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We propose a new approach to the quasitopological theory of gravity based on a modified classical double--copy construction. Focusing on static, spherically symmetric configurations, we show that all vacuum solutions of $D$--dimensional…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Valeri P. Frolov

The double copy relates scattering amplitudes and classical solutions in non-abelian gauge theories and gravity. As such, it is usually expressed in the conventional second-order formalisms in both theories corresponding to standard…

High Energy Physics - Theory · Physics 2025-09-29 Nathan Moynihan , Michael L. Reichenberg Ashby , Chris D. White

We find static spherically symmetric solutions of scale invariant $R^2$ gravity. The latter has been shown to be equivalent to General Relativity with a positive cosmological constant and a scalar mode. Therefore, one expects that solutions…

High Energy Physics - Theory · Physics 2015-02-23 Alex Kehagias , Costas Kounnas , Dieter Lust , Antonio Riotto

We study a gravity theory where a scalar field with potential, beyond its minimal coupling, is also coupled through a non-minimal derivative coupling with the torsion scalar which is the teleparallel equivalent of Einstein gravity. This…

High Energy Physics - Theory · Physics 2015-10-14 Georgios Kofinas

Advances in our understanding of perturbation theory suggest the existence of a correspondence between classical general relativity and Yang-Mills theory. A concrete example of this correspondence, which is known as the double copy, was…

High Energy Physics - Theory · Physics 2016-06-29 Andres Luna , Ricardo Monteiro , Isobel Nicholson , Donal O'Connell , Chris D. White

The Newman-Penrose map, which is closely related to the classical double copy, associates certain exact solutions of Einstein's equations with self-dual solutions of the vacuum Maxwell equations. Here we initiate an extension of the…

High Energy Physics - Theory · Physics 2023-09-20 Kara Farnsworth , Michael Graesser , Gabriel Herczeg

The electrogravity transformation is defined by an interchange of the ``active'' and ``passive'' electric parts of the Riemann tensor. Such a transformation has been used to find new solutions that are ``dual'' to the Kerr family of black…

High Energy Physics - Theory · Physics 2009-10-31 Sukanta Bose , Naresh Dadhich

We show that, unlike vacuum General Relativity, Einstein-scalar theories allow balanced static, neutral, asymptotically flat, double-black hole solutions, for scalar field models minimally coupled to gravity, with appropriate…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Carlos A. R. Herdeiro , Eugen Radu

We describe a procedure for locating black hole horizons in Kerr-Schild spacetimes in the double copy paradigm. Using only single- and zeroth-copy data on flat spacetime, our procedure predicts the existence of trapped surfaces in the…

High Energy Physics - Theory · Physics 2025-04-10 Samarth Chawla , Cynthia Keeler

We study the loss of hyperbolicity of perturbation equations for black hole solutions of scalar Gauss-Bonnet gravity. We consider a class of coupling functions allowing for static black hole solutions with arbitrary small masses. For masses…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Dario Rossi , Leonardo Gualtieri , Thomas P. Sotiriou

The Weyl double copy relates exact solutions in general relativity to exact solutions in gauge theory, formulated in the spinorial language. To date, the Weyl double copy is understood and employed only for vacuum spacetimes, and hence only…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Damien A. Easson , Tucker Manton , Andrew Svesko

We extend the derivation of mass formulas for stationary axisymmetric asymptotically locally flat solutions with string singularities on the polar axis to general supergravity actions containing vector and scalar fields. It is based on the…

General Relativity and Quantum Cosmology · Physics 2024-05-30 Igor Bogush , Dmitri Gal'tsov , Gérard Clément

We explain how the lowest-order classical gravitational radiation produced during the inelastic scattering of two Schwarzschild black holes in General Relativity can be obtained from a tree scattering amplitude in gauge theory coupled to…

High Energy Physics - Theory · Physics 2018-04-04 Andrés Luna , Isobel Nicholson , Donal O'Connell , Chris D. White

Similarity in the structure of scattering amplitudes in Yang-Mills theories and General Relativity led to the idea that graviton could be described as the double copy of a vector gauge field. In this letter we discuss a realization of this…

High Energy Physics - Theory · Physics 2022-06-08 Euro Spallucci , Anais Smailagic

In a recent paper we showed that the collapse to a black hole in one-parameter families of initial data for massless, minimally coupled scalar fields in spherically symmetric semi-classical loop quantum gravity exhibited a universal mass…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Florencia Benítez , Rodolfo Gambini , Steven L. Liebling , Jorge Pullin

It has recently been proved that a third law of black hole mechanics does not hold for Einstein-Maxwell theory coupled to a massless charged scalar field: there exist solutions that describe gravitational collapse to form an exactly…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Harvey S. Reall

We introduce a two-parameter static, nonspherically-symmetric black hole solution in the Einstein theory of gravity coupled with a massless scalar field. The scalar field depends only on the polar coordinate $\theta$ in the spherical…

General Relativity and Quantum Cosmology · Physics 2025-02-21 S. Habib Mazharimousavi

We analyze a supergravity theory coupled to a dilaton and superconformal matters in two dimensions. This theory is classically soluble and we find all the solutions appeared in Callan, Giddings, Harvey and Strominger's dilatonic gravity…

High Energy Physics - Theory · Physics 2009-10-22 Shin'ichi Nojiri , Ichiro Oda

Spherically symmetric static topological black hole solutions associated with some extended higher order gravitational models in the presence of a Maxwell-field are derived by means of simple Lagrangian method, based on spherically…

General Relativity and Quantum Cosmology · Physics 2015-09-21 Guido Cognola , Emilio Elizalde , Lorenzo Sebastiani , Sergio Zerbini

A class of exact static spherically symmetric solutions of the Einstein-Maxwell gravity coupled to a massless scalar field has been obtained in harmonic coordinates of the Minkowski space-time. For each value of the coupling constant $a$,…

High Energy Physics - Theory · Physics 2015-06-26 Slava G. Turyshev