Eikonal Scattering in Kaluza-Klein Gravity

Abstract

We study eikonal scattering in the context of Kaluza-Klein theory by considering a massless scalar field coupled to Einstein's gravity in 5D compactified to 4D on a manifold $M_4\times S^1$. We also examine various different kinematic limits of the resulting eikonal. In the ultra-relativistic scattering case we find correspondence with the time delay calculated for a massless particle moving in a compactified version of the Aichelburg-Sexl shock-wave geometry. In the case of a massless Kaluza-Klein scalar scattering off a heavy Kaluza-Klein mode a similar calculation yields the deflection angle of a massless particle in the geometry of an extremal, $Q=2M$, Einstein-Maxwell-dilaton 4D black hole. We also discuss a related case in the scattering of dilatons off a large stack of $D0$-branes or $D6$-branes in dimensionally reduced $D=10$ type IIA string theory.

27 pages, 4 figures

References in corpus (27)

• Kaluza-Klein Gravity
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• Amplitudes, Observables, and Classical Scattering
• Reissner-Nordstrom black hole lensing
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• High-energy gravitational scattering and the general relativistic two-body problem
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• Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
• Black and super p-branes in diverse dimensions
• Rotating Dilaton Black Holes
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• Weak field limit of Reissner-Nordstrom black hole lensing
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• High energy scattering in gravity and supergravity
• Exact Gravitational Shockwaves and Planckian Scattering on Branes
• High-energy string-brane scattering: leading eikonal and beyond
• The Subleading Eikonal in Supergravity Theories
• Probing Fuzzballs with Particles, Waves and Strings
• D1D5 microstate geometries from string amplitudes
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Cited by in corpus (8)

• Revisiting the 2PM eikonal and the dynamics of binary black holes
• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Second-order Post-Minkowskian scattering in arbitrary dimensions
• High Energy Scattering in Perturbative Quantum Gravity at Next to Leading Power
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity at subleading level
• Graviton particle statistics and coherent states from classical scattering amplitudes
• Aspects of High Energy Scattering