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arXiv · 2204.08881

Detecting electric charge with Extreme Mass Ratio Inspirals

Chao Zhang·Yungui Gong
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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 $q\sim 10^{-3}$.

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Chao Zhang, Yungui Gong. 2022-04-19. Detecting electric charge with Extreme Mass Ratio Inspirals. https://doi.org/10.1103/physrevd.105.124046

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