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    Central equation of state in spherical characteristic evolutions

    W. Barreto

    L. Castillo

    E. Barrios

    • Centro de Física Fundamental, Facultad de Ciencias, Universidad de Los Andes, Mérida 5101, Estado Mérida, Venezuela

    • Departamento de Física, Escuela de Ciencias, Núcleo de Sucre, Universidad de Oriente, Cumaná 6101, Estado Sucre, Venezuela

    • Postgrado en Física Fundamental, Facultad de Ciencias, Universidad de Los Andes, Mérida 5101, Estado Mérida, Venezuela

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    Phys. Rev. D 80, 084007 – Published 7 October, 2009

    DOI: https://doi.org/10.1103/PhysRevD.80.084007

    Abstract

    We study the evolution of a perfect-fluid sphere coupled to a scalar radiation field. By ensuring a Ricci invariant regularity as a conformally flat spacetime at the central world line we find that the fluid coupled to the scalar field satisfies the equation of state ρc+3pc=const at the center of the sphere, where the energy ρc density and the pressure pc do not necessarily contain the scalar field contribution. The fluid can be interpreted as anisotropic and radiant because of the scalar field, but it becomes perfect and nonradiative at the center of the sphere. These results are currently being considered to build up a numerical relativistic hydrodynamic solver.

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    Phys. Rev. D 80, 084007– Published 7 October, 2009
    • Received 14 August 2009

    © 2009 American Physical Society

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