A perturbative no-hair of form fields for higher dimensional static black holes
Abstract
In this paper we examine the static perturbation of p-form field strengths around higher dimensional Schwarzschild spacetimes. As a result, we can see that the static perturbations do not exist when p≥ 3. This result supports the no-hair properties of p-form fields. However, this does not exclude the presence of the black objects having non-spherical topology.
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