Tidal deformation of quantum black holes

Ram Brustein, Yotam Sherf

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The response of a gravitating object to an external tidal field is encoded in its Love numbers, which identically vanish for classical black holes (BHs). Here we show, using standard time-independent quantum perturbation theory, that for a quantum BH, generically, the Love numbers are nonvanishing and negative. We calculate the quadrupolar electric quantum Love number of slowly rotating BHs and show that it depends most strongly on the first excited level of the quantum BH. Finally, we discuss the detectability of the quadrupolar quantum Love number in future precision gravitational-wave observations and show that, under favourable circumstances, its magnitude is large enough to imprint an observable signature on the gravitational waves emitted during the inspiral. Phase of two moderately spinning BHs.

Original languageEnglish
Article number2142011
JournalInternational Journal of Modern Physics D
Issue number14
StatePublished - 15 Oct 2021


  • Quantum aspects of black holes
  • gravitational wave sources
  • quantum gravity

ASJC Scopus subject areas

  • Mathematical Physics
  • Astronomy and Astrophysics
  • Space and Planetary Science


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