1,641 research outputs found

    Insurance contracts after the Insurance Act 2015

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    Discusses the provisions of the Insurance Act 2015 ss.10 and 11 on the consequences of an insured being in breach of a warranty or policy term respectively. Examines the background to the Act, including the perceived need to remedy the absence of a proportionality requirement when insurers seek to avoid a policy for breach of its conditions. Considers how the provisions differ from the proposals put forward by the Law Commission

    A rare cause of peripheral facial paralysis in childhood in our country: lyme disease

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    Lyme disease is a zoonosis caused by Spirochetes called Borrelia burgdorferi, involving several areas, such as the skin, heart and central nervous system. In this case report, we present a 10-year-old male who had complaints of fever, extensive oral aphthae, perioral dried sores, rash, blurred vision and peripheral facial paralysis, and was diagnosed with Lyme disease. In this report, we want to emphasize that Lyme disease should be kept in mind for differential diagnosis in patients with fever and peripheral facial paralysis

    Accelerated Levi-Civita-Bertotti-Robinson Metric in D-Dimensions

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    A conformally flat accelerated charge metric is found in an arbitrary dimension DD. It is a solution of the Einstein-Maxwell-null fluid with a cosmological constant in D4D \ge 4 dimensions. When the acceleration is zero our solution reduces to the Levi-Civita-Bertotti-Robinson metric. We show that the charge loses its energy, for all dimensions, due to the acceleration.Comment: Latex File, 12 page

    Closed timelike curves and geodesics of Godel-type metrics

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    It is shown explicitly that when the characteristic vector field that defines a Godel-type metric is also a Killing vector, there always exist closed timelike or null curves in spacetimes described by such a metric. For these geometries, the geodesic curves are also shown to be characterized by a lower dimensional Lorentz force equation for a charged point particle in the relevant Riemannian background. Moreover, two explicit examples are given for which timelike and null geodesics can never be closed.Comment: REVTeX 4, 12 pages, no figures; the Introduction has been rewritten, some minor mistakes corrected, many references adde

    Principal models on a solvable group with nonconstant metric

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    Field equations for generalized principle models with nonconstant metric are derived and ansatz for their Lax pairs is given. Equations that define the Lax pairs are solved for the simplest solvable group. The solution is dependent on one free variable that can serve as the spectral parameter. Painleve analysis of the resulting model is performed and its particular solutions are foundComment: 8 pages, Latex2e, no figure

    G\"odel Type Metrics in Three Dimensions

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    We show that the G{\" o}del type Metrics in three dimensions with arbitrary two dimensional background space satisfy the Einstein-perfect fluid field equations. There exists only one first order partial differential equation satisfied by the components of fluid's velocity vector field. We then show that the same metrics solve the field equations of the topologically massive gravity where the two dimensional background geometry is a space of constant negative Gaussian curvature. We discuss the possibility that the G{\" o}del Type Metrics to solve the Ricci and Cotton flow equations. When the vector field uμu^{\mu} is a Killing vector field we finally show that the stationary G{\" o}del Type Metrics solve the field equations of the most possible gravitational field equations where the interaction lagrangian is an arbitrary function of the electromagnetic field and the curvature tensors.Comment: 17 page

    Godel-type Metrics in Various Dimensions II: Inclusion of a Dilaton Field

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    This is the continuation of an earlier work where Godel-type metrics were defined and used for producing new solutions in various dimensions. Here a simplifying technical assumption is relaxed which, among other things, basically amounts to introducing a dilaton field to the models considered. It is explicitly shown that the conformally transformed Godel-type metrics can be used in solving a rather general class of Einstein-Maxwell-dilaton-3-form field theories in D >= 6 dimensions. All field equations can be reduced to a simple "Maxwell equation" in the relevant (D-1)-dimensional Riemannian background due to a neat construction that relates the matter fields. These tools are then used in obtaining exact solutions to the bosonic parts of various supergravity theories. It is shown that there is a wide range of suitable backgrounds that can be used in producing solutions. For the specific case of (D-1)-dimensional trivially flat Riemannian backgrounds, the D-dimensional generalizations of the well known Majumdar-Papapetrou metrics of general relativity arise naturally.Comment: REVTeX4, 17 pp., no figures, a few clarifying remarks added and grammatical errors correcte
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