Instability of a membrane intersecting a black hole
Abstract
The stability of a Nambu-Goto membrane at the equatorial plane of the Reissner-Nordstrm-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.
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