Quantum gravity on the black hole horizon

Abstract

We study scattering on the black hole horizon in a partial wave basis, with an impact parameter of the order of the Schwarzschild radius or less. This resembles the strong gravity regime where quantum gravitational effects appear. The scattering is governed by an infinite number of virtual gravitons exchanged on the horizon. Remarkably, they can all be summed non-perturbatively in $\hslash$ and $\gamma \sim M_{Pl}/M_{BH}$. These results generalise those obtained from studying gravitational backreaction. Unlike in the eikonal calculations in flat space, the relevant centre of mass energy of the collisions is not necessarily Planckian; instead it is easily satisfied, $s\gg {\gamma }^2{M}_{Pl}^2$, for semi-classical black holes. The calculation lends further support to the scattering matrix approach to quantum black holes, and is a second-quantised generalisation of the same.

arXiv comment9 pages. v2: Typos corrected. v3: Published version

References in corpus (14)

• Classical Black Hole Production in High-Energy Collisions
• Gravitational perturbations of the Schwarzschild spacetime: A practical covariant and gauge-invariant formalism
• A Model for High Energy Scattering in Quantum Gravity
• Eikonal Quantum Gravity and Planckian Scattering
• Gauge-invariant Non-spherical Metric Perturbations of Schwarzschild Black-Hole Spacetimes
• Scattering at Planckian Energies
• Black Hole Horizons and Complementarity
• Black hole unitarity and antipodal entanglement
• The Black Hole S-Matrix from Quantum Mechanics
• High-energy gravitational scattering and black hole resonances
• Planckian Scattering and Black Holes
• Diagonalizing the Black Hole Information Retrieval Process
• Non-Commutative Black Hole Algebra and String Theory from Gravity
• Black Hole S-matrix for a scalar field

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• Phenomenology of Holography via Quantum Coherence on Causal Horizons
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• All near-horizon symmetries of the Schwarzschild black hole in linearised gravity
• Gravity with Perimeter Action and Gravitational Singularities