# CONFERENCE

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Program and talks schedule

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 Exterior Calculus on the Computer and the Application to the Quadratic Poincare Gauge Theory of GravityMuzaffer AdakPamukkale University Abstract: In the first half of my talk I will introduce some basics of the computer algebra system, REDUCE, and one package of its, EXCALC. The EXCALC package has the capability of doing exterior calculus symbolically [1]. As a simple application I will obtain the Reisner-Norstrom solution to the Einstein equation [2]. In the second part I will introduce the quadratic Poincare Gauge Theory of Gravity. The next step is to generalize the results of the paper by M Gurses et al [3]. This step is ongoing...[1] E Schrufer, http://www.reduce-algebra.com/docs/excalc.pdf[2] E Schrufer, F W Hehl and J D McCrea, Gen. Rel. Grav. 19 (1987) 197[3] P Baekler, M Gurses, F W Hehl and J D McCrea, Phys. Lett. A 128 (1988) 245. Higher dimensional thin-shell wormholes in Einstein-Yang-Mills-Gauss-Bonnet gravityS Habib MazharimousaviEastern Mediterranean University Abstract: We present thin-shell wormhole solutions in Einstein-Yang-Mills-Gauss-Bonnet (EYMGB) theory in higher dimensions $d\geq 5$. Exact black hole solutions are employed for this purpose where the radius of thin-shell lies outside the event horizon. For some reasons the cases $d=5$ and $d>5$ are treated separately. The surface energy-momentum of the thin-shell creates surface pressures to resist against collapse and rendering stable wormholes possible. We test the stability of the wormholes against spherical perturbations through a linear energy-pressure relation and plot stability regions. Apart from this restricted stability we investigate the possibility of normal (i.e. non-exotic) matter which satisfies the energy conditions. For negative values of the Gauss-Bonnet (GB) parameter we obtain such physical wormholes. Based on: S Habib Mazharimousavi, M Halilsoy and Z Amirabi, Class. Quantum Grav. 28 (2011) 025004. A Tribute to Brian Edgar: His Recent Work on Solution Generation TechniquesAyse Hümeyra BilgeKadir Has University Abstract: We review the contributions of late Brian Edgar to general relativity, with emphasis on his recent work on the solution generation technique with "complete tables". In this technique, the Newman-Penrose equations are arranged as an integrable maximally overdetermined system, called a "complete table" and an appropriate change of variable where the Weyl scalars play the role of independent variables leads to an exact solution. Relativity prospects and ventures at EMUM. HalilsoyEastern Mediterranean University Abstract: General introduction on Cyprus; memories with John A. Wheeler and Y. Nutku. Plane waves, their interaction and holography. Anisotropy of the Universe, my own way. Stability of Magnetic Universe and black p-braes. Particle Model from Black Holes, ... Covariant Canonical Structure of the Topologically Massive GravityCaner NazarogluMiddle East Technical University Abtract:We present the covariant symplectic structure of the Topologically massive gravity and the Yang-Mills-Chern-Simons theories along the line of Witten and Crnkovic. Based on: C. Nazaroglu, Y. Nutku and B. Tekin ( to appear ) Quantum singularities in (2+1) dimensional matter coupled black hole spacetimesOZLEM UNVERMiddle East Technical University Abstract: Quantum singularities considered in the 3D BTZ spacetime by Pitelli and Letelier (Phys. Rev.D77: 124030, 2008) is extended to charged BTZ and 3D Einstein-Maxwell-dilaton gravity spacetimes. We analyze the occurence of naked singularities in the Einstein-Maxwell extension of the BTZ spacetime both in linear and non-linear electrodynamics as well as in the Einstein-Maxwell-dilaton gravity spacetimes with the quantum test fields obeying the Klein-Gordon and Dirac equations. We show that with the inclusion of the matter fields; the conical geometry near r = 0 is removed and restricted classes of solutions are admitted for the Klein-Gordon and Dirac equations. Hence, the classical central singularity at r = 0 turns out to be quantum mechanically singular for quantum particles obeying Klein-Gordon equation but nonsingular for fermions obeying Dirac equation. Explicit calculations reveal that