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Using a C-metric-type ansatz, we obtain an exact solution to conformal gravity coupled to a Maxwell electromagnetic field. The solution resembles a C-metric spacetime carrying an electromagnetic charge. The metric is cast in a factorised…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Yen-Kheng Lim

We present a generalisation of the charged C-metric conformally coupled with a scalar field in the presence of a cosmological constant. The solution is asymptotically flat or a constant curvature spacetime. The spacetime metric has the…

General Relativity and Quantum Cosmology · Physics 2009-09-29 C. Charmousis , T. Kolyvaris , E. Papantonopoulos

In Einstein-Maxwell gravity with a conformally coupled scalar field, the black hole found by Bocharova, Bronnikov, Melnikov, and Bekenstein breaks when embedded in the external magnetic field of the Melvin universe. The situation improves…

General Relativity and Quantum Cosmology · Physics 2013-12-02 Marco Astorino

The Janis-Newman-Winicour metric is a solution of Einstein's gravity minimally coupled to a real massless scalar field. The $\gamma$-metric is instead a vacuum solution of Einstein's gravity. These spacetimes have no horizon and possess a…

General Relativity and Quantum Cosmology · Physics 2018-03-08 Hrishikesh Chakrabarty , Carlos A. Benavides-Gallego , Cosimo Bambi , Leonardo Modesto

We construct black hole solutions in four-dimensional quadratic gravity, supported by a scalar field conformally coupled to quadratic terms in the curvature. The conformal matter Lagrangian is constructed with powers of traces of a…

High Energy Physics - Theory · Physics 2020-05-20 Nicolas Caceres , Jose Figueroa , Julio Oliva , Marcelo Oyarzo , Ricardo Stuardo

A new class of conformal field theories is presented, where the background gravitational field is conformally flat. Conformally flat (CF) spacetimes enjoy conformal properties quite similar to the ones of flat spacetime. The conformal…

High Energy Physics - Theory · Physics 2020-07-01 Enrique Alvarez , Raquel Santos-Garcia

We naturally extend the theory of gravity with a conformally coupled scalar field by only requiring conformal invariance of the scalar field equation of motion and not of the action. The classically extended theory incorporates a…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Pedro G. S. Fernandes

A new class of four-dimensional, hairy, stationary solutions of the Einstein-Maxwell-Lambda system with a conformally coupled scalar field is constructed in this paper. The metric belongs to the Plebanski-Demianski family and hence its…

High Energy Physics - Theory · Physics 2015-05-13 Andres Anabalon , Hideki Maeda

It is explicitly shown that part of the C-metric space-time inside the black hole horizon may be interpreted as the interaction region of two colliding plane waves with aligned linear polarization, provided the rotational coordinate is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. B. Griffiths , R. G. Halburd

Static spherically symmetric solutions for conformal gravity in three dimensions are found. Black holes and wormholes are included within this class. Asymptotically the black holes are spacetimes of arbitrary constant curvature, and they…

High Energy Physics - Theory · Physics 2009-07-28 Julio Oliva , David Tempo , Ricardo Troncoso

In this paper, we investigate static spherically symmetric solutions in the context of Conformal Killing Gravity, a recently proposed modified theory of gravity that offers a new approach to the cosmological constant problem. Coupling this…

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 study the three dimensional Einstein gravity conformally coupled to a scalar field. Solutions of this theory are geometries with vanishing scalar curvature. We consider solutions with a constant scalar field which corresponds to an…

High Energy Physics - Theory · Physics 2012-11-08 M. Hasanpour , F. Loran , H. Razaghian

We present and analyze an exact 5-dimensional vacuum solution of Einstein equation with non-negative cosmological constant written in a C-metric like coordinate. The metric does not contain any black hole horizons in it, but has two…

High Energy Physics - Theory · Physics 2009-10-20 Liu Zhao , Bin Zhu

For specifically coupled values of the quadratic gravity parameters, we present a fully explicit static spherically symmetric solution. It contains the central singularity surrounded by the black-hole or the cosmological horizon for the…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Simon Knoska , David Kofron , Robert Svarc

We revisit the one-parameter generalization of the C-metric derived by Ernst, which solves the vacuum Einstein equations. Resolving conflicting claims in the literature, we determine the correct value of the parameter that ensures the…

General Relativity and Quantum Cosmology · Physics 2025-11-10 M. M. Akbar , C. P. Brewer , S. M. Modumudi

The cylindrically-symmetric static vacuum equations of Conformal Gravity are solved for the case of additional boost symmetry along the axis. We present the complete family of solutions which describe the exterior gravitational field of…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Y. Verbin , Y. Brihaye

This note includes results of a study of stationary spherically symmetric ``dark holes'', objects merging central black holes and peripheral scalar graviton dark haloes arising in the framework of the modified gravity -- the quartet-metric,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Yu. F. Pirogov , O. V. Zenin

We construct a bulk spacetime from a boundary CFT, $O(N)$ free scalar model, at finite temperature using a smearing technique, called a conformal flow. The bulk metric is constructed as an information metric associated with the boundary…

High Energy Physics - Theory · Physics 2023-08-03 Sinya Aoki , János Balog , Kiyoharu Kawana , Kengo Shimada

While conformal transformations in metric scalar-tensor theories recover General Relativity, this feature is notably absent in standard non-metricity-based theories. We demonstrate that by introducing the boundary term C, a non-metricity…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Ghulam Murtaza , Avik De , Tee-How Loo , Andronikos Paliathanasis
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