Stable isoperimetric surfaces in superextreme Reissner-Nordström


Abstract:

We study isoperimetric surfaces in the Reissner-Nordström spacetime, with emphasis on the cuasilocal inequality between area and charge. We analyze the stability of the isoperimetric spheres and we found that there is a lower bound on the area in terms of the charge, and that the inequality is saturated in the transition from the superextremal to the subextremal case. We also derive a general inequality between area and charge for stable isoperimetric surfaces in maximal electro-vacuum initial data. © 2013 IOP Publishing Ltd.

Año de publicación:

2013

Keywords:

    Fuente:

    scopusscopus

    Tipo de documento:

    Article

    Estado:

    Acceso restringido

    Áreas de conocimiento:

    • Geometría
    • Ecuación diferencial
    • Modelo matemático

    Áreas temáticas:

    • Mecánica clásica
    • Física
    • Matemáticas