How do axisymmetric black holes grow monopole and dipole hair

Abhishek Hegade K. R, Elias R. Most, Jorge Noronha, Helvi Witek, Nicolás Yunes

Research output: Contribution to journalArticlepeer-review


We study the dynamical formation of scalar monopole and dipole hair in scalar Gauss-Bonnet theory and dynamical Chern-Simons theory. We prove that the spherically symmetric mode of the dipole hair is completely determined by the product of the mass of the spacetime and the value of the monopole hair. We then show that the dynamics of the ℓ=1 mode of the dipole hair is intimately tied to the appearance of the event horizon during axisymmetric collapse, which results in the radiation of certain modes that could have been divergent in the future of the collapse. We confirm these analytical predictions by simulating the gravitational collapse of a rapidly rotating neutron star in the decoupling limit, both in scalar Gauss-Bonnet and dynamical Chern-Simons theory. Our results, combined with those in Hegade K. R. et al. [Phys. Rev. D 105, 064041 (2022)PRVDAQ2470-001010.1103/PhysRevD.105.064041], provide a clear physical picture of the dynamics of scalar monopole and dipole radiation in axisymmetric and spherical gravitational collapse in these theories.

Original languageEnglish (US)
Article number104047
JournalPhysical Review D
Issue number10
StatePublished - May 15 2023
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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