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Related papers: Celestial Eikonal Amplitudes in the Near-Horizon R…

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The 4D 4-point scattering amplitude of massless scalars via a massive exchange is expressed in a basis of conformal primary particle wavefunctions. This celestial amplitude is expanded in a basis of 2D conformal partial waves on the unitary…

High Energy Physics - Theory · Physics 2022-01-12 Alexander Atanasov , Walker Melton , Ana-Maria Raclariu , Andrew Strominger

We study the magnitude of semiclassical gravity effects near the formation of a black-hole horizon in spherically-symmetric spacetimes. As a probe for these effects we use a quantised massless scalar field. Specifically, we calculate two…

General Relativity and Quantum Cosmology · Physics 2019-11-07 Carlos Barceló , Valentin Boyanov , Raúl Carballo-Rubio , Luis J. Garay

We consider self-interacting scalar fields coupled to gravity. Two classes of exact solutions to Einstein's equations are obtained: the first class corresponds to the minimal coupling, the second one to the conformal coupling. One of the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Oleg A. Fonarev

We utilize three complementary approaches to pinpoint the exact form of scattering amplitudes in Schwarzschild spacetime. First, we solve the Regge-Wheeler equation perturbatively in the small-frequency regime. We use the obtained solutions…

High Energy Physics - Theory · Physics 2024-09-26 Gleb Aminov , Paolo Arnaudo

We discuss non-relativistic scattering by a Newtonian potential. We show that the gray-body factors associated with scattering by a black hole exhibit the same functional dependence as scattering amplitudes in the Newtonian limit, which…

High Energy Physics - Theory · Physics 2007-05-23 George Siopsis

A new spherically-symmetric solution for a gravitational field is found in the conformally-unimodular metric. It is shown, that the surface of the black hole horizon in the standard Schwarzschild metric can be squeezed to a point by…

General Relativity and Quantum Cosmology · Physics 2020-08-24 Sergey L. Cherkas , Vladimir L. Kalashnikov

Celestial amplitudes are multiple Mellin transforms w.r.t. conformal dimensions. For arbitrary multiplicity $n$ of massless states in sufficiently high space--time dimension $D$ we perform all Mellin integrations and find an associahedron…

High Energy Physics - Theory · Physics 2025-12-19 Jin Dong , Stephan Stieberger

We employ the recently proposed formalism of the "horizon wave-function" to investigate the emergence of a horizon in models of black holes as Bose-Einstein condensates of gravitons. We start from the Klein-Gordon equation for a massless…

High Energy Physics - Theory · Physics 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi

Celestial amplitudes may be decomposed as weighted integrals of AdS$_3$-Witten diagrams associated to each leaf of a hyperbolic foliation of spacetime. We show, for the Kleinian three-point MHV amplitude, that each leaf subamplitude is…

High Energy Physics - Theory · Physics 2024-08-26 Walker Melton , Atul Sharma , Andrew Strominger

This paper studies gravitational collapse of a complex scalar field at the threshold for black hole formation, assuming that the collapse is spherically symmetric and continuously self-similar. A new solution of the coupled Einstein-scalar…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Eric W. Hirschmann , Douglas M. Eardley

We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio M. C. V. Goncalves

Black holes, as classical solutions of General Relativity, are expected to exhibit quantum properties near their horizons. In this paper, we examine the behavior of quantum particles near the Schwarzschild horizon by solving the…

General Physics · Physics 2025-10-07 Merab Gogberashvili , Tinatin Tsiskaridze

We revisit the prescription commonly used to define holographic correlators on the celestial sphere of Minkowski space as an integral transform of flat space scattering amplitudes, known as celestial amplitudes. We propose a resolution to a…

High Energy Physics - Theory · Physics 2025-07-23 Charlotte Sleight , Massimo Taronna

By exploiting the Kerr-Schild gauge, we study the scattering of a massive (charged) scalar off a Kerr-Newman black hole. In this gauge, the interactions between the probe and the target involve only tri-linear vertices. We manage to write…

High Energy Physics - Theory · Physics 2023-09-06 Massimo Bianchi , Claudio Gambino , Fabio Riccioni

A relativistic quantum model of particle scattering near the horizon of a microscopic black hole unifies gravity and the harmonic-oscillator force. The model is obtained by modifying a harmonic-oscillator nonstandard Lagrangian for a closed…

High Energy Physics - Theory · Physics 2007-05-23 Marcia J. King

We employ the curvature expansion of the quantum effective action for gravity-matter systems to construct graviton-mediated scattering amplitudes for non-minimally coupled scalar fields in a Minkowski background. By design, the formalism…

High Energy Physics - Theory · Physics 2020-12-30 Tom Draper , Benjamin Knorr , Chris Ripken , Frank Saueressig

We obtain exact expressions for a general class of correlation functions in the 1D quantum mechanical model described by the Schwarzian action, that arises as the low energy limit of the SYK model. The answer takes the form of an integral…

High Energy Physics - Theory · Physics 2017-09-28 Thomas G. Mertens , Gustavo J. Turiaci , Herman L. Verlinde

In a recent work, it has been pointed out that certain observables of the massless scalar field theory in a static spherically symmetric background exhibit a universal behavior at large distances. More precisely, it was shown that, unlike…

High Energy Physics - Theory · Physics 2008-11-26 A. Garbarz , G. Giribet , F. D. Mazzitelli

In any conformally invariant gravitational theory, the space of exact solutions is greatly enlarged. Therefore, we cannot exclude the Weyl's conformal invariance to be spontaneously broken to spherically symmetric vacuum solutions that…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Leonardo Modesto , Ali Akil , Cosimo Bambi

We numerically study the gravitational collapse of a massless scalar field with spherical symmetry in Einstein-aether theory, and show that apparent, spin-0 and dynamical universal horizons (dUHs) can be all formed. The spacetime and the…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Madhurima Bhattacharjee , Shinji Mukohyama , Mew-Bing Wan , Anzhong Wang
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