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We consider a model consists of the Einstein gravity in four-dimensional spacetime, a Proca field and two Dirac fields through minimum coupling. By numerically solving this model, we obtain two types of solutions: synchronized frequency…

广义相对论与量子宇宙学 · 物理学 2023-09-22 Tian-Xiang Ma , Chen Liang , Ji-Rong Ren , Yong-Qiang Wang

We study the behavior of static, spherically symmetric solutions to the field equations of scalar-tensor theories (STT) of gravity belonging to the Bergmann-Wagoner-Nordtvedt class, in the presence of an electric and/or magnetic charge.…

广义相对论与量子宇宙学 · 物理学 2024-10-18 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova , Rustam Ibadov , Feruza Y. Shaymanova

The Proca potential has been used in many contexts in flat spacetime, but not so often in curved spacetime. Here, the static Proca potentials are derived on a Schwarzschild background, and are found to have very different forms from those…

综合物理 · 物理学 2016-10-13 Chris Vuille

We prove a new global existence result for the asymptotically flat, spherically symmetric Einstein-Vlasov system which describes in the framework of general relativity an ensemble of particles which interact by gravity. The data are such…

广义相对论与量子宇宙学 · 物理学 2011-02-01 Hakan Andreasson , Markus Kunze , Gerhard Rein

The spherically symmetric perturbations in the spatially flat Friedman models are considered. It is assumed that the Friedmannian density and pressure are related through a linear equation of state. The perturbation is joined smoothly with…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. A. Popov , R. K. Muharlyamov

We introduce an effective Lagrangian which describes the classical and semiclassical dynamics of spherically symmetric, self-gravitating objects that may populate the Universe at large and small (Planck) scale. These include wormholes,…

广义相对论与量子宇宙学 · 物理学 2015-06-25 S. Ansoldi , A. Aurilia , R. Balbinot , E. Spallucci

Solitons, nonlinear particle-like excitations with inalterable properties (amplitude, shape, and velocity) as they propagate, are omnipresent in many branches of science---and in physics in particular. Flat-top solitons are a novel type of…

斑图形成与孤子 · 物理学 2019-09-24 Liangwei Zeng , Jianhua Zeng

Exact particle-like static, spherically and/or cylindrically symmetric solutions to the equations of interacting scalar and electromagnetic field system have been obtained within the scope of general relativity. In particular, we considered…

广义相对论与量子宇宙学 · 物理学 2014-11-17 B. Saha

We model a single-electron ion (hydrogenic atom) as a static, spherically symmetric electrovacuum spacetime in which the nucleus is treated as a timelike line-singularity and the electron is treated as a test particle following Dirac's…

数学物理 · 物理学 2020-09-28 Moulik Kallupalam Balasubramanian

We study the linear stability of nonrelativistic Proca stars under generic perturbations. Using a combination of analytic and numerical methods, we demonstrate that, as expected, the ground state is always mode-stable. Additionally, we…

广义相对论与量子宇宙学 · 物理学 2026-04-02 Emmanuel Chávez Nambo , Galo Diaz-Andrade , Alberto Diez-Tejedor , Edgar Preciado-Govea , Armando A. Roque , Olivier Sarbach

We solve isotropic, homogeneous cosmological models containing a self-interacting scalar field. Calculations are performed in four and two-dimensional spacetimes. We find several exact solutions that have an inflationary regime or has a…

广义相对论与量子宇宙学 · 物理学 2012-08-07 Luis P. Chimento , Adriana E. Cossarini , Alejandro S. Jakubi

We derive the global properties of static spherically symmetric solutions to the Einstein-Maxwell-dilaton system in the presence of an arbitrary exponential dilaton potential. We show that -- with the exception of a pure cosmological…

广义相对论与量子宇宙学 · 物理学 2014-11-17 S. J. Poletti , D. L. Wiltshire

We review spherical and inhomogeneous analytic solutions of the field equations of Einstein and of scalar-tensor gravity, including Brans-Dicke theory, non-minimally (possibly conformally) coupled scalar fields, Horndeski, and beyond…

广义相对论与量子宇宙学 · 物理学 2021-07-28 Valerio Faraoni , Andrea Giusti , Bardia H. Fahim

We study the Einstein-scalar field system with positive cosmological constant and spherically symmetric characteristic initial data given on a truncated null cone. We prove well-posedness, global existence and exponential decay in (Bondi)…

广义相对论与量子宇宙学 · 物理学 2020-09-08 Joao L. Costa , Artur Alho , Jose Natario

The scale-free nature of gravitational interaction in both Newtonian gravity and the general theory of relativity gives rise to the concept of self-similarity, where solutions are scale invariant. As a result of this property, the governing…

广义相对论与量子宇宙学 · 物理学 2025-12-09 Balázs Endre Szigeti , Imre Ferenc Barna , Gergely Gábor Barnaföldi

Our motivation in this work is due to the great importance of relativistic boson stars as fierce competitors of black holes. From theoretical perspective, they described by complex Klein Gordon (KG) scalar fields interacting with curved…

广义相对论与量子宇宙学 · 物理学 2024-12-04 Firoozeh Eidizade , Hossein Ghaffarnejad

We are interested in the global dynamics of a massive scalar field evolving under its own gravitational field and, in this paper, we study spherically symmetric solutions to Einstein's field equations coupled with a Klein-Gordon equation…

广义相对论与量子宇宙学 · 物理学 2022-12-29 Philippe G. LeFloch , Filipe C. Mena , The-Cang Nguyen

We consider the $(1 + 3)$-dimensional Einstein equations with negative cosmological constant coupled to a spherically-symmetric, massless scalar field and study perturbations around the Anti-de Sitter spacetime. We derive the resonant…

偏微分方程分析 · 数学 2023-11-30 Athanasios Chatzikaleas

We investigate spherically symmetric equilibrium states of the Vlasov-Poisson system, relevant in galactic dynamics. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations…

数学物理 · 物理学 2007-10-31 J. Mark Heinzle , Alan D. Rendall , Claes Uggla

The dynamical evolution of self-interacting scalars is of paramount importance in cosmological settings, and can teach us about the content of Einstein's equations. In flat space, nonlinear scalar field theories can give rise to localized,…

广义相对论与量子宇宙学 · 物理学 2017-10-04 Taishi Ikeda , Chul-Moon Yoo , Vitor Cardoso