Logo

G

G

I

S

C

H

O

O

L

Logo
       

LACES 2023

Lezioni Avanzate di Campi E Stringhe

Galileo Galilei Institute for Theoretical Physics, Arcetri  Italy
November, 27th - December, 15th

 

Advanced General Relativity

Andrea Campoleoni - University of Mons

Carlo Heissenberg - Queen Mary University of London

 
 
  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
 
 
 
 
 
 
Organisers:
Agnese Bissi
Davide Cassani
Dario Francia
Federico Galli
Carlo Maccaferri
Noppadol Mekareeya
Secretary:
Annalisa Anichini
Alessandra Gentili
Mauro Morandini
Housing:
Mirella Ridi
Computer assistance:
Alessio Attardi
Sponsored by