TY - JOUR
T1 - Bertrand’s theorem and the double copy of relativistic field theories
AU - de Neeling, Dijs
AU - Roest, Diederik
AU - Seri, Marcello
AU - Waalkens, Holger
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024/8
Y1 - 2024/8
N2 - Which relativistic field theories give rise to Kepler dynamics in the two-body problem? We consider a class of Hamiltonians that is the unique relativistic extension of the Kepler problem preserving its so(4) algebra, and have orbits related through time reparametrisation to orbits of the original Kepler problem. For three explicit examples, we give a natural interpretation in terms of spin-0,-1 and -2 interacting field theories in 5D. These are organically connected via the classical double copy, which therefore preserves maximal superintegrability.
AB - Which relativistic field theories give rise to Kepler dynamics in the two-body problem? We consider a class of Hamiltonians that is the unique relativistic extension of the Kepler problem preserving its so(4) algebra, and have orbits related through time reparametrisation to orbits of the original Kepler problem. For three explicit examples, we give a natural interpretation in terms of spin-0,-1 and -2 interacting field theories in 5D. These are organically connected via the classical double copy, which therefore preserves maximal superintegrability.
KW - Black Holes
KW - Classical Theories of Gravity
KW - Space-Time Symmetries
UR - http://www.scopus.com/inward/record.url?scp=85202149643&partnerID=8YFLogxK
U2 - 10.1007/JHEP08(2024)216
DO - 10.1007/JHEP08(2024)216
M3 - Article
AN - SCOPUS:85202149643
SN - 1126-6708
VL - 2024
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 216
ER -