Excited Kerr black holes with scalar hair

Abstract

In the context of complex scalar field coupled to Einstein gravity theory, we present a novel family of solutions of Kerr black holes with excited-state scalar hair inspired by the work of Herdeiro and Radu in [Phys.\ Rev.\ Lett.\ {\bf 112}, 221101 (2014)], which can be regarded as numerical solutions of rotating compact objects with excited scalar hair, including boson stars and black holes. In contrast to Kerr black holes with ground state scalar hair, we find that the first-excited Kerr black holes with scalar hair have two types of nodes, including radial $n_r=1$ and angular $n_{\theta }=1$ nodes. Moreover, in the case of radial nodes the curves of the mass versus the frequency form nontrivial loops, and in the case of angular nodes the curves can be divided into two kinds: closed and open loops. We also study the dependence of the horizon area on angular momentum and Hawking temperature.

19 pages, 18 figures, 2 ancillary files

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Cited by in corpus (30)

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• Kerr black holes with parity-odd scalar hair
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• A bound on energy extraction (and hairiness) from superradiance
• Kerr black holes with synchronised axionic hair
• Gravitating solitons and black holes with synchronised hair in the four dimensional O(3) sigma-model
• Chains of Boson Stars
• The extreme orbital period in scalar hairy kerr black holes
• Magnetized accretion disks around Kerr black holes with scalar hair - I. Constant angular momentum disks
• Analytic charged BHs in $f(\mathcal{R})$ gravity
• Rotating multistate boson stars
• New rotating AdS/dS black holes in $\mathrm{f}(\mathrm{R})$ gravity
• Specific neutral and charged black holes in $f(R)$ gravitational theory
• Novel exact ultra-compact and ultra-sparse hairy black holes emanating from regular and phantom scalar fields
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• Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity
• Self-interacting multistate boson stars
• Motion of test particle in rotating boson star
• Stationary scalar hairy configurations supported by Neumann compact stars
• No-go theorem for static boson stars with negative cosmological constants
• Equatorial orbits of spinning test particle in rotating boson star
• Bifurcations in Bosonic Stars: chains and rings from spherical solutions
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair
• Splitting the Gravitational Atom: Instabilities of Black Holes with Synchronized or Resonant Hair
• On instabilities of stationary scalar field configurations supported by reflecting compact stars
• Polish Doughnuts around Scalarized Kerr Black Holes