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.
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The paper derives statistic thresholds to distinguish dynamical friction from dark matter spikes, extra dimension theory, and varying G theory using -4 PN order GW corrections in massive black hole binary inspirals across different astronomical models.
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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.
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Statistic threshold of distinguishing the environmental effects and modified theory of gravity with multiple massive black-hole binaries
The paper derives statistic thresholds to distinguish dynamical friction from dark matter spikes, extra dimension theory, and varying G theory using -4 PN order GW corrections in massive black hole binary inspirals across different astronomical models.