The stability of a Nambu-Goto membrane at the equatorial plane of the Reissner-Nordstr{ \o}m-de Sitter spacetime is studied. The covariant perturbation formalism is applied to study the behavior of the perturbation of the membrane. The perturbation equation is solved numerically. It is shown that a membrane intersecting a charged black hole, including extremely charged one, is unstable and that the positive cosmological constant strengthens the instability.
Categories: gr-qc astro-ph hep-th
