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Related papers: Asymptotically anti-de Sitter Proca Stars

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Breather-type (time-periodic and spatially localized) solutions with spherical symmetry are investigated in a massless scalar field theory coupled to Einstein's gravity with cosmological constant in $d$ spatial dimensions imposing anti de…

General Relativity and Quantum Cosmology · Physics 2015-07-29 Gyula Fodor , Péter Forgács , Philippe Grandclément

We derive evolution and constraint equations for second order perturbations of flat dust homogeneous and isotropic solutions to the Einstein field equations using all scalar, vector and tensor perturbation modes. We show that the…

Mathematical Physics · Physics 2015-05-19 Filipe C. Mena

We obtain an exact solution for the Einstein's equations with cosmological constant coupled to a scalar, static particle in static, "spherically" symmetric background in 2+1 dimensions.

General Relativity and Quantum Cosmology · Physics 2009-11-11 Durmus Daghan , Ayse H. Bilge

We perform fully non-linear numerical simulations within the spherically symmetric Einstein-(complex)Proca system. Starting with Proca field distributions that obey the Hamiltonian, momentum and Gaussian constraints, we show that the…

General Relativity and Quantum Cosmology · Physics 2019-06-18 Fabrizio Di Giovanni , Nicolas Sanchis-Gual , Carlos A. R. Herdeiro , José A. Font

Setting an ansats that the metric is expressible by a power series of the inverse radius and taking a particular gauge choice, we construct a "general solution" of (2+1)-dimensional Einstein's equations with a negative cosmological constant…

High Energy Physics - Theory · Physics 2010-11-01 Kiyoshi Ezawa

The existence of localized, approximately stationary, lumps of the classical gravitational and electromagnetic field -- $geons$ -- was conjectured more than half a century ago. If one insists on exact stationarity, topologically trivial…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Carlos A. R. Herdeiro , Alexandre M. Pombo , Eugen Radu

In this paper we follow an effective theory approach to study the nonrelativistic limit of a selfgravitating and selfinteracting massive vector field. Our effective theory is characterized by three parameters: the field's mass $m_0$ and the…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Emmanuel Chávez Nambo , Alberto Diez-Tejedor , Edgar Preciado-Govea , Armando A. Roque , Olivier Sarbach

We investigate solutions that are dynamically evolving between asymptotically de Sitter and asymptotically anti-de Sitter regions in the context of Einstein gravity coupled to general matter fields in d dimensions. We demonstrate the…

High Energy Physics - Theory · Physics 2009-11-07 Hassan Firouzjahi , Frederic Leblond

We discuss spherically symmetric, static solutions to the SU(2) sigma model on a de Sitter background. Despite of its simplicity this model reflects many of the features exhibited by systems of non-linear matter coupled to gravity e.g.…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Peter C. Aichelburg , Christiane Lechner

We consider a particular truncation of the generalized Proca field theory in four dimensions for which we construct a static and axisymmetric rotating black hole "stealth solutions", namely solutions with (Anti) de Sitter or Kerr metric but…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Adolfo Cisterna , Mokhtar Hassaine , Julio Oliva , Massimiliano Rinaldi

We study the phase space of the spherically symmetric solutions of the system obtained from the dimensional reduction of the six-dimensional Einstein-Gauss-Bonnet action with a cosmological constant. We show that all the physical solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Melis , S. Mignemi

In this paper, based on an intrinsic definition of asymptotically AdS space-times, we show that the standard anti-de Sitter space-time is the unique strictly stationary asymptotically AdS solution to the vacuum Einstein equations with…

Differential Geometry · Mathematics 2015-06-26 Jie Qing

We show that there exist solutions to the semi-classical gravity equations in de Sitter spacetime sourced by the renormalised stress-energy tensor of a free Klein-Gordon field. For the massless scalar, solutions exist for every possible…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Benito A. Juárez-Aubry

We present a comparative study of spherically symmetric, localized, particle-like solutions for spin $s=0,1/2$ and $1$ gravitating fields in a $D$-dimensional, asymptotically flat spacetime. These fields are massive, possessing a harmonic…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Jose Luis Blázquez-Salcedo , Christian Knoll , Eugen Radu

We study the 5-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically "quasi-Minkowski", "quasi anti-de…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Naoya Okuyama , Kei-ichi Maeda

We present fully dynamical solutions to Einstein-scalar theory in asymptotically Anti-de-Sitter spacetime with a scalar potential containing particularly rich physics. Depending on one parameter in the potential we find an especially…

High Energy Physics - Theory · Physics 2016-09-21 Umut Gürsoy , Aron Jansen , Wilke van der Schee

We construct new families of everywhere regular, asymptotically flat solitons in the Einstein--Proca model, obtained as self-gravitating continuations of flat-spacetime (singular) Proca multipoles. First we consider static and axially…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Carlos Herdeiro , Eugen Radu , Etevaldo dos Santos Costa Filho , Nicolas Sanchis-Gual

We present arguments for the existence of both globally regular and black hole solutions of the Einstein equations with a conformally coupled scalar field, in the presence of a negative cosmological constant, for space-time dimensions…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eugen Radu , Elizabeth Winstanley

We investigate static axially symmetric black hole solutions in a four-dimensional Einstein-Yang-Mills-SU(2) theory with a negative cosmological constant $\Lambda$. These solutions approach asymptotically the anti-de Sitter spacetime and…

High Energy Physics - Theory · Physics 2009-11-10 Eugen Radu , Elizabeth Winstanley

We prove existence of large families of solutions of Einstein-complex scalar field equations with a negative cosmological constant, with a stationary or static metric and a time-periodic complex scalar field.

General Relativity and Quantum Cosmology · Physics 2019-02-06 Piotr T. Chruściel , Erwann Delay , Paul Klinger , Andreas Kriegl , Peter W. Michor , Armin Rainer