Description: | [DPS Seminar] Dr. Sajal Mukherjee (Astronomical Institute of Czech Academy of Sciences, Prague, Czech Republic) -- Impact of resonances on the evolution of EMRIs. |

Date: | Tuesday, Apr 26, 2022 |

Time: | 3 p.m. - 4:30 p.m. |

Venue: | Meghnad Saha Lecture Theatre |

Details: | The time evolution of an EMRI (extreme mass ratio inspiral) is prolonged and contains many number of cycles. In order to detect the gravitational waves (GW) signal from these systems, it is important to model the waveform accurately. Typically, we use two timescale approximation, where the slow timescale describes the inspiral of the binary, and the fast timescale characterises its orbital motions. In this talk, I will consider a system composed of a charged particle moving in the background of a magnetised Kerr black hole, which serves as an analogue to EMRI system. I will introduce the instantaneous electromagnetic self force to describe the time evolution of this system and model the resonance crossing. In the beginning of the talk, I will give a brief introduction to these resonances, while primarily focus on the prolonged resonance in our case. In this resonance, the integrability of the Hamiltonian is broken and we encounter chaos under certain conditions. Another key objective of this talk is to compare the results between instantaneous self force and approximated adiabatic treatment. Finally, I will attempt to point out the possible implications of these results in the gravitational sector. |

Calendar: | Seminar Calendar (entered by rajni) |

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