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Gravitational waves from extreme mass ratio inspirals around a hairy Kerr black hole
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Recently, Contreras et al. \cite{Contreras:2021yxe} introduced a new type of black hole, called hairy Kerr black hole (HKBH), which describes a Kerr BH surrounded by an axially symmetric fluid with conserved energy momentum tensor. In this paper, we compute the gravitational waves emitted from the extreme mass ratio inspirals around the HKBHs. We solve the Dudley-Finley equation, which describes the gravitational perturbations of the HKBH, and obtain the energy fluxes induced by a stellar-mass compact object moving on the equatorial, circular orbits. Using the adiabatic approximation, we evolved the radii of the circular orbits by taking into account the backreaction of gravitational radiation. Then we calculate the dephasing and mismatch of the EMRI waveforms from the HKBH and Kerr BH to assess the difference between them. The results demonstrate that the EMRI waveforms from the HKBH with deviation parameter larger than $0.001$ and hair charge smaller than $1.5M$ can be discerned by LISA.
Forward citations
Cited by 5 Pith papers
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Probing near-zone magnetic fields with extreme mass-ratio inspirals
A magnetized Schwarzschild background shifts EMRI orbital dynamics and GW waveforms, with B~10^9 G producing ~1.3 rad dephasing over one year for a 10^6 M_sun system.
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Massive scalar fields in eccentric regime: Detectability and constraints from LISA observations of extreme mass-ratio inspirals
Computes scalar and tensor fluxes for eccentric EMRIs with massive scalars, quantifies dephasing, and shows via Fisher matrix that LISA can constrain scalar charge and mass.
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Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals
Extreme mass-ratio inspirals can constrain the Lorentz symmetry breaking parameter ℓ in bumblebee gravity to O(10^{-4}) uncertainty with LISA.
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Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals
EMRI waveforms in bumblebee gravity allow LISA to constrain the Lorentz symmetry breaking parameter ell at the level of O(10^{-4}).
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Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals
LISA can constrain the Lorentz symmetry breaking parameter ell in bumblebee gravity to O(10^{-4}) uncertainty via EMRI waveform analysis in the AAK framework.
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