The Reissner-Nordström-Tangherlini solution from scattering amplitudes of charged scalars

@article{DOnofrio2022TheRS,
  title={The Reissner-Nordstr{\"o}m-Tangherlini solution from scattering amplitudes of charged scalars},
  author={Simone D'Onofrio and Federica Fragomeno and Claudio Gambino and Fabio Riccioni},
  journal={Journal of High Energy Physics},
  year={2022},
  volume={2022}
}
The metric and the electromagnetic potential generated by a static, spherically symmetric charged massive object in any dimension are given by the Reissner-Nordström-Tangherlini solution. We derive the expansion of this solution up to third post-Minkowskian order by computing the classical contribution of scattering amplitudes describing the emission of either a graviton or a photon from a massive charged scalar field up to two loops. In four and five dimensions these amplitudes develop… 
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