Massive tensor field perturbations on extremal and near-extremal static black holes

Understand

We develop a new perturbation method to study the dynamics of massive tensor fields on extremal and near-extremal static black hole spacetimes in arbitrary dimensions.

• On such backgrounds, one can classify the components of massive tensor fields into the tensor, vector, and scalar-type components.
• For the tensor-type components, which arise only in higher dimensions, the massive tensor field equation reduces to a single master equation, whereas the vector and scalar-type components remain coupled.
• We consider the near-horizon expansion of both the geometry and the field variables with respect to the near-horizon scaling parameter.