An Exact Black Hole Scattering Amplitude

Fuente: arXiv
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Autori principali: Guevara, Alfredo, Kol, Uri, Tran, Huy
Natura: Preprint
Pubblicazione: 2024
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author Guevara, Alfredo
Kol, Uri
Tran, Huy
author_facet Guevara, Alfredo
Kol, Uri
Tran, Huy
contents General Relativity famously predicts precession of orbital motions in the Schwarzschild metric. In this paper we show that by adding a NUT charge $N = iM$ the precession vanishes to all orders in $G$ even for rotating black holes. Moreover, we conjecture a generalization of the eikonal formula and show that the classical integrable trajectories determine the full quantum amplitude for this black hole, by means of exponentiation of the Post-Minkowskian radial action. Several consequences of integrability in self-dual gravity are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2412_19627
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An Exact Black Hole Scattering Amplitude
Guevara, Alfredo
Kol, Uri
Tran, Huy
High Energy Physics - Theory
General Relativity and Quantum Cosmology
General Relativity famously predicts precession of orbital motions in the Schwarzschild metric. In this paper we show that by adding a NUT charge $N = iM$ the precession vanishes to all orders in $G$ even for rotating black holes. Moreover, we conjecture a generalization of the eikonal formula and show that the classical integrable trajectories determine the full quantum amplitude for this black hole, by means of exponentiation of the Post-Minkowskian radial action. Several consequences of integrability in self-dual gravity are discussed.
title An Exact Black Hole Scattering Amplitude
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2412.19627