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In this paper, we present two new families of spatially homogeneous black hole solution for z = 4 Hořava–Lifshitz Gravity equations in (4 + 1) dimensions with general coupling constant λ and the especial case λ = 1 , considering β = - 1 / 3 . The three-dimensional horizons are considered to have Bianchi types II and III symmetries, and hence the horizons are modeled on two types of Thurston 3-geometries, namely the Nil geometry and H 2 × R . Being foliated by compact 3-manifolds, the horizons are neither spherical, hyperbolic, nor toroidal, and therefore are not of the previously studied topological black hole solutions in Hořava–Lifshitz gravity. Using the Hamiltonian formalism, we establish the conventional thermodynamics of the solutions defining the mass and entropy of the black hole solutions for several classes of solutions. It turned out that for both horizon geometries the area term in the entropy receives two non-logarithmic negative corrections proportional to Hořava–Lifshitz parameters. Also, we show that choosing some proper set of parameters the solutions can exhibit locally stable or unstable behavior. [ABSTRACT FROM AUTHOR]

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We construct black hole solutions to the leading order of string effective action in five dimensions with the source given by dilaton and magnetically charged antisymmetric gauge B-field. Presence of the considered B-field leads to the unusual asymptotic behavior of the solutions which are neither asymptotically flat nor asymptotically (A)dS. We consider the three-dimensional space part to correspond to the Bianchi classes and so the horizons of these topological black hole solutions are modeled by seven homogeneous Thurston's geometries of E 3 , S 3 , H 3 , H 2 × E 1 , S L 2 R ~ , nilgeometry, and solvegeometry. Calculating the quasi-local mass, temperature, entropy, dilaton charge, and magnetic potential, we show that the first law of black hole thermodynamics is satisfied by these quantities and the dilaton charge is not independent of mass and magnetic charge. Furthermore, for Bianchi type V, the T-dual black hole solution is obtained which carries no charge associated with B-field and the entropy turns to be invariant under the T-duality. [ABSTRACT FROM AUTHOR]

The interaction of two water soluble phthalocyanines, cobalt(II) 4,4′,4″,4‴-tetrasulfo-phthalocyanine (CoTsPc) and iron(II) 4,4′,4″,4‴-tetrasulfo-phthalocyanine (FeTsPc), and one water soluble porphyrin, tetra sodium mesotetrakis( p-sulfophenyl)porphyrin (TSPP), with calf thymus DNA has been studied by UV-Vis spectroscopy at five different temperatures (20, 25, 30, 35, and 40°C). The optical absorption spectra of these materials were analyzed to obtain binding constants and stoichiometries using SQUAD software. The results show that the best fitting corresponds to a 1: 1 complex model between a base pair of DNA and these materials. All of the studied porphyrin and phthalocyanines showed strong electrolyte effect, and increasing NaCl concentration induced self-aggregation of these materials. [ABSTRACT FROM AUTHOR]