Higher-dimensional spinning black holes and effective field theory

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Abstract
A bstract: We study the scalar tidal responses of spinning higher-dimensional black holes, and their effective field theory description. After constructing the effective field theory of a spinning point particle in general dimension, we apply this theory to match the scalar responses of a variety of black hole solutions. In addition to the five-dimensional Myers-Perry black hole, we derive the scalar responses of spinning black holes in the large D limit, and also study the responses of black holes in the ultra-spinning regime. We find that in the most generic case, the static responses of higher-dimensional spinning black holes do not vanish, but for special cases we find a pattern of zeroes in the responses, similar to other known examples. Further, we observe various interesting relations between the responses.
Funding Information
  • U.S. Department of Energy (DE-SC0025323)
  • Agence Nationale de la Recherche (ANR-24-CE31-1097-01)
  • National Science Foundation (PHY-2309270)

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