A theory of thin shells with orbiting constituents

The self-gravitating, spherically symmetric thin shells built of orbiting particles are sstudied. Two new features are found. One is the minimal possible value for an angular momentum of particles, above which elleptic orbits become possible. The second is the coexistence of both the wormhole solutions and the elleptic or hyperbolic orbits for the same values of the parameters (but different initial conditions). Possible applications of these results to astrophysics and quantum black holes are briefly discussed.Comment: 22 pages, Latex, 10 eps figures. CERN preprint no. CERN-TH 2000-16

The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited

A differential-algebraic approach to studying the Lax type integrability of the generalized Riemann type hydrodynamic hierarchy is revisited, its new Lax type representation and Poisson structures constructed in exact form. The related bi-Hamiltonian integrability and compatible Poissonian structures of the generalized Riemann type hierarchy are also discussed.Comment: 18 page

L^2 torsion without the determinant class condition and extended L^2 cohomology

We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatorial and the analytic L^2 torsions which, unlike the work of the previous authors, requires no additional assumptions; in particular we do not impose the determinant class condition. The resulting torsions are elements of the determinant line of the extended L^2 cohomology. Under the determinant class assumption the L^2 torsions of this paper specialize to the invariants studied in our previous work. Applying a recent theorem of D. Burghelea, L. Friedlander and T. Kappeler we obtain a Cheeger - Muller type theorem stating the equality between the combinatorial and the analytic L^2 torsions.Comment: 39 page

Differential-Algebraic Integrability Analysis of the Generalized Riemann Type and Korteweg-de Vries Hydrodynamical Equations

A differential-algebraic approach to studying the Lax type integrability of the generalized Riemann type hydrodynamic equations at N = 3; 4 is devised. The approach is also applied to studying the Lax type integrability of the well known Korteweg-de Vries dynamical system.Comment: 11 page

Hadronic EDMs, the Weinberg Operator, and Light Gluinos

We re-examine questions concerning the contribution of the three-gluon Weinberg operator to the electric dipole moment of the neutron, and provide several QCD sum rule-based arguments that the result is smaller than - but nevertheless consistent with - estimates which invoke naive dimensional analysis. We also point out a regime of the MSSM parameter space with light gluinos for which this operator provides the dominant contribution to the neutron electric dipole moment due to enhancement via the dimension five color electric dipole moment of the gluino.Comment: 6 pages, RevTeX, 3 figures; v2: references added; v3: typos corrected, to appear in Phys. Rev.

Peculiarities of Legal Regulation of Shareholders Agreements (SHA) under Russian and Common Law

The article is devoted to one of the urgent problems of corporate law, namely to legal regulation of shareholders agreements under Russian and common law. This issue gains currency in the light of comparative law in connection with the necessity of protection of minority shareholders’ rights in Russian companies. The necessity of legal fi xation of the shareholders agreements (SHA) institute, in its turn, is conditioned by a number of reasons, namely: increase in number of transactions on merges and acquisitions (M&A), problems connected with the protection of the companies from illegal takeovers number of which has extremely increased in recent years and, certainly, by aspiration to attract foreign investments in the Russian economy by entry into transactions with foreign investors including creation of joint ventures (JV). Thus, the available negative tendency of avoiding Russian legislation and jurisdiction directly contravenes creation of the international fi nancial center in Moscow. For development of fi nancial sector it is necessary to increase attractiveness of Russian legislation and jurisdiction including expansion of SHA functionality (to the extent that it doesn’t entail violation of third parties interests). The article will be useful for students, professors of law and also for practicing lawyers

Heteroleptic Zn(II)–Pentaiodobenzoate Complexes: Structures and Features of Halogen–Halogen Non-Covalent Interactions in Solid State

Reactions between Zn(II) nitrate, pentaiodobenzoic acid (HPIBA) and different pyridines in dimethylformamide (DMF) result in the formation of the heteroleptic neutral complexes [Zn(3,5-MePy)2PIBA2] (1) and [Zn(DMF)3(NO3)PIBA] (2). Both compounds were isolated in pure form, as shown by the PXRD data. The features of specific non-covalent interactions involving halogen atoms (halogen bonding) were examined by means of DFT calculations (QTAIM analysis and the estimation of corresponding energies)