6,780 research outputs found

    Polytropic equation of state and primordial quantum fluctuations

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    We study the primordial Universe in a cosmological model where inflation is driven by a fluid with a polytropic equation of state p=αρ+kρ1+1/np = \alpha\rho + k\rho^{1 + 1/n}. We calculate the dynamics of the scalar factor and build a Universe with constant density at the origin. We also find the equivalent scalar field that could create such equation of state and calculate the corresponding slow-roll parameters. We calculate the scalar perturbations, the scalar power spectrum and the spectral index.Comment: 16 pages, 4 figure

    Generalized Chaplygin gas with α=0\alpha = 0 and the ΛCDM\Lambda CDM cosmological model

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    The generalized Chaplygin gas model is characterized by the equation of state p=Aραp = - \frac{A}{\rho^\alpha}. It is generally stated that the case α=0\alpha = 0 is equivalent to a model with cosmological constant and dust (ΛCDM\Lambda CDM). In this work we show that, if this is true for the background equations, this is not true for the perturbation equations. Hence, the mass spectrum predicted for both models may differ.Comment: Latex file, 4 pages, 2 figures in eps forma

    Interoperability and Standards: The Way for Innovative Design in Networked Working Environments

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    Organised by: Cranfield UniversityIn today’s networked economy, strategic business partnerships and outsourcing has become the dominant paradigm where companies focus on core competencies and skills, as creative design, manufacturing, or selling. However, achieving seamless interoperability is an ongoing challenge these networks are facing, due to their distributed and heterogeneous nature. Part of the solution relies on adoption of standards for design and product data representation, but for sectors predominantly characterized by SMEs, such as the furniture sector, implementations need to be tailored to reduce costs. This paper recommends a set of best practices for the fast adoption of the ISO funStep standard modules and presents a framework that enables the usage of visualization data as a way to reduce costs in manufacturing and electronic catalogue design.Mori Seiki – The Machine Tool Compan

    No-horizon theorem for spacetimes with spacelike G1 isometry groups

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    We consider four-dimensional spacetimes (M,g)(M,{\mathbf g}) which obey the Einstein equations G=T{\mathbf G}={\mathbf T}, and admit a global spacelike G1=RG_{1}={\mathbb R} isometry group. By means of dimensional reduction and local analyis on the reduced (2+1) spacetime, we obtain a sufficient condition on T{\mathbf T} which guarantees that (M,g)(M,{\mathbf g}) cannot contain apparent horizons. Given any (3+1) spacetime with spacelike translational isometry, the no-horizon condition can be readily tested without the need for dimensional reduction. This provides thus a useful and encompassing apparent horizon test for G1G_{1}-symmetric spacetimes. We argue that this adds further evidence towards the validity of the hoop conjecture, and signals possible violations of strong cosmic censorship.Comment: 8 pages, LaTeX, uses IOP package; published in Class. Quantum Gra
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