The gravitational field of a massless particle

Aichelburg, P. C.; Sexl, Roman U.

doi:10.1007/bf02753774

Cited by 140 publications

(249 citation statements)

References 2 publications

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“…The reduced-action model contains the longitudinal fields h ++ (h −− ) characterized by AS shock waves centered on the particles with profile functions 2πRa(x) (2πRā(x)); furthermore, it generates a gravitational wave also with a field h = ∇ 2 φ defined by the H-diagram. The longitudinal field is here calculated in the improved eikonal representation in section 3 and found to be consistent with AS waves [11] which are delayed in time and rotated in space, as suggested in section. 2.…”

Section: Jhep10(2014)085mentioning

confidence: 56%

“…We see that it consists of two Aichelburg-Sexl (AS) shock waves [11] travelling against each other. If only one is present -the one at x + = 0, say -, a test particle impinging on it will acquire a shift in the x − direction:…”

Section: Scattering Description By Trajectory Shiftsmentioning

confidence: 98%

“…By comparison, the usual two-dimensional representation is inadequate outside the regime of very small angle scattering, and in particular in the collapse region. In fact, the energy-momentum of the impinging particles is taken to be an external light-like source -without any deflection -which generates gravitational fields characterized by Aichelburg-Sexl-like shock waves [11]. However, the resulting action predicts the Einstein deflection angle [1][2][3] and corrections to it [6], at variance with the original assumption of frozen sources.…”

Section: Jhep10(2014)085mentioning

confidence: 98%

“…where the metric component h −− = (κ/2)h ++ = 2πRa(x)δ(x − ) are of AS type [11] while the transverse field Φ has support inside the whole light-wedges x + x − ≥ 0. The latter propagation, of retarded plus advanced type, corresponds to the principal value part of the Feynman propagators, as is appropriate for the real part of the amplitude.…”

Section: The Reduced-action Without Rescatteringmentioning

confidence: 99%

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Rescattering corrections and self-consistent metric in planckian scattering

Ciafaloni

Colferai

2014

J. High Energ. Phys.

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Starting from the ACV approach to transplanckian scattering, we present a development of the reduced-action model in which the (improved) eikonal representation is able to describe particles' motion at large scattering angle and, furthermore, UV-safe (regular) rescattering solutions are found and incorporated in the metric. The resulting particles' shock-waves undergo calculable trajectory shifts and time delays during the scattering process -which turns out to be consistently described by both action and metric, up to relative order R 2 /b 2 in the gravitational radius over impact parameter expansion. Some suggestions about the role and the (re)scattering properties of irregular solutionsnot fully investigated here -are also presented.

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Section: Jhep10(2014)085mentioning

confidence: 56%

Section: Scattering Description By Trajectory Shiftsmentioning

confidence: 98%

Section: Jhep10(2014)085mentioning

confidence: 98%

Section: The Reduced-action Without Rescatteringmentioning

confidence: 99%

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Rescattering corrections and self-consistent metric in planckian scattering

Ciafaloni

Colferai

2014

J. High Energ. Phys.

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“…In this particular process the effective geometry turns out to be, to leading order, the wellknown Aichelburg-Sexl (AS) shock-wave metric [11] produced by an energetic pointlike massless particle. This simple and intuitive interpretation unfortunately fails beyond the leading-eikonal (or small deflection angle) approximation [4,5].…”

Section: Jhep11(2010)100mentioning

confidence: 99%

High-energy string-brane scattering: leading eikonal and beyond

D’Appollonio

Vecchia

Russo

et al. 2010

J. High Energ. Phys.

122

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We extend previous techniques for calculations of transplanckian-energy stringstring collisions to the high-energy scattering of massless closed strings from a stack of N Dp-branes in Minkowski spacetime. We show that an effective non-trivial metric emerges from the string scattering amplitudes by comparing them against the semiclassical dynamics of high-energy strings in the extremal p-brane background. By changing the energy, impact parameter and effective open string coupling λ = gN , we are able to explore various interesting regimes and to reproduce classical expectations, including tidal-force excitations, even beyond the leading-eikonal approximation.

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Local Propagation of Impulsive GravitationalWaves

Luk

Rodnianski²

2014

Comm Pure Appl Math

138

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Abstract. In this paper, we initiate the rigorous mathematical study of the problem of impulsive gravitational spacetime waves. We construct such spacetimes as solutions to the characteristic initial value problem of the Einstein vacuum equations with a data curvature delta singularity. We show that in the resulting spacetime, the delta singularity propagates along a characteristic hypersurface, while away from that hypersurface the spacetime remains smooth. Unlike the known explicit examples of impulsive gravitational spacetimes, this work in particular provides the first construction of an impulsive gravitational wave of compact extent and does not require any symmetry assumptions. The arguments in the present paper also extend to the problem of existence and uniqueness of solutions to a larger class of non-regular characteristic data.

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The gravitational field of a massless particle

Cited by 140 publications

References 2 publications

Rescattering corrections and self-consistent metric in planckian scattering

Rescattering corrections and self-consistent metric in planckian scattering

High-energy string-brane scattering: leading eikonal and beyond

Local Propagation of Impulsive GravitationalWaves

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