Detecting vector charge with extreme mass ratio inspirals onto Kerr black holes
Jan 14, 2023
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Abstract: (IOP)
Extreme mass ratio inspirals (EMRIs) are excellent sources for space-based observatoriesto explore the properties of black holes and test no-hair theorems. We consider EMRIs with acharged compact object inspiralling onto a Kerr black hole in quasi-circular orbits. Using theTeukolsky and generalized Sasaki-Nakamura formalisms for the gravitational and vectorperturbations about a Kerr black hole, we numerically calculate the energy fluxes for bothgravitational and vector perturbations induced by a charged particle moving in equatorial circularorbits. With one-year observations of EMRIs, we apply the Fisher information matrix method toestimate the charge uncertainty detected by space-based gravitational wave detectors such as theLaser Interferometer Space Antenna, TianQin, and Taiji, and we find that it is possible to detectvector charges as small as q ∼ 0.0049. The results show that EMRIs composed of a Kerr blackhole with a higher spin a and lighter mass M, and a secondary charged object with more vectorcharge give smaller relative error on the charge, thus constrain the charge better. The positivespin of the Kerr black hole can decrease the charge uncertainty by about one or two orders of magnitude.Note:
- 35 pages, 12 figures; accepted for publication by JCAP
- gravitational wave detectors
- gravitational waves / sources
- gravitational waves / theory
- black hole: Kerr
- charge: vector
- perturbation: vector
- spin: high
- capture
- perturbation: gravitation
- orbit: circle
References(101)
Figures(16)
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