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  1. No Access

    Article

    De Sitter-Invariant Special Relativity and Galaxy Rotation Curves

    Owing to the existence of an invariant length at the Planck scale, Einstein’s special relativity breaks down at that scale. A possible solution to this problem is arguably to replace the Poincaré-invariant Ein...

    A. Araujo, D. F. López, J. G. Pereira in Gravitation and Cosmology (2019)

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    Article

    On the spacetime connecting two aeons in conformal cyclic cosmology

    As quotient spaces, Minkowski and de Sitter are fundamental, non-gravitational spacetimes for the construction of physical theories. When general relativity is constructed on a de Sitter spacetime, the usual R...

    A. Araujo, H. Jennen, J. G. Pereira, A. C. Sampson… in General Relativity and Gravitation (2015)

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    Article

    The Role of Abstract Numerical Properties in the Change of Character of Reactive Flows

    The aim of this paper is to study the role of explicitness, implicitness and order in the stability and qualitative properties of splitting methods for solving advection-reaction equations. Numerical pathologi...

    A. Araújo, J. A. Ferreira, P. de Oliveira in Journal of Mathematical Fluid Mechanics (2005)