Magnetic field corrections to inspiral waveforms appear at -2 PN and -3 PN orders and mimic power-law environmental gravity but can be distinguished above a transition density of about 10^{-4} kg/m^3 for Bonnor-Melvin cases using multi-event statistics.
The PE precision δB at magnetic strength BBR cor- responding to gravitational pull from power-law matter, con- sidering Q3d sources
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Distinguishability of magnetic massive black holes from environmental mimics with inspiral gravitational waves
Magnetic field corrections to inspiral waveforms appear at -2 PN and -3 PN orders and mimic power-law environmental gravity but can be distinguished above a transition density of about 10^{-4} kg/m^3 for Bonnor-Melvin cases using multi-event statistics.