Article Dans Une Revue Physical Review Letters Année : 2024

Schwarzschild metric from Scattering Amplitudes to all orders in $G_N$

Résumé

We apply a formulation of Einstein's general relativity with only cubic interactions for deriving the metric of a Schwarzschild black hole to all orders in perturbation theory. This cubic interactions formulation coupled to effective worldline action of a massive point particle allows to derive a recursion relation for the form factors of the off-shell graviton emission current. The unique solution to the recursion relation leads to the Schwarzschild black-hole solution in four dimensions. This provides the first derivation of the black hole metric from a matter source to all orders in perturbation theory from an amplitude approach.

Dates et versions

hal-04603646 , version 1 (06-06-2024)

Identifiants

Citer

Stavros Mougiakakos, Pierre Vanhove. Schwarzschild metric from Scattering Amplitudes to all orders in $G_N$. Physical Review Letters, 2024, 133 (11), pp.111601. ⟨10.1103/PhysRevLett.133.111601⟩. ⟨hal-04603646⟩
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