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Instability of a membrane intersecting a black hole

Susumu Higaki·Akihiro Ishibashi·Daisuke Ida
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Abstract

The stability of a Nambu-Goto membrane at the equatorial plane of the Reissner-Nordstrøm-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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Susumu Higaki, Akihiro Ishibashi, Daisuke Ida. 2000-09-28. Instability of a membrane intersecting a black hole. https://doi.org/10.1103/physrevd.63.025002

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