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LACES 2023 Lezioni Avanzate di Campi E Stringhe
Galileo Galilei Institute for Theoretical Physics, Arcetri Italy |
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Advanced General Relativity Andrea Campoleoni - University of Mons Carlo Heissenberg - Queen Mary University of London |
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Syllabus 1) Surface charges in general relativity - the notion of total energy in general relativity - an instructive example: surface charges in 3D gravity - the covariant phase-space formalism - surface charges in generally covariant field theories - asymptotically flat spacetimes and BMS symmetry 2) Gravitational observables from scattering amplitudes - eikonal phase and deflection angle - memory effect from the leading soft graviton theorem - soft limit of the energy spectrum, static angular momentum loss Reading suggestions [1] Wald, "General Relativity," The University of Chicago Press, 1984 [2] Campoleoni, Fredenhagen, "Higher-spin gauge theories in three space-time dimensions," arXiv:2312.xxxxx. [3] Compère, Fiorucci, "Advanced Lectures on General Relativity," arXiv:1801.07064. [4] Strominger, "Lectures on the Infrared Structure of Gravity and Gauge Theory," arXiv:1703.05448. [5] Di Vecchia, Heissenberg, Russo, Veneziano, "The gravitational eikonal: from particle, string and brane collisions to black-hole encounters" arXiv: 2306.16488 Other useful references: [1] Bjerrum-Bohr, Damgaard, Festuccia, Planté, Vanhove "General Relativity from Scattering Amplitudes" Phys.Rev.Lett. 121 (2018) 17 arXiv: 1806.04920 [2] Kosower, Maybee, O'Connell, Amplitudes, Observables, and Classical Scattering JHEP 02 (2019) 137 arXiv: 1811.10950 [3] Bern, Cheung, Roiban, Shen, Solon, Zeng "Black Hole Binary Dynamics from the Double Copy and Effective Theory" JHEP 10 (2019) 206 arXiv: 1908.01493 |
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