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One of the Holy Grails of observational astronomy is to confirm the prediction that black holes in the Universe are described by the Kerr solution of Einstein's field equations of general relativity. This Topical Collection provides a…

General Relativity and Quantum Cosmology · Physics 2019-11-05 Emanuele Berti

In this text we outline the motivation for developping a quantum $S$-matrix approach for the classical gravitational two-body scattering. As an application we briefly present the derivation of black-hole metrics in various dimensions.

General Relativity and Quantum Cosmology · Physics 2021-04-21 Pierre Vanhove

Unlike in the Schwarzschild black hole background, gravitational perturbations in a Kerr black hole background can not be decomposed into simple tensor harmonics in the time domain. Here, we make mode decompositions only in the azimuthal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos O. Lousto , Hiroyuki Nakano

We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm…

High Energy Physics - Theory · Physics 2021-08-20 N. E. J. Bjerrum-Bohr , P. H. Damgaard , L. Planté , P. Vanhove

In this second paper of our series started with \cite{Berens2024}, we investigate linearized gravitational perturbations of a rotating Kerr black hole in a non-asymptotically flat spacetime with (anti-)de Sitter boundary conditions. Here,…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Roman Berens , Trevor Gravely , Alexandru Lupsasca

We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles. For general relativity, we obtain analytic…

High Energy Physics - Theory · Physics 2019-01-31 Clifford Cheung , Ira Z. Rothstein , Mikhail P. Solon

We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic scalar curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus an $R^{2}$ contribution and a term of the…

General Relativity and Quantum Cosmology · Physics 2022-12-06 S. G. Vilhena , L. G. Medeiros , R. R. Cuzinatto

The Kerr spacetime is one of the most widely known solutions to Einstein's vacuum field equations and is commonly used to describe a black hole with mass $m$ and spin $a$. Astrophysical observations in the electromagnetic spectrum as well…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Torben C. Frost

We derive the gravitational field and the spacetime metric generated by sources in quantum superposition of different locations. We start by working in a Newtonian approximation, in which the effective gravitational potential is computed as…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Ali Akil , Mariano Cadoni , Leonardo Modesto , Mauro Oi , Andrea Pierfrancesco Sanna

We compute the vacuum metric generated by a generic rotating object in arbitrary dimensions up to third post-Minkowskian order by computing the classical contribution of scattering amplitudes describing the graviton emission by massive…

High Energy Physics - Theory · Physics 2024-07-01 Claudio Gambino , Paolo Pani , Fabio Riccioni

By combining the KMOC-formalism with the exponential representation of the scattering matrix we show that the two-body scattering angle is given by the corresponding matrix element of the exponential representation. This holds to all orders…

High Energy Physics - Theory · Physics 2023-08-22 Poul H. Damgaard , Elias Roos Hansen , Ludovic Planté , Pierre Vanhove

Recently, we introduced the "Newman-Penrose map," a novel correspondence between a certain class of solutions of Einstein's equations and self-dual solutions of the vacuum Maxwell equations, which we showed was closely related to the…

High Energy Physics - Theory · Physics 2022-10-26 Kara Farnsworth , Michael L. Graesser , Gabriel Herczeg

In this paper we will review some facts, both classical and recent, concerning the geometry and analysis of the Kerr and related black hole spacetimes. This includes the analysis of test fields on these spacetimes. Central to our analysis…

General Relativity and Quantum Cosmology · Physics 2015-11-30 Lars Andersson , Thomas Bäckdahl , Pieter Blue

Quantum higher-spin theory applied to Compton amplitudes has proven to be surprisingly useful for elucidating Kerr black hole dynamics. Here we apply the framework to compute scattering amplitudes and observables for a binary system of two…

High Energy Physics - Theory · Physics 2025-06-27 Lara Bohnenblust , Lucile Cangemi , Henrik Johansson , Paolo Pichini

We consider cosmological scenarios based on $f(R,T)$ theories of gravity ($R$ is the Ricci scalar and $T$ is the trace of the energy-momentum tensor) and numerically reconstruct the function $f(R,T)$ which is able to reproduce the same…

General Relativity and Quantum Cosmology · Physics 2015-03-19 M. J. S. Houndjo , Oliver F. Piattella

We compute the far-field time-domain waveform of the gravitational waves produced in the scattering of two spinning massive objects. The results include linear-in-spin ($S$) couplings and first-order gravitational corrections ($G^3$), and…

High Energy Physics - Theory · Physics 2023-12-25 Lara Bohnenblust , Harald Ita , Manfred Kraus , Johannes Schlenk

We confirm the equivalence of the Schr\"odinger representation and the holomorphic one, based on previous results of the General Boundary Formulation (GBF) of quantum field theory. On a wide class of curved spacetimes, we consider real…

Mathematical Physics · Physics 2017-11-02 Daniele Colosi , Max Dohse

In this work we obtain a numerical self-consistent spherical solution of the semiclassical Einstein equations representing the evaporation of a trapped region which initially has both an outer and an inner horizon. The classical matter…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Valentin Boyanov , David Hilditch , Artur Semião

The subject of this thesis is the coupling of quantum fields to a classical gravitational background in a semiclassical fashion. It contains a thorough introduction into quantum field theory on curved spacetime with a focus on the…

Mathematical Physics · Physics 2015-03-09 Daniel Siemssen

The double copy is a much-studied relationship between gauge theory and gravity amplitudes. Recently, this was generalised to an infinite family of classical solutions to Einstein's equations, namely stationary Kerr-Schild geometries. In…

High Energy Physics - Theory · Physics 2015-12-09 A. Luna , R. Monteiro , D. O'Connell , C. D. White