the occurrence of the timelike naked singularities in the considered spacetimes do not violate the cosmic censorship hypothesis as far as the Dirac fields are concerned. The role of horizons that clothes the singularity in the black hole cases is replaced by repulsive potential barrier against the propagation of Dirac fields.Based on: O. Unver and O. Gurtug, Phys. Rev. D82: 084016, (2010), [arXiv: 1004.2572 [gr-gc]]. Conserved Charges and Thermodynamics of Lifshitz BlackholesDeniz Olgu DeveciogluMiddle East Technical University Abstract: We extend the definition of conserved charges of quadratic curvature gravity theories that have arbitrary asymptotes possessing at least one killing isometry. This charge is background gauge invariant and reduces correctly to the already known limit when the background is a space of constant curvature. With this definition we compute, the energies of analytic Lifshitz black holes in higher dimensions. We then calculate temperature and entropy of these analytic Lifshitz blackholes and find that imposing first law of thermodynamics puts extra constraints on the allowed values of dynamical exponent, which is a characteristic of these spacetimes.Based on : D.O.Devecioglu, O.Sarioglu,Phys.Rev.D83:021503(2011), [arXiv:1103.1993 [hep-th]]. Axion inflation from string theoryHeeseung ZoeMiddle East Technical University Abstract: Existence of Hamiltonians for Point Interactions and Non-relativistic Lee Model on Riemannian ManifoldsÇaglar DoganIstanbul University Abstract: Existence of Hamiltonians for the non-relativistic and relativistic point interactions and for the non-relativistic Lee model on two and three dimensional Riemannian manifolds is proven. First, it is shown that the resolvents found for the models above belong to the holomorphic family of type A, as a result of the resolvent identity and Kato’s theorem that they satisfy. Then, it is proven that this holomorpic family of type A is also self-adjoint for complex values of the energy, making the family of resolvents a self-adjoint holomorphic family of type A. Quasi-coherent states for time dependent harmonic oscillatorNuri UNALAkdeniz University Abstract: In this study we construct the coherent states for harmonic oscillator with time dependent mass and frequency by solving the Schrdinger equation. We discuss the uncertainities in these states. They do not satisfy the minimum uncertainity condition. However, these states do not disperse. Cosmological evolution of vacuum and cosmic accelerationAli KayaBogaziçi University Abstract: We study the cosmological impact of a free massless quantum scalar field in a Friedmann-Robertson-Walker space-time. Assuming that the scalar is placed in its ground state, adiabatic regularization is used to obtain a simple but approximate expression for the stress-energy-momentum tensor in terms of the Hubble parameter. We then show that vacuum energy density grows from zero up to the fourth power of the Hubble parameter in about one Hubble time, vacuum fluctuations give positive acceleration and they can completely alter the early cosmic evolution of the universe dominated otherwise by cosmological constant, radiation or pressureless dust. No new "simple" perfect fluid black holesIbrahim SemizBogaziçi University Abstract: Considering the standard ''static" spherically symmetric ansatz $ds^{2} = -B(r) dt^{2} + A(r) dr^{2} + r^{2} d\Omega^{2}$ for Einstein's Equations with perfect fluid source, we ask how we can interpret solutions where $A(r)$ {\em and} $B(r)$ are not positive, as they must be for the static matter source interpretation to be valid.Noting that the requirement of Lorentzian signature implies $A(r) B(r) >0$, we find two possible interpretations:(i) The nonzero component of the source four-velocity does {\em not} have to be $u^{0}$. This provides a connection from the above ansatz to the Kantowski-Sachs (KS) spacetimes.(ii) Regions with negative $A(r)$ and $B(r)$ of "static" solutions in the literature must be interpreted as corresponding to tachyonic source.The combinations of source type and four-velocity direction result in four possible cases. One is the standard case, one is identical to the KS case, and two are tachyonic. The dynamic tachyonic case was anticipated in the literature, but the static tachyonic case seems to be new. We derive Oppenheimer-Volkoff-like equations for each case, and find some simple solutions. We conclude that new "simple" black hole solutions of the above form, supported by a perfect fluid, do not exist. AdS Waves as Exact Solutions to Quadratic GravityMetin GursesBilkent University Abstract: We give an exact solution of the quadratic gravity in D-dimensions. The solution is a plane fronted wave with a cosmological constant. The metric solves not only the full gravity field equations but also the ones which include the linearized equations of the recently found critcal gravity. A subset of the solutions change asymptotic structure of the anti de-Sitter space due to their logarithmic behaviour. Unitarity analysis of general Born-Infeld gravity theoriesTahsin Çagri SismanMiddle East Technical University Abstract: We develop techniques of analyzing the unitarity of general Born-Infeld (BI) gravity actions in D-dimensional spacetimes. Determinantal form of the action allows us to find a compact expression quadratic in the metric fluctuations around constant curvature backgrounds. This is highly nontrivial since for the BI actions, in principle, infinitely many terms in the curvature expansion should contribute to the quadratic action in the metric fluctuations around constant curvature backgrounds, which would render the unitarity analysis intractable. Moreover in even dimensions, unitarity of the theory depends only on finite number of terms built from the powers of the curvature tensor. We apply our techniques to some four-dimensional examples.Based on: I. Gullu, T. C. Sisman and B. Tekin, Phys. Rev. D 82, 124023 (2010). A Unitary and Stable Quantum Pais-Uhlenbeck OscillatorAli MostafazadehKoç University Abstract: We propose an alternative Hamiltonian formulation of classical Pais-Uhlenbeck Oscillator and show that its quantization gives a unitary and stable quantum system for the non-degenerate case. New Cubic Curvature Theories in D DimensionsBayram TekinMiddle East Technical University Abstract: We will construct all the unitary cubic curvature gravity theories in anti-de Sitter spaetimes. Along the way, we will discuss the recent critical gravity theory.Based on: I. Gullu, T.C. Sisman and B. Tekin, work to appear and S.Deser, H.Liu, H.Lu, C.N.Pope, T.C.Sisman and B.Tekin, arXiv:1101.4009 [hep-th]. All Bulk and Boundary Unitary Cubic Curvature Theories in Three DimensionsIbrahim GüllüMiddle East Technical University Abstract: We construct all the bulk and boundary unitary cubic curvature parity invariant gravity theories in three dimensions in (anti)-de Sitter spaces. For bulk unitarity, our construction is based on the principle that the free theory of the cubic curvature theory reduces to one of the three known unitary theories which are the cosmological Einstein-Hilbert theory, the quadratic theory of the scalar curvature or the new massive gravity (NMG). Bulk and boundary unitarity in NMG is in conflict; therefore, cubic theories that are unitary both in the bulk and on the boundary have free theories that reduce to the other two alternatives. We also study the unitarity of the Born-Infeld extensions of NMG to all orders in curvature. Based on : I. Gullu, T.C. Sisman and B. Tekin Phys.Rev.D83:024033(2011) Axi-Dilaton Fields Coupled to Born-Infeld ElectrodynamicsTekin DereliKoc University Abstract:We will give a generalization of Born-Infeld electrodynamics with axion and dilaton field couplings that are determined byelectric-magnetic duality and SL(2,R) symmetries. Static,spherically symmetric solutions in the Minkowski background will be discussed.(This is joint work with D.Burton and R.W.Tucker.) Sturm-Schrodinger equationsMiloslav ZnojilNuclear Physics Institute ASCR, CZECH REPUBLIC Abstract:The formulation of the theoretical background of the consistent treatment of the popular imaginary cubic interaction potential $V(x)=ix^3$ and its generalizations will be reviewed and extended to cover also the so called quantum toboggans (QT). For a broad class of QT Schr\"{o}dinger equations a change of variables will be then considered as a mapping of QT bound states to their non-tobogganic representations described by the Sturm-Schr\"{o}dinger equation in which the energy emerges multiplied by a weight function $W(x)$. A few illustrative examples will be discussed in detail.