Resumen de Perturbación de las hipersuperficies S = { r = r_0} en la métrica de Schwarzchild debida a su curvatura extrínseca

José María Fernández Cristobal

• We study the perturbation of hypersurfaces S(x) = { r = r_0} inside the Schwarzchild metric under its own extrinsic curvature. Particularly, we consider r_0 = 2M (the event horizon) and we show that the induced metric of this is kept stable under the induced perturbation by the extrinsic curvature.