44 research outputs found

    Topological Black Holes of (n+1)-dimensional Einstein-Yang-Mills Gravity

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    We present the topological solutions of Einstein gravity in the presence of a non-Abelian Yang-Mills field. In (n+1n+1) dimensions, we consider the So(n(n−1)/2−1,1)So(n(n-1)/2-1,1) semisimple group as the Yang-Mills gauge group, and introduce the black hole solutions with hyperbolic horizon. We argue that the 4-dimensional solution is exactly the same as the 4-dimensional solution of Einstein-Maxwell gravity, while the higher-dimensional solutions are new. We investigate the properties of the higher-dimensional solutions and find that these solutions in 5 dimensions have the same properties as the topological 5-dimensional solution of Einstein-Maxwell (EM) theory although the metric function in 5 dimensions is different. But in 6 and higher dimensions, the topological solutions of EYM and EM gravities with non-negative mass have different properties. First, the singularity of EYM solution does not present a naked singularity and is spacelike, while the singularity of topological Reissner-Nordstrom solution is timelike. Second, there are no extreme 6 or higher-dimensional black holes in EYM gravity with non-negative mass, while these kinds of solutions exist in EM gravity. Furthermore, EYM theory has no static asymptotically de Sitter solution with non-negative mass, while EM gravity has.Comment: 14 pages, 2 figures, accepted by Mod. Phys. Lett.

    Spacetimes with Longitudinal and Angular Magnetic Fields in Third Order Lovelock Gravity

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    We obtain two new classes of magnetic brane solutions in third order Lovelock gravity. The first class of solutions yields an (n+1)(n+1)-dimensional spacetime with a longitudinal magnetic field generated by a static source. We generalize this class of solutions to the case of spinning magnetic branes with one or more rotation parameters. These solutions have no curvature singularity and no horizons, but have a conic geometry. For the spinning brane, when one or more rotation parameters are nonzero, the brane has a net electric charge which is proportional to the magnitude of the rotation parameters, while the static brane has no net electric charge. The second class of solutions yields a pacetime with an angular magnetic field. These solutions have no curvature singularity, no horizon, and no conical singularity. Although the second class of solutions may be made electrically charged by a boost transformation, the transformed solutions do not present new spacetimes. Finally, we use the counterterm method in third order Lovelock gravity and compute the conserved quantities of these spacetimes.Comment: 15 pages, no figur

    Counterterm Method in Lovelock Theory and Horizonless Solutions in Dimensionally Continued Gravity

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    In this paper we, first, generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of Lovelock gravity, by introducing the tensorial form of surface terms that make the action well-defined. We also introduce the boundary counterterm that removes the divergences of the action and the conserved quantities of the solutions of Lovelock gravity with flat boundary at constant tt and rr. Second, we obtain the metric of spacetimes generated by brane sources in dimensionally continued gravity through the use of Hamiltonian formalism, and show that these solutions have no curvature singularity and no horizons, but have conic singularity. We show that these asymptotically AdS spacetimes which contain two fundamental constants are complete. Finally we compute the conserved quantities of these solutions through the use of the counterterm method introduced in the first part of the paper.Comment: 15 pages, references added, typos correcte

    Towards Big data Governance in Cybersecurity

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    Big data refers to large complex structured or unstructured data sets. Big data technologies enable organisations to generate, collect, manage, analyse, and visualise big data sets, and provide insights to inform diagnosis, prediction, or other decision-making tasks. One of the critical concerns in handling big data is the adoption of appropriate big data governance frame- works to: 1) curate big data in a required manner to support quality data access for effective machine learning, and 2) ensure the framework regulates the storage and processing of the data from providers and users in a trustworthy way within the related regulatory frame- works (both legally and ethically). This paper proposes a framework of big data governance that guides organisations to make better data-informed business decisions within the related regularity framework, with close attention paid to data security, privacy and accessibility. In order to demonstrate this process, the work also presents an example implementation of the framework based on the case study of big data governance in cyber- security. This framework has the potential to guide the management of big data in different organisations for information sharing and cooperative decision-making

    Factors Affecting Extension and Development of Co-operative Culture in Sistan & Baluchistan Province

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    In many countries, Co-op system is considered a major sector involved in socio-economic structures. This article is derived from a descriptive research, conducted through an applied method as far as its objective is concerned. The universe is consisted of all office-bearers or practitioners involved in co-op sector in Sistan & Baluchistan province, out of whom 132 were selected on a complete random basis for the study. In addition to prescriptive statistics, coefficient of variation (C.V.) has, also, been used for data analysis so as to prioritize the variables or factors affecting extension and development of co-operative culture. The findings revealed that a majority of the respondents possess associate degrees (college degrees) and over 81% are males. They believe that among the economic factors, the state economic policies have the highest level of influence on co-operative culture. While among the educational variables, they have viewed T.V. programs as the most influential factor. Also, they believe that extension-education centers, co-operative festivals, and technical –skill – training courses are educational variables that should be given the second, third and fourth priorities respectively. Priority-setting of social variables revealed that in view of the respondents, formal education system is the most influential factor, as far as the development of co-operative culture is concerned. From among the five envisaged variables, attitude of governmental authorities was deemed as the most influential factor that can best influence the development of cooperative culture and practices in the region
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