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We investigate Proca star (PS) solutions, namely boson star (BS) type solutions for a complex vector field with mass and nonminimal coupling to the Einstein tensor. Irrespective of the existence of nonminimal coupling, PS solutions are…

General Relativity and Quantum Cosmology · Physics 2017-08-18 Masato Minamitsuji

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

In a class of generalized Proca theories, we study the existence of neutron star solutions with a nonvanishing temporal component of the vector field $A_\mu$ approaching 0 toward spatial infinity, as they may be the endpoints of tachyonic…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Ryotaro Kase , Masato Minamitsuji , Shinji Tsujikawa

We consider a model with two real Maxwell fields (or equivalently, a complex Maxwell field) minimally coupled to Einsteins gravity with a negative cosmological constant in four spacetime dimensions. Assuming a specific harmonic dependence…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Eugen Radu

We study axially symmetric multi-soliton solutions of a complex scalar field theory with a sextic potential, minimally coupled to Einstein's gravity. These solutions carry no angular momentum and can be classified by the number of nodes of…

General Relativity and Quantum Cosmology · Physics 2021-03-31 C. A. R. Herdeiro , J. Kunz , I. Perapechka , E. Radu , Y. Shnir

Motivated by the recent progress in solving the large charge sector of conformal field theories, we revisit the mass-charge relation of boson stars asymptotic to global AdS. We construct and classify a large number of electrically charged…

High Energy Physics - Theory · Physics 2020-12-09 Hai-Shan Liu , H. Lu , Yi Pang

It is believed that dark matter (DM) could accumulate inside neutron stars and significantly change their masses, radii and tidal properties. We study what effect bosonic dark matter, modelled as a massive and self-interacting scalar or…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Cédric Jockel

Dark matter could accumulate around neutron stars in sufficient amounts to affect their global properties. In this work, we study the effect of a specific model for dark matter -- a massive and self-interacting vector (spin-1) field -- on…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Cédric Jockel , Laura Sagunski

A model of dark matter (DM) that communicates with the Standard Model (SM) exclusively through suppressed dimension five operator is discussed. The SM is augmented with a symmetry $U(1)_X \otimes Z_2$, where $U(1)_X$ is gauged and broken…

High Energy Physics - Phenomenology · Physics 2021-02-03 Basabendu Barman , Subhaditya Bhattacharya , Bohdan Grzadkowski

Given $\mu>0$ we look for solutions $ \lambda\in\mathbb{R}$ and $v_1,\dots,v_k\in H^1(\mathbb{R}^N)$ of the system \[ \begin{cases} \displaystyle -\Delta v_i+ \lambda v_i+V_i(x)v_i = \sum_{\substack{j=1}}^k\beta_{ij} v_iv_j^2 &\text{ in }…

Analysis of PDEs · Mathematics 2025-06-10 Xiaomeng Huang , Angela Pistoia , Christophe Troestler , Chunhua Wang

We study boson stars in a theory of complex scalar field coupled to Einstein gravity with the potential: $V(|\Phi|) := m^{2} |\Phi|^2 +2 \lambda |\Phi|$ (where $m^2$ and $\lambda$ are positive constant parameters). This could be considered…

High Energy Physics - Theory · Physics 2016-05-24 Sanjeev Kumar , Usha Kulshreshtha , Daya Shankar Kulshreshtha

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

The formalism of the relativistic (or Dirac-) Brueckner approach in infinite nuclear matter is described. As nucleon-nucleon interaction the one-boson exchange potentials Bonn A,B,C and for comparison the Walecka model are used. The…

Nuclear Theory · Physics 2008-11-26 L. Sehn , C. Fuchs , Amand Faessler

In this paper, we re-investigate the stationary, soliton-like solutions in the model of the Einstein gravity coupled to a free and complex scalar field, which have been known as mini-boson stars. With numerical method, we find that in…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Shi-Xian Sun , Yong-Qiang Wang , Li Zhao

We explore the effective field theory of a vector field $X^\mu$ that has a St\"uckelberg mass. The absence of a gauge symmetry for $X^\mu$ implies Lorentz-invariant operators are constructed directly from $X^\mu$. Beyond the kinetic and…

High Energy Physics - Phenomenology · Physics 2026-03-17 Graham D. Kribs , Gabriel Lee , Adam Martin

We solve Einstein equations coupled to a complex scalar field with infinitely large self-interaction, degenerate fermions, and a negative cosmological constant in $(2+1)$ dimensions. Exact solutions for static boson-fermion stars are found…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Kenji Sakamoto , Kiyoshi Shiraishi

We study the renormalizable abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. The renormalizability is achieved by supplementing the standard kinetic term of vector fields with higher…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Andrianov , R. Soldati

We derive a system of nonpolynomial Schroedinger equations (NPSEs) for one-dimensional wave functions of two components in a binary self-attractive Bose-Einstein condensate loaded in a cigar-shaped trap. The system is obtained by means of…

Other Condensed Matter · Physics 2009-11-11 Luca Salasnich , Boris A. Malomed

We study boson shells and boson stars in a theory of complex scalar field coupled to the $U(1)$ gauge field $A_{\mu}$ and Einstein gravity with the potential: $V(|\Phi|) := \frac{1}{2} m^{2} \left(|\Phi|+ a \right)^2$. This could be…

High Energy Physics - Theory · Physics 2016-06-08 Sanjeev Kumar , Usha Kulshreshtha , Daya Shankar Kulshreshtha

We study a coupled dark energy scenario in which a massive vector field $A_{\mu}$ with broken $U(1)$ gauge symmetry interacts with the four-velocity $u_c^{\mu}$ of cold dark matter (CDM) through the scalar product $Z=-u_c^{\mu} A_{\mu}$.…

General Relativity and Quantum Cosmology · Physics 2020-09-29 Antonio De Felice , Shintaro Nakamura , Shinji Tsujikawa
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