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We investigate two cosmological axion problems (isocurvature fluctuations and domain-wall formation) in chaotic inflationary universe. It is believed that these problems are solved if potential for the Peccei-Quinn scalar field is very…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. Kasuya , M. Kawasaki , T. Yanagida

After transition from the Dirac equation to the Schr\"{o}dinger-type relativistic equation with effective potentials of the Schwarzschild and Reissner-Nordstr\"{o}m (RN) fields, the existence of the stationary state of fermions with real…

General Relativity and Quantum Cosmology · Physics 2018-08-29 V. P. Neznamov , I. I. Safronov , V. E. Shemarulin

We prove general nonlinear stability and existence theorems for rotating star solutions which are axi-symmetric steady-state solutions of the compressible isentropic Euler-Poisson equations in 3 spatial dimensions. We apply our results to…

General Relativity and Quantum Cosmology · Physics 2014-08-04 Tao Luo , Joel Smoller

Gravitational stability of torsion and inflaton field in a four-dimensional spacetime de Sitter solution in scalar-tensor cosmology where Cartan torsion propagates is investigated in detail. Inflaton and torsion evolution equations are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

In the framework of Einstein-Maxwell-axion theory we consider static spherically symmetric solutions, which describe a magnetic monopole in the axionic environment. These solutions are interpreted as the solutions for an axionic dyon, the…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Alexander B. Balakin , Alexei E. Zayats

In this paper we study cosmological solutions to the Einstein--Euler equations. We first establish the future stability of nonlinear perturbations of a class of homogeneous solutions to the relativistic Euler equations on fixed linearly…

Analysis of PDEs · Mathematics 2024-07-25 David Fajