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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

We present spinning Q-balls and boson stars in four dimensional anti-de Sitter spacetime. These are smooth, horizonless solutions for gravity coupled to a massive complex scalar field with a harmonic dependence on time and the azimuthal…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Eugen Radu , Bintoro Subagyo

We investigate the gravitational evolution of dark matter halos made up of a massless bosonic field. The coupled Einstein-Klein-Gordon equations are solved numerically, showing that such a boson halo is stable and can be formed under a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jayashree Balakrishna , Franz E. Schunck

We study the evolution of a self interacting scalar field in Einstein-Gauss-Bonnet theory in four dimension where the scalar field couples non minimally with the Gauss-Bonnet term. Considering a polynomial coupling of the scalar field with…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Soumya Chakrabarti

Ho\v{r}ava--Lifshitz gravity has covariance only under the foliation-preserving diffeomorphism. This implies that the quantities on the constant-time hypersurfaces should be regular. In the original theory, the projectability condition,…

General Relativity and Quantum Cosmology · Physics 2013-12-18 Naoki Tsukamoto , Tomohiro Harada

We study spherically-symmetric structures in Conformal Gravity and in a scalar-tensor extension and gain some more insight about these gravitational theories. In both cases we analyze solutions in two systems: perfect fluid solutions and…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Y. Brihaye , Y. Verbin

There is increasing numerical evidence that scalar fields can form long-lived quasi-bound states around black holes. Recent perturbative and numerical relativity calculations have provided further confirmation in a variety of physical…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Alejandro Escorihuela-Tomàs , Nicolas Sanchis-Gual , Juan Carlos Degollado , José A. Font

We numerically solve the mass-less test scalar field equation on the space-time background of boson stars and black holes. In order to do so, we use a numerical domain that contains future null infinity. We achieve this construction using a…

General Relativity and Quantum Cosmology · Physics 2010-08-12 F. D. Lora-Clavijo , A. Cruz-Osorio , F. S. Guzmán

We study no-hair theorem for horizonless objects, being subject to Neumann boundary conditions. For massive scalar fields, a no hair theorem for Neumann compact stars was proved by us in a previous paper, where the nonzero scalar field mass…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Yan Peng

Within the framework of the extended teleparallel gravity, a new class of boson stars has recently been constructed by introducing the nonminimal coupling of the scalar field to the torsion scalar. An interesting feature of these static,…

General Relativity and Quantum Cosmology · Physics 2015-08-31 Dubravko Horvat , Sasa Ilijic , Anamarija Kirin , Zoran Narancic

We show that complex, massive spin-1 fields minimally coupled to Einstein's gravity with a negative cosmological constant, admit asymptotically anti-de Sitter self-gravitating solutions. Focusing on 4-dimensional spacetimes, we start by…

General Relativity and Quantum Cosmology · Physics 2016-09-26 Miguel Duarte , Richard Brito

We study scalar condensation in the background of asymptotically flat spherically symmetric regular Dirichlet stars. We assume that the scalar field decreases as the star surface is approached. Under these circumstances, we prove a no hair…

General Relativity and Quantum Cosmology · Physics 2019-04-08 Yan Peng

In the present paper we construct novel non-topological, spontaneously scalarized neutron stars in multi-scalar Gauss-Bonnet gravity with maximally symmetric target space, and nontrivial map $\varphi:spacetime \rightarrow target\ space$.…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Kalin V. Staykov , Radostina Z. Zheleva

Scalar-tensor~(ST) theories of gravity are natural phenomenological extensions to general relativity. Although these theories are severely constrained both by solar system experiments and by binary pulsar observations, a large set of ST…

General Relativity and Quantum Cosmology · Physics 2016-02-10 Carlos Palenzuela , Steve Liebling

We study static and spherically symmetric charged stars with a nontrivial profile of the scalar field $\phi$ in Einstein-Maxwell-scalar theories. The scalar field is coupled to a $U(1)$ gauge field $A_{\mu}$ with the form…

General Relativity and Quantum Cosmology · Physics 2022-08-02 Masato Minamitsuji , Shinji Tsujikawa

We study the existence and structure of static and slowly rotating neutron stars (NSs) in a particular truncation of scalar torsion theory with a scalar field $ \phi $ non-minimally coupled to the torsion scalar, and a potential of the form…

General Relativity and Quantum Cosmology · Physics 2024-12-31 Youcef Kehal , Khireddine Nouicer , Hamza Boumaza

In this paper we present a method for considering the stability of smooth vector fields on a smooth manifold which may not be compact. We show that these kind of stability which is called "connection stability" is equivalent to the…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Mohammadreza Molaei , Christian Corda

We study axially symmetric solutions of the Einstein-Maxwell-Klein-Gordon equations describing spinning gauged boson stars in a 3+1 dimensional asymptotically AdS spacetime. These smooth horizonless solutions possess an electric charge and…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Olga Kichakova , Jutta Kunz , Eugen Radu

Within the scalar-tensor theory of gravity with Higgs mechanism without Higgs particles, we prove that the excited Higgs potential (the scalar field) vanishs inside and outside of the stellar matter for static spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Oleg von Styp Rekowski , Hartmut Frommert

Using direct methods of the calculus of variations we establish the existence of an infinite class of spherically-symmetric solutions to the multi-field Schr\"odinger-Poisson system. This is achieved by proving that the energy functional…

Mathematical Physics · Physics 2026-05-29 Emmanuel Chávez Nambo , Olivier Sarbach
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