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 SasakiNakamura 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 a spacebased gravitational wave detector such as the Laser Interferometer Space Antenna can detect the charge to mass ratio as small as q ∼10^{3} .
 Publication:

Physical Review D
 Pub Date:
 June 2022
 DOI:
 10.1103/PhysRevD.105.124046
 arXiv:
 arXiv:2204.08881
 Bibcode:
 2022PhRvD.105l4046Z
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 14 pages, 3 figures, 1 table