Charged thin-shell gravastars in noncommutative geometry

In this paper we construct a charged thin-shell gravastar model within the context of noncommutative geometry. To do so, we choose the interior of the nonsingular de Sitter spacetime with an exterior charged noncommutative solution by cut-and-paste technique and apply the generalized junction conditions. We then investigate the stability of a charged thin-shell gravastar under linear perturbations around the static equilibrium solutions as well as the thermodynamical stability of the charged gravastar. We find the stability regions, by choosing appropriate parameter values, located sufficiently close to the event horizon.     

Synthesis,Structure and Cytotoxicity of N,N and N,O-Coordinated RuII Complexes of 3-Aminobenzoate Schiff Bases against Triple-negative Breast Cancer

Half-sandwich Ru^II complexes, [(YZ)Ru^II(η⁶-arene)(X)]+, (YZ=chelating bidentate ligand, X=halide), with N,N and N,O coordination ( 1 – 9 ) show significant antiproliferative activity against the metastatic triple-negative breast carcinoma (MDA-MB-231). 3-aminobenzoic acid or its methyl ester is used in all the ligands while varying the aldehyde for N,N and N,O coordination. In the N,N coordinated complex the coordinated halide(X) is varied for enhancing stability in solution (X=Cl, I). Rapid aquation and halide exchange of the pyridine analogues, 2 and 3 , in solution are a major bane towards their antiproliferative activity. Presence of free −COOH group ( 1 and 4) make complexes hydrophilic and reduces toxicity. The imidazolyl 3-aminobenzoate based N,N coordinated 5 and 6 display better solution stability and efficient antiproliferative activity (IC₅₀ ca. 2.3–2.5 μM) compared to the pyridine based 2 and 3 (IC₅₀>100 μM) or the N,O coordinated complexes ( 7 – 9 ) (IC₅₀ ca. 7–10 μM). The iodido coordinated, 6 , is resistant towards aquation and halide exchange. The N,O coordinated 7 – 9 underwent instantaneous aquation at pH 7.4 generating monoaquated complexes stable for at least 6 h. Complexes 5 and 6 , bind to 9-ethylguanine (9-EtG) showing propensity to interact with DNA bases. The complexes may kill via apoptosis as displayed from the study of 8 . The change in coordination mode and the aldehyde affected the solution stability, antiproliferative activity and mechanistic pathways. The N,N coordinated ( 5 and 6 ) exhibit arrest in the G2/M phase while the N,O coordinated 8 showed arrest in the G0/G1 phase.     

Stability of Non-asymptotically Flat Thin-Shell Wormholes in Generalized Dilaton-Axion Gravity

We construct a new type of thin-shell wormhole for non-asymptotically flat charged black holes in generalized dilaton-axion gravity inspired by low-energy string theory using cut-and-paste technique. We have shown that this thin shell wormhole is stable. The most striking feature of our model is that the total amount of exotic matter needed to support the wormhole can be reduced as desired with the suitable choice of the value of a parameter. Various other aspects of thin-shell wormhole are also analyzed.     

Sequential Continuity of Functions in Constructive Analysis

It is shown that in any model of constructive mathematics in which a certain omniscience principle is false, for strongly extensional functions on an interval the distinction between sequentially continuous and regulated disappears. It follows, without the use of Markov's Principle, that any recursive function of bounded variation on a bounded closed interval is recursively sequentially continuous.     

Singularity Free Stars in (2+1) Dimensions

We present some new types of non-singular model for anisotropic stars with constant Λ and variable Λ based on the Krori and Barua (KB) metric in (2+1) dimensions. The solutions obtained here satisfy all the regularity conditions and its simple analytical form helps us to study the various physical properties of the configuration.     

Stability of cyclic (H2O)n clusters within molecular solids: Role of aromaticity

Cyclic water clusters (H₂O)_n (n = 3–12) trapped inside organic/inorganic hosts do not correspond to the global energy minimal structures. Their closed loop connections through the H‐bonds, although weakly interacting, result in diamagnetic ring currents leading to what we term “H‐bonded aromaticity.” Such H‐bonded aromaticity in supramolecular structures generalizes the formation of such stable (H₂O)_n molecules confined within various host systems. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006