Kerr black holes with parity-odd scalar hair

Abstract

We study Kerr black holes with synchronised non-trivial parity-odd massive scalar hair in four dimensional asymptotically flat space-time. These axially symmetric stationary spinning solutions of the minimally coupled Einstein-Klein-Gordon theory provide yet another example of bound states in synchronous rotation with the event horizon. We discuss the properties of these parity-odd hairy black holes and boson stars and exhibit their domain of existence. Considering the ergo-regions of these hairy black holes, we show that apart from the previously discussed ergo-sphere and ergo-Saturn, they support a new type of composite ergo-surfaces with the topology of a double-torus-Saturn $(S^1\times S^1)⨁(S^1\times S^1)⨁S^2$.

arXiv comment14 pages, 5 figures

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• Black holes with synchronised Proca hair: linear clouds and fundamental non-linear solutions
• Kerr black holes with synchronised axionic hair
• Chains of Boson Stars
• Magnetized accretion disks around Kerr black holes with scalar hair - I. Constant angular momentum disks
• Rotating tensor-multiscalar black holes with two scalars
• Rotating multistate boson stars
• Self-interacting dipolar boson stars and their dynamics
• Two boson stars in equilibrium
• Magnetized accretion disks around Kerr black holes with scalar hair -- Nonconstant angular momentum disks
• Black holes, stationary clouds and magnetic fields
• Charged hairy black holes in the gauged Einstein-Friedberg-Lee-Sirlin model
• Splitting the Gravitational Atom: Instabilities of Black Holes with Synchronized or Resonant Hair
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair
• Slowly Rotating Boson Stars
• Spin-Induced Nonlinear Scalarization of Kerr Black Holes in Einstein-scalar-Gauss-Bonnet Gravity
• Radial perturbations of scalar-Gauss-Bonnet black holes beyond spontaneous scalarization