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New Horizons for Psi: Extreme-Mass-Ratio Inspirals in Fundamental Fields

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arxiv 2412.08711 v1 pith:I2DBEV3T submitted 2024-12-11 gr-qc

New Horizons for Psi: Extreme-Mass-Ratio Inspirals in Fundamental Fields

classification gr-qc
keywords blackextreme-mass-ratiofieldsfundamentalholehorizonsinspiralsaround
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This set of notes guided a 2 hour lecture on "Extreme-Mass-Ratio Inspirals in Fundamental Fields for the New Horizons for Psi School and Workshop", hosted at Instituto Superior Tecnico, University of Lisbon, between 1 - 5 July 2024. It introduces how to model asymmetric mass-ratio binaries evolving while immersed in an environment constituted by an ultralight (complex) scalar field using techniques of black hole perturbation theory, and focusing on the simpler example of a spherically symmetric cloud around a non-rotating black hole. A Mathematica notebook with the derivation and solver of the equations of motion of the system is also provided.

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    For high-spin Kerr circular orbits, l_max >=30 and Chebyshev interpolation with global relative flux error matching the mass ratio yield mismatches below 10^{-3} and negligible parameter biases in 4-year EMRI signals ...