Post-Minkowskian Hamiltonians in modified theories of gravity
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Post-Minkowskian Hamiltonians in modified theories of gravity. / Cristofoli, Andrea.
In: Physics Letters B, Vol. 800, 135095, 10.01.2020.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Post-Minkowskian Hamiltonians in modified theories of gravity
AU - Cristofoli, Andrea
PY - 2020/1/10
Y1 - 2020/1/10
N2 - The aim of this note is to describe the computation of post-Minkowskian Hamiltonians in modified theories of gravity. Exploiting a recent relation between scattering amplitudes of massive scalars and potentials for relativistic point-particles we derive a contribution to post-Minkowskian Hamiltonians at second order in the Newton’s constant coming from R3 modifications in General Relativity. Using this result we calculate the associated contribution to the scattering angle for binary black holes at second post-Minkowskian order, showing agreement in the non-relativistic limit with previous results for the bending angle of a massless particle around a static massive source in R3 theories.
AB - The aim of this note is to describe the computation of post-Minkowskian Hamiltonians in modified theories of gravity. Exploiting a recent relation between scattering amplitudes of massive scalars and potentials for relativistic point-particles we derive a contribution to post-Minkowskian Hamiltonians at second order in the Newton’s constant coming from R3 modifications in General Relativity. Using this result we calculate the associated contribution to the scattering angle for binary black holes at second post-Minkowskian order, showing agreement in the non-relativistic limit with previous results for the bending angle of a massless particle around a static massive source in R3 theories.
U2 - 10.1016/j.physletb.2019.135095
DO - 10.1016/j.physletb.2019.135095
M3 - Journal article
VL - 800
JO - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology
JF - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology
SN - 0370-2693
M1 - 135095
ER -
ID: 245842636