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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

We consider spherically symmetric static composite structures consisting of a boson star and a global monopole, minimally or non-minimally coupled to the general relativistic gravitational field. In the non-minimally coupled case, Marunovic…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Gray D. Reid , Matthew W. Choptuik

We study boson stars in Brans Dicke gravity and use them to illustrate some of the properties of three different mass definitions: the Schwarzschild mass, the Keplerian mass and the Tensor mass. We analyse the weak field limit of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. W. Whinnett

Boson stars are often described as macroscopic Bose-Einstein condensates. By accommodating large numbers of bosons in the same quantum state, they materialize macroscopically the intangible probability density cloud of a single particle in…

General Relativity and Quantum Cosmology · Physics 2020-12-23 C. A. R. Herdeiro , J. Kunz , I. Perapechka , E. Radu , Ya. Shnir

In this paper, we construct a hybrid boson star model that contains a complex scalar field and a Proca field. The scalar field is in the ground state, while the Proca field is in the first excited state. We numerically solve the model and…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Tian-Xiang Ma , Chen Liang , Jie Yang , Yong-Qiang Wang

We present new, fully nonlinear numerical solutions to the static, spherically symmetric Einstein-Klein-Gordon system for a collection of an arbitrary odd number $N$ of complex scalar fields with an internal $U(N)$ symmetry and no…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Miguel Alcubierre , Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Dario Nunez , Olivier Sarbach

We discuss spherically symmetric static solutions of the Einstein-Klein-Gordon equations for a real scalar field with a mass and a quartic self-interaction term. As for the massless case the solutions have a naked singularity at the origin.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Philippe Jetzer , David Scialom

This paper investigates chains of rotating boson stars (BSs) within Einstein gravity coupled to a complex scalar field. The model incorporates quartic or sextic self-interactions in the scalar Lagrangian, which support the existence of…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Hao-Ran Sun , Jing-Kang Bin , Li Zhao

Boson stars coupled to Einstein's general relativity possess some features similar to gravastars, such as the anisotropy in principal pressures and relatively large compactness ($\mu_{max} = 0.32$). However, no matter how large the…

General Relativity and Quantum Cosmology · Physics 2015-12-18 Anja Marunovic

The Einstein-Proca equations, describing a spin-1 massive vector field in general relativity, are studied in the static, spherically-symmetric case. The Proca field equation is a highly nonlinear wave equation, but can be solved to good…

General Relativity and Quantum Cosmology · Physics 2014-06-04 Chris Vuille , James Ipser , Jeff Gallagher

We study relativistic star solutions in second-order generalized Proca theories characterized by a $U(1)$-breaking vector field with derivative couplings. In the models with cubic and quartic derivative coupling, the mass and radius of…

General Relativity and Quantum Cosmology · Physics 2018-04-11 Ryotaro Kase , Masato Minamitsuji , Shinji Tsujikawa

We consider the Boson star equation with long-range perturbation given by $$i\partial_t \psi=\sqrt{-\triangle+m^2}\,\psi+\beta(\frac{1}{|x|^\alpha}\ast |\psi|^2)\psi-(\frac{1}{|x|}\ast |\psi|^2)\psi\ \ \ \text{on $\mathbb{R}^3$,}$$ where…

Analysis of PDEs · Mathematics 2019-11-04 Qingxuan Wang , Binhua Feng , Yuan Li

Scalar bosonic stars (BSs) stand out as a multi-purpose model of exotic compact objects. We enlarge the landscape of such (asymptotically flat, stationary, everywhere regular) objects by considering multiple fields (possibly) with different…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Nicolas Sanchis-Gual , Fabrizio Di Giovanni , Carlos Herdeiro , Eugen Radu , José A. Font

We study phenomenological features and stability of boson stars in massless and massive scalar-tensor theory of gravity with Damour-Esposito-Farese coupling. This coupling between the tensor and scalar sectors of the theory leads to a…

General Relativity and Quantum Cosmology · Physics 2024-07-29 Tamara Evstafyeva , Roxana Rosca-Mead , Ulrich Sperhake , Bernd Brugmann

We generalize the scalar tensor bigravity models to the non-minimal kinetic coupling scalar tensor bigravity models with two scalar fields whose kinetic terms are non-minimally coupled to two Einstein tensors constructed by two metrics. We…

General Relativity and Quantum Cosmology · Physics 2015-08-06 F. Darabi , M. Mousavi

We construct boson stars in (4+1)-dimensional Gauss-Bonnet gravity. We study the properties of the solutions in dependence on the coupling constants and investigate these in detail. While the "thick wall" limit is independent of the value…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Betti Hartmann , Juergen Riedel , Raluca Suciu

We study static, spherically symmetric neutron stars in a class of scalar-tensor theories with non-canonical kinetic terms (K-essence) obeying all causality and hyperbolicity conditions. These models have non-trivial dynamics that lead to a…

General Relativity and Quantum Cosmology · Physics 2025-09-12 Mark P. Hertzberg , Oleksandr S. Stashko

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

This paper explores the conditions under which modified gravitational theories admit the positive mass. Following Witten's spinor argument, it is argued that a single condition should be imposed upon a gauge connection in the…

General Relativity and Quantum Cosmology · Physics 2014-03-11 Masato Nozawa , Tetsuya Shiromizu

We construct asymptotically anti-de Sitter boson stars in Einstein-Gauss-Bonnet gravity coupled to a $\frac{D-1}{2}$-tuplet of complex massless scalar fields both perturbatively and numerically in D=5,7,9,11 dimensions. These solutions…

General Relativity and Quantum Cosmology · Physics 2015-01-14 Laura J. Henderson , Robert B. Mann , Sean Stotyn