PIRSA:13110067 Scientific Series Strong Gravity

DOI10.48660/13110067

Series: Strong Gravity

Casals, M. (2013). Self-force and Green function in Schwarzschild spacetime via quasinormal modes and branch cut. Perimeter Institute. https://pirsa.org/13110067

Casals, Marc. Self-force and Green function in Schwarzschild spacetime via quasinormal modes and branch cut. Perimeter Institute, Nov. 14, 2013, https://pirsa.org/13110067 

@misc{ pirsa_PIRSA:13110067,
  doi = {10.48660/13110067},
  url = {https://pirsa.org/13110067},
  author = {Casals, Marc},
  keywords = {Strong Gravity},
  language = {en},
  title = {Self-force and Green function in Schwarzschild spacetime via quasinormal modes and branch cut},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {nov},
  note = {PIRSA:13110067 see, \url{https://pirsa.org}}
}

Abstract

The modelling of gravitational wave sources is of timely interest given the exciting prospect of a first detection of gravitational waves by the new generation of detectors. The motion of a small compact object around a massive black hole deviates from a geodesic due to the action of its own field, giving rise to a self-force and the emission of gravitational waves. The self-force program has recently achieved important results using well-established methods. In this talk, we will present a different, novel method, where the self-force is calculated via the Green function of the wave equation that the field perturbation satisfies. We will present a calculation of the global Green function on Schwarzschild black hole spacetime. The calculation is carried out via a spectroscopy analysis of the Green function, which includes quasinormal modes and a branch cut in the complex-frequency plane. We will apply this analysis to calculate the self-force on a scalar charge and to reveal geometrical properties of wave propagation on a Schwarzschild background.

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