19 research outputs found

    Asymptotically (anti)-de Sitter solutions in Gauss-Bonnet gravity without a cosmological constant

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    In this paper we show that one can have asymptotically de Sitter (dS), anti-de Sitter (AdS) and flat solutions in Gauss-Bonnet gravity without any need to a cosmological constant term in field equations. First, we introduce static solutions whose 3-surfaces at fixed rr and tt have constant positive (k=1k=1), negative (k=−1k=-1), or zero (k=0k=0) curvature. We show that for k=±1k=\pm1, one can have asymptotically dS, AdS and flat spacetimes, while for the case of k=0k=0, one has only asymptotically AdS solutions. Some of these solutions present naked singularities, while some others are black hole or topological black hole solutions. We also find that the geometrical mass of these 5-dimensional spacetimes is m+2α∣k∣m+2\alpha | k| , which is different from the geometrical mass, mm , of the solutions of Einstein gravity. This feature occurs only for the 5-dimensional solutions, and is not repeated for the solutions of Gauss-Bonnet gravity in higher dimensions. We also add angular momentum to the static solutions with k=0k=0, and introduce the asymptotically AdS charged rotating solutions of Gauss-Bonnet gravity. Finally, we introduce a class of solutions which yields an asymptotically AdS spacetime with a longitudinal magnetic field which presents a naked singularity, and generalize it to the case of magnetic rotating solutions with two rotation parameters.Comment: 13 pages, no figur

    Leadership and the Australian Greens

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    This paper examines the inherent tension between a Green political party’s genesis and official ideology and the conventional forms and practices of party leadership enacted in the vast bulk of other parties, regardless of their place on the ideological spectrum. A rich picture is painted of this ongoing struggle through a case study of the Australian Greens with vivid descriptions presented on organisational leadership issues by Australian state and federal Green members of parliaments. What emerges from the data is the Australian Green MPs’ conundrum in retaining an egalitarian and participatory democracy ethos while seeking to expand their existing frame of leadership to being both more pragmatic and oriented towards active involvement in government

    The geometry of the higher dimensional black hole thermodynamics in Einstein-Gauss-Bonnet theory

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    This paper deals with five-dimensional black hole solutions in (a) Einstein-Yang-Mills-Gauss-Bonnet theory and (b)Einstein-Maxwell-Gauss-Bonnet theory with a cosmological constant for spherically symmetric space time. The geometry of the black hole thermodynamics has been studied for both the black holes.Comment: 8 page

    Conserved Quantities from the Equations of Motion (with applications to natural and gauge natural theories of gravitation)

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    We present an alternative field theoretical approach to the definition of conserved quantities, based directly on the field equations content of a Lagrangian theory (in the standard framework of the Calculus of Variations in jet bundles). The contraction of the Euler-Lagrange equations with Lie derivatives of the dynamical fields allows one to derive a variational Lagrangian for any given set of Lagrangian equations. A two steps algorithmical procedure can be thence applied to the variational Lagrangian in order to produce a general expression for the variation of all quantities which are (covariantly) conserved along the given dynamics. As a concrete example we test this new formalism on Einstein's equations: well known and widely accepted formulae for the variation of the Hamiltonian and the variation of Energy for General Relativity are recovered. We also consider the Einstein-Cartan (Sciama-Kibble) theory in tetrad formalism and as a by-product we gain some new insight on the Kosmann lift in gauge natural theories, which arises when trying to restore naturality in a gauge natural variational Lagrangian.Comment: Latex file, 31 page
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