Speaker: Davide Usseglio, PhD student at Scuola Superiore Meridionale (SSM). Davide has been working on different problems in General Relativity, with particular focus on the Self Force expansion. During the talk, he will provide an introduction to this formalism and present some original results. More information below.
Abstract: In order to extract analytic information from the two body problem, we usually relies on different perturbative scheme: post-Newtonian (when the relative velocity is small), post-Minkowskian (when the relative distance is large) or the Self Force expansion, when the mass-ratio is small. This last case describes the so called Extreme Mass Ratio Inspirals (EMRIs) binaries, where the system is composed by a massive Kerr black hole (the primary) and a small companion (the secondary).
In the last decade, the community has spent a considerable effort for characterizing such systems by using the Self Force approximation, in both the numerical and analytical point of view, that could be detected in the foreseeable future thanks to LISA.
The first part of my talk will be devoted to give an introductory explanation on how to get meaningful information from the Self Force approach, by providing analytical solutions (at first order) for the Teukolsky equation with a point-like source produced by a spin-s field in a generic equatorial orbit.
Once I set the background, I will then restrict my attention to the Schwarzschild background with a perturbation sourced by a scalar field in both bounded (quasi-circular) and unbounded (hyperbolic) orbit, presenting original results in both cases, focusing especially on the scattering case, which is unexplored territories from the Self Force point of view, but it has been intensively studied in other perturbative schemes, in particular by means of Effective Field Theory, high energy physics computational techniques and PN theory.
Time permitting, I will then conclude by providing glimpses on the calculation of gravitational fluxes and waveforms for a scattering event in the Self Force formalism.
Location: The DIAS Meetingroom Syd (V22-503a-2)
You can also join via Zoom (passcode: 060379).
The event is open to all.
Abstract: In order to extract analytic information from the two body problem, we usually relies on different perturbative scheme: post-Newtonian (when the relative velocity is small), post-Minkowskian (when the relative distance is large) or the Self Force expansion, when the mass-ratio is small. This last case describes the so called Extreme Mass Ratio Inspirals (EMRIs) binaries, where the system is composed by a massive Kerr black hole (the primary) and a small companion (the secondary).
In the last decade, the community has spent a considerable effort for characterizing such systems by using the Self Force approximation, in both the numerical and analytical point of view, that could be detected in the foreseeable future thanks to LISA.
The first part of my talk will be devoted to give an introductory explanation on how to get meaningful information from the Self Force approach, by providing analytical solutions (at first order) for the Teukolsky equation with a point-like source produced by a spin-s field in a generic equatorial orbit.
Once I set the background, I will then restrict my attention to the Schwarzschild background with a perturbation sourced by a scalar field in both bounded (quasi-circular) and unbounded (hyperbolic) orbit, presenting original results in both cases, focusing especially on the scattering case, which is unexplored territories from the Self Force point of view, but it has been intensively studied in other perturbative schemes, in particular by means of Effective Field Theory, high energy physics computational techniques and PN theory.
Time permitting, I will then conclude by providing glimpses on the calculation of gravitational fluxes and waveforms for a scattering event in the Self Force formalism.
Location: The DIAS Meetingroom Syd (V22-503a-2)
You can also join via Zoom (passcode: 060379).
The event is open to all.
- Organizer: Quantum Field Theory Center
- Address: Fioniavej 34, 5230 Odense M
- Contact Email: damiapaciarinim@imada.sdu.dk
- Add to your calendar: https://eom.sdu.dk:443/events/ical/f0b4039b-e004-49b4-8b63-52931b924152