Analytic Kludge Waveforms for Extreme Mass Ratio Inspirals of Charged Object around Kerr-Newman Black Hole

Abstract

We derive the approximate, ``analytic-kludge'' (AK) waveforms for the inspiral of a charged stellar-mass compact object (CO) into a charged massive Kerr-Newman (KN) black hole (BH). The modifications of the inspiral orbit due to the charges in this system can be attributed to three sources: the electric force between the CO and the MBH, the energy flow of the dipole electromagnetic radiation, and the deformation of the metric caused by the charge of the MBH. All these are encoded explicitly in the fundamental frequencies of the orbits, which are calculated analytically in the weak-field regime. By calculating the mismatch between the waveforms for charged and neutral EMRI systems with respect to space-borne detectors TianQin and LISA, we show that tiny charges in the system can produce distinct imprints on the waveforms. Finally, we perform parameter estimation for the charges using the Fisher information matrix method and find that the precision can reach the level of $10^{-5}$ in suitable scenarios. We also study the effects of charges on the parameter estimation of charge, where the effects from the charge of the MBH can be well explained by its effects on the cutoff of the inspiral.

15 pages, 7 figures, nb source is available, minor changes, to be published in PRD

References in corpus (12)

• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• Can environmental effects spoil precision gravitational-wave astrophysics?
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• The TianQin project: current progress on science and technology
• Extreme- and Intermediate-Mass Ratio Inspirals in Dynamical Chern-Simons Modified Gravity
• Science with the TianQin observatory: Preliminary result on extreme-mass-ratio inspirals
• Testing Chern-Simons Modified Gravity with Gravitational-Wave Detections of Extreme-Mass-Ratio Binaries
• Gravitational waves from Extreme Mass Ratio Inspirals in non-pure Kerr spacetimes
• Gravitational waves from extreme mass ratio inspirals around bumpy black holes
• Merger rate of charged black holes from the two-body dynamical capture
• Detecting electric charge with Extreme Mass Ratio Inspirals
• Bounding dark charges on binary black holes using gravitational waves

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