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We study various aspects of four dimensional Einstein-Maxwell multicentred gravitational instantons. These are half-BPS Riemannian backgrounds of minimal N=2 supergravity, asymptotic to R^4, R^3 x S^1 or AdS_2 x S^2. Unlike for the…

High Energy Physics - Theory · Physics 2008-11-26 Maciej Dunajski , Sean A. Hartnoll

Starting from the classical action for a spin-zero particle in a D-dimensional anti-Sitter (AdS) spacetime, we recover the Breitenlohner-Freedman bound by quantization. For D=4,5,7, and using an Sl(2;K) spinor notation for K=R,C,H, we find…

High Energy Physics - Theory · Physics 2017-04-12 Alex S. Arvanitakis , Alec E. Barns-Graham , Paul K. Townsend

In this article we develop a method of finding the static axisymmetric space-time corresponding to any given set of multipole moments. In addition to an implicit algebraic form for the general solution, we also give a power series…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Thomas Backdahl , Magnus Herberthson

We consider the four-dimensional Einstein-Klein-Gordon-AdS system with conformal mass subject to the Robin boundary conditions at infinity. Above a critical value of the Robin parameter, at which the AdS spacetime goes linearly unstable, we…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Piotr Bizoń , Dominika Hunik-Kostyra , Maciej Maliborski

Theories of non-linear electrodynamics naturally describe deviations from Maxwell's theory in the strong field regime. Among these, of special interest is the recently discovered ModMax electrodynamics, which is a unique 1-parametric…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Jose Barrientos , Adolfo Cisterna , David Kubiznak , Julio Oliva

We describe a number of striking features of a class of smooth solitons in gauged and ungauged minimal supergravity in five dimensions. The solitons are globally asymptotically flat or asymptotically AdS without any Kaluza-Klein directions…

High Energy Physics - Theory · Physics 2009-12-17 Geoffrey Compère , Keith Copsey , Sophie de Buyl , Robert B. Mann

It is proven that a solution to the Einstein-Maxwell equations whose gravitational and electromagnetic radiation fields vanish is in fact stationary in a neighbourhood of spatial infinity. That is, if the Weyl and Faraday tensors decay…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Rosemberg Toalá Enríquez

In General Relativity coupled to a non-linear electromagnetic field, together with a negative cosmological constant, we obtain the general static spherical symmetric black hole solution with magnetic charges, which is asymptotic to anti-de…

High Energy Physics - Theory · Physics 2017-05-24 Zhong-Ying Fan

We revisit and improve the analytic study arXiv:1804.03462 of spherically symmetric but dynamical black holes in Einstein's gravity coupled to a real scalar field. We introduce a series expansion in a small parameter $\epsilon$ that…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Aaron Beyen , Efe Hamamcı , Kasper Meerts , Dieter Van den Bleeken

We construct infinite-dimensional families of non-singular static space times, solutions of the vacuum Einstein-Maxwell equations with a negative cosmological constant. The families include an infinite-dimensional family of solutions with…

Differential Geometry · Mathematics 2017-04-05 Piotr Chrusciel , Erwann Delay

We study non-spinning Q-balls and boson stars in 4-dimensional Anti-de Sitter (AdS) space-time. We use an exponential scalar field potential that appears in gauge-mediated supersymmetry (SUSY) breaking in the minimal supersymmetric…

High Energy Physics - Theory · Physics 2013-05-30 Betti Hartmann , Juergen Riedel

This work considers positive energy theorems in asymptotically, locally AdS spacetimes. Particular attention is given to spacetimes where conformal infinity has compact, Einstein cross-sections admitting Killing or parallel spinors; a…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Virinchi Rallabhandi

The asymptotic symmetry analysis of Maxwell theory at spatial infinity of Minkowski space with $d\geq 3$ is performed. We revisit the action principle in de Sitter slicing and make it well-defined by an asymptotic gauge fixing. In…

High Energy Physics - Theory · Physics 2020-01-08 Erfan Esmaeili

We investigate static inhomogeneous charged planar black hole solutions of the Einstein-Maxwell system in an asymptotically anti-de Sitter spacetime. Within the framework of linear perturbations, the solutions are numerically and…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Kengo Maeda , Takashi Okamura , Jun-ichirou Koga

We discuss black hole solutions in (2+1)-dimensions with a scalar field non-minimally coupled to Einstein's gravity in the presence of a cosmological constant and a self-interacting scalar potential. Without specifying the form of the…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Zi-Yu Tang , Yen Chin Ong , Bin Wang , Eleftherios Papantonopoulos

Earlier Chicone, Latushkin and Montgomery-Smith [Comm Math Phys (1997)] have shown that a fast dynamo in compact two-dimensional manifold can be supported as long as its Riemannian curvature be negative. Recently Klebanov and Maldacena…

General Relativity and Quantum Cosmology · Physics 2009-10-27 Garcia de Andrade

We demonstrate the existence of one and two-dimensional bright solitons in the Bose-Einstein condensate with repulsive dipole-dipole interactions induced by a combination of dc and ac polarizing fields, oriented perpendicular to the plane…

Pattern Formation and Solitons · Physics 2015-06-17 Yongyao Li , Jingfeng Liu , Wei Pang , Boris A. Malomed

Black holes in asymptotically anti-de Sitter (AdS) spacetimes have been the subject of intense scrutiny, including detailed frequency-domain analysis and full nonlinear evolutions. Remarkably, studies of linearized perturbations in the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Vitor Cardoso , Gaurav Khanna

We explore the possibility of embedding regular compact objects with (anti) de Sitter ((A)dS) core as solutions of Einstein's gravity minimally coupled to a real scalar field. We consider, among others, solutions interpolating between an…

General Relativity and Quantum Cosmology · Physics 2023-11-29 Mariano Cadoni , Mauro Oi , Mirko Pitzalis , Andrea P. Sanna

We construct growing mode solutions to the uncharged and charged Klein-Gordon equations on the sub-extremal Reissner-Nordstr\"om--anti-de-Sitter (AdS) spacetime under reflecting (Dirichlet or Neumann) boundary conditions. Our result applies…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Weihao Zheng