Detecting electric charge with Extreme Mass Ratio Inspirals

Abstract

We consider extreme mass ratio inspirals during which an electrically charged compact object with mass $m_p$ and the charge to mass ratio $q$ inspirals around a Schwarzschild black hole of mass $M$. Using the Teukolsky and generalized Sasaki-Nakamura formalisms for the gravitational and electromagnetic perturbations around a Schwarzschild black hole, we numerically calculate the energy flux of both gravitational and electromagnetic waves induced by a charged particle moving in circular orbits. With one year observation of these extreme mass ratio inspirals, we show that space-based gravitational wave detector such as the Laser Interferometer Space Antenna can detect the charge to mass ratio as small as $q\sim 10^{-3}$.

14 pages, 3 figures, 1 table; v2: references added

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Cited by in corpus (10)

• Probing vector hair of black holes with extreme mass ratio inspirals
• Gravitational-wave imprints of compact and galactic-scale environments in extreme-mass-ratio binaries
• Gravitational waves from eccentric extreme mass-ratio inspirals as probes of scalar fields
• Analytic Kludge Waveforms for Extreme Mass Ratio Inspirals of Charged Object around Kerr-Newman Black Hole
• Gravitational and electromagnetic radiation from binary black holes with electric and magnetic charges: Hyperbolic orbits on a cone
• Extreme mass ratio inspirals in galaxies with dark matter halos
• Constraint on the mass of graviton with gravitational waves
• Probing new fundamental fields with Extreme Mass Ratio Inspirals
• Exploring Dark Forces with Multimessenger Studies of Extreme Mass Ratio Inspirals
• Generic effective sources for first-order in mass-ratio gravitational self-force calculations in Schwarzschild spacetime