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arXiv · 1901.07723

Quasinormal modes of $p$-forms in spherical black holes

Daiske Yoshida·Jiro Soda
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Abstract

We study the quasinormal modes of $p$-form fields in spherical black holes in $D$-dimensions. Using the spherical symmetry of the black holes and gauge symmetry, we show the $p$-form field can be expressed in terms of the coexact $p$-form and the coexact $(p-1)$-form on the sphere $S^{D-2}$. These variables allow us to find the master equations. By utilizing the S-deformation method, we explicitly show the stability of $p$-form fields in the spherical black hole spacetime. Moreover, using the WKB approximation, we calculate the quasinormal modes of the $p$-form fields in $D(\leq10)$-dimensions.

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Daiske Yoshida, Jiro Soda. 2019-01-23. Quasinormal modes of $p$-forms in spherical black holes. https://doi.org/10.1103/physrevd.99.044054

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