Wormholes, naked singularities and universes of ghost radiation

Both the static and homogeneous metrics describing the spherically symmetric gravitational field of a crossflow of incoming and outgoing null dust streams are generalized for the case of the two-component ghost radiation. Static solutions represent either naked singularities or the wormholes recently found by Hayward. The critical value of the parameter separating the two possibilities is given. The wormhole is allowed to have positive mass. The homogeneous solutions are open universes.Comment: 5 pages, 10 figures, minor changes to match the published versio

Quark number scaling in fluid dynamics and hadronization via quarkyonic matter

NCQ scaling of elliptic flow is studied in a non-equilibrium hadronization and freeze-out model from ideal, deconfined and chirally symmetric Quark Gluon Plasma (QGP), to final non-interacting hadrons. In this transition the quarks gain constituent quark mass while the background Bag-field breaks up. The constituent quarks then recombine into simplified hadron states, while chemical, thermal and flow equilibrium break down. Then the resulting temperatures and flow velocities of baryons and mesons will be different. In a simplified model, we reproduce the constituent quark number scaling

Constraining Ho\v{r}ava-Lifshitz gravity by weak and strong gravitational lensing

We discuss gravitational lensing in the Kehagias-Sfetsos space-time emerging in the framework of Ho\v{r}ava-Lifshitz gravity. In weak lensing we show that there are three regimes, depending on the value of $\bar {\lambda}=1/\omega d^{2}$, where $\omega$ is the Ho\v{r}ava-Lifshitz parameter and $d$ characterizes the lensing geometry. When $\bar {\lambda}$ is close to zero, light deflection typically produces two images, as in Schwarzschild lensing. For very large $\bar {\lambda}$ the space-time approaches flatness, therefore there is only one undeflected image. In the intermediate range of $\bar {\lambda}$ only the upper focused image is produced due to the existence of a maximal deflection angle $\delta_{max}$, a feature inexistent in the Schwarzschild weak lensing. We also discuss the location of Einstein rings, and determine the range of the Ho\v{r}ava-Lifshitz parameter compatible with present day lensing observations. Finally, we analyze in the strong lensing regime the first two relativistic Einstein rings and determine the constraints on the parameter range to be imposed by forthcoming experiments.Comment: 11 pages, 6 figures, introductory part and reference list changed on referee request, results expanded. Published versio

An exponential lower bound for Individualization-Refinement algorithms for Graph Isomorphism

The individualization-refinement paradigm provides a strong toolbox for testing isomorphism of two graphs and indeed, the currently fastest implementations of isomorphism solvers all follow this approach. While these solvers are fast in practice, from a theoretical point of view, no general lower bounds concerning the worst case complexity of these tools are known. In fact, it is an open question whether individualization-refinement algorithms can achieve upper bounds on the running time similar to the more theoretical techniques based on a group theoretic approach. In this work we give a negative answer to this question and construct a family of graphs on which algorithms based on the individualization-refinement paradigm require exponential time. Contrary to a previous construction of Miyazaki, that only applies to a specific implementation within the individualization-refinement framework, our construction is immune to changing the cell selector, or adding various heuristic invariants to the algorithm. Furthermore, our graphs also provide exponential lower bounds in the case when the $k$-dimensional Weisfeiler-Leman algorithm is used to replace the standard color refinement operator and the arguments even work when the entire automorphism group of the inputs is initially provided to the algorithm.Comment: 21 page

A Török Köztársaság az átalakuló Közel-Keleten = The Republic of Turkey in the changing Middle East

A 2011–2012-ben zajlott, „arab tavasznak” nevezett események új korszak kezdetét jelezték a Közel-Keleten, mely a hidegháború vége óta, de különösen a 2003-as iraki háború következtében amúgy is mélyreható átalakulási folyamaton megy keresztül. Ennek során a térség három nem arab állama, Izrael, Irán és Törökország vált a régió hatalmi egyensúlyának meghatározó erőközpontjává, miközben az arab országok – amúgy sem homogén – csoportja a háttérbe szorult. A korábban mértékadó arab államok (Egyiptom, Irak, Szíria) különböző okok miatt elveszítették vonzerejüket a többiek számára, miközben Szaúd-Arábia sem vállalta a vezető szerepét. Az „arab tavasz” során egymástól egyre nyilvánvalóbban független nemzetállammá vált arab országok mind kevesebb kérdésben hajlandók közös álláspontot képviselni a nemzetközi fórumokon. Az átalakuló közel-keleti regionális rendben azonban az államok viszonylagos hatalmi egyensúlyában bekövetkezett változások miatt a térség helyzetét meghatározó szereplők száma megnövekedett, hiszen legalább Egyiptommal és Szaúd-Arábiával ismét mint politikai központtal kell számolni. A jelen tanulmány az e regionális rendben sokak szerint neooszmán hegemón törekvésekkel fellépő Törökország helyét és szerepét vizsgálja

Quantum chaos in one dimension?

In this work we investigate the inverse of the celebrated Bohigas-Giannoni-Schmit conjecture. Using two inversion methods we compute a one-dimensional potential whose lowest N eigenvalues obey random matrix statistics. Our numerical results indicate that in the asymptotic limit, N->infinity, the solution is nowhere differentiable and most probably nowhere continuous. Thus such a counterexample does not exist.Comment: 7 pages, 10 figures, minor correction, references extende

Transgenic fat-1 mouse as a model to study the pathophysiology of cardiovascular, neurological and psychiatric disorders

Polyunsaturated fatty acids (PUFAs) form an important constituent of all the cell membranes in the body. PUFAs such as arachidonic acid (AA), eicosapentaenoic acid (EPA) and docosahexaenoic acid (DHA) form precursors to both pro-inflammatory and anti-inflammatory compounds. Low-grade systemic inflammation occurs in clinical conditions such as insulin resistance, hypertension, type 2 diabetes mellitus, atherosclerosis, coronary heart disease, lupus, schizophrenia, Alzheimer's disease, and other dementias, cancer and non-alcoholic fatty liver disease (NAFLD) that are also characterized by an alteration in the metabolism of essential fatty acids in the form of excess production of pro-inflammatory eicosanoids and possibly, decreased synthesis and release of anti-inflammatory lipoxins, resolvins, protectins and maresins. We propose that low-grade systemic inflammation observed in these clinical conditions is due to an imbalance in the metabolism of essential fatty acids that is more in favour of pro-inflammatory molecules. In this context, transgenic fat-1 mouse that is designed to convert n-6 to n-3 fatty acids could form an ideal model to study the altered metabolism of essential fatty acids in the above mentioned conditions. It is envisaged that low-grade systemic inflammatory conditions are much less likely in the fat-1 mouse and/or these diseases will run a relatively mild course. Identifying the anti-inflammatory compounds from n-3 fatty acids that suppress low-grade systemic inflammatory conditions and understanding their mechanism(s) of action may lead to newer therapeutic strategies