobic Co-Digestion Plants
In anaerobic co-digestion plants a mix of organic materials is converted to biogas using the anaerobic digestion process. These organic materials, called substrates, can be crops, sludge, manure, organic wastes and many more. They are fed on a daily basis and significantly affect the biogas production process. In this thesis dynamic real-time optimization of the substrate feed for anaerobic co-digestion plants is developed. In dynamic real-time optimization a dynamic simulation model is used to predict the future performance of the controlled plant. Therefore, a complex simulation model for biogas plants is developed, which uses the famous Anaerobic Digestion Model No. 1 (ADM1). With this model the future economics as well as stability can be calculated resulting in a multi-objective performance criterion. Using multi-objective nonlinear model predictive control (NMPC) the model predictions are used to find the optimal substrate feed for the biogas plant. Therefore, NMPC solves an optimization problem over a moving horizon and applies the optimal substrate feed to the plant for a short while before recalculating the new optimal solution. The multi-objective optimization problem is solved using state-of-the-art methods such as SMS-EMOA and SMS-EGO. The performance of the proposed approach is validated in a detailed simulation studyAlgorithms and the Foundations of Software technolog
Classical and Quantum Analysis of Repulsive Singularities in Four Dimensional Extended Supergravity
Non--minimal repulsive singularities (``repulsons'') in extended supergravity
theories are investigated. The short distance antigravity properties of the
repulsons are tested at the classical and the quantum level by a scalar
test--particle. Using a partial wave expansion it is shown that the particle
gets totally reflected at the origin. A high frequency incoming particle
undergoes a phase shift of . However, the phase shift for a
low--frequency particle depends upon the physical data of the repulson. The
curvature singularity at a finite distance turns out to be transparent
for the scalar test--particle and the coordinate singularity at the origin
serves as a repulsive barrier at which particles bounce off.Comment: 20 pages, 14 figure
Heuristic Models of Two-Fermion Relativistic Systems with Field-Type Interaction
We use the chain of simple heuristic expedients to obtain perturbative and
exactly solvable relativistic spectra for a family of two-fermionic bound
systems with Coulomb-like interaction. In the case of electromagnetic
interaction the spectrum coincides up to the second order in a coupling
constant with that following from the quantum electrodynamics. Discrepancy
occurs only for S-states which is the well-known difficulty in the bound-state
problem. The confinement interaction is considered too.
PACS number(s): 03.65.Pm, 03.65.Ge, 12.39.PnComment: 16 pages, LaTeX 2.0
AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms 1/R and R^4
We study multidimensional gravitational models with scalar curvature
nonlinearities of the type 1/R and R^4. It is assumed that the corresponding
higher dimensional spacetime manifolds undergo a spontaneous compactification
to manifolds with warped product structure. Special attention is paid to the
stability of the extra-dimensional factor spaces. It is shown that for certain
parameter regions the systems allow for a freezing stabilization of these
spaces. In particular, we find for the 1/R model that configurations with
stabilized extra dimensions do not provide a late-time acceleration (they are
AdS), whereas the solution branch which allows for accelerated expansion (the
dS branch) is incompatible with stabilized factor spaces. In the case of the
R^4 model, we obtain that the stability region in parameter space depends on
the total dimension D=dim(M) of the higher dimensional spacetime M. For D>8 the
stability region consists of a single (absolutely stable) sector which is
shielded from a conformal singularity (and an antigravity sector beyond it) by
a potential barrier of infinite height and width. This sector is smoothly
connected with the stability region of a curvature-linear model. For D<8 an
additional (metastable) sector exists which is separated from the conformal
singularity by a potential barrier of finite height and width so that systems
in this sector are prone to collapse into the conformal singularity. This
second sector is not smoothly connected with the first (absolutely stable) one.
Several limiting cases and the possibility for inflation are discussed for the
R^4 model.Comment: 28 pages, minor cosmetic improvements, Refs. added; to appear in
Class. Quantum Gra
Black Holes and Flop Transitions in M-Theory on Calabi-Yau Threefolds
We present fivedimensional extreme black hole solutions of M-theory
compactified on Calabi-Yau threefolds and study these solutions in the context
of flop transitions in the extended Kahler cone. In particular we consider a
specific model and present black hole solutions, breaking half of N=2
supersymmetry, in two regions of the extended Kahler cone, which are connected
by a flop transition. The conditions necessary to match both solutions at the
flop transition are analysed. Finally we also discuss the conditions to obtain
massless black holes at the flop transition.Comment: 19 pp, LaTe
A relativistic action-at-a-distance description of gravitational interactions?
It is shown that certain aspects of gravitation may be described using a
relativistic action-at-a-distance formulation. The equations of motion of the
model presented are invariant under Lorentz transformations and agree with the
equations of Einstein's theory of General Relativity, at the first
Post-Newtonian approximation, for any number of interacting point masses
Entropy of Black Holes in D=5, N=2 Supergravity and AdS Central Charges
We consider general black holes in D=5, N=2 supergravity coupled to vector
multiplets, and discuss the issue of microstate counting from various
viewpoints. The statistical entropy is computed for the near-extremal case
using the central charge of the factor appearing in the near-horizon
geometry. Furthermore, we explicitly construct the duality transformation
connecting electrically charged black holes to magnetically charged black
strings, under which the near horizon geometry becomes
. For the counting of microstates correctly
reproduces the Bekenstein-Hawking entropy, thus resolving the discrepancy
previously found for .Comment: 25 pages, Latex, no figures, references adde
- …