Frequency domain approach to self-force in hyperbolic scattering

          @misc{ scivideos_PIRSA:21060057,
            doi = {10.48660/21060057},
            url = {https://pirsa.org/21060057},
            author = {Whittall, Christopher},
            keywords = {Other Physics},
            language = {en},
            title = {Frequency domain approach to self-force in hyperbolic scattering},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060057 see, \url{https://scivideos.org/index.php/pirsa/21060057}}
          }
          

Abstract

Hyperbolic scattering orbits, able to penetrate deep into the sub-ISCO region even at relatively low energies, provide an excellent probe of the strong-field regime outside black holes. Self-force calculations of the scatter angle can greatly advance the development of post-Minkowskian theory and of the EOB model of binary dynamics. We develop a frequency-domain method for calculating the 1st order scalar self-force acting on a charge moving along a hyperbolic Schwarzschild geodesic, outlining the formulation of the problem, the challenges faced and our attempted solutions. Particular attention will be paid to issues faced by the usual method of extended homogeneous solutions (EHS) used to circumvent the Gibbs phenomenon.