Precise predictions for gravitational binary systems from scattering amplitudes

Abstract: We introduce on-shell methods that originated in the context of collider physics to problems in classical and quantum gravity. The main results are precises pre- dictions for various physical quantities that are important for the theoretical de- scription of the gravitational two-body problem with direct applications at present and future gravitational-wave experiments. A central result is the two-body potential to the fourth order in perturbation theory. In addition we also determine the effect of radiative corrections induced by dissipation due to gravitational waves to the scattering angle of two massive objects. Furthermore, we determine the total energy radiated during a scattering encounter as well as during an orbital period in a bound two-body system. We establish new methods that significantly simplify these computations. A particular focus is put on complicated integrals and we describe in detail an effi- cient approach to their evaluation based on the method of regions and differential equations. Another significant result is the four-graviton amplitude in general relativity, which we determine to the third order in perturbation theory including quantum effects. We use this result to compute the high-energy scattering angle in general relativity and provide an important contribution to an persisting debate about the relationship between the high-energy limit of scattering processes of massive and massless objects

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch
Anmerkungen
Universität Freiburg, Dissertation, 2021

Schlagwort
Gravitationswelle
Streuamplitude

Ereignis
Veröffentlichung
(wo)
Freiburg
(wer)
Universität
(wann)
2022
Urheber

DOI
10.6094/UNIFR/223366
URN
urn:nbn:de:bsz:25-freidok-2233667
Rechteinformation
Kein Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
25.03.2025, 13:53 MEZ

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Entstanden

  • 2022

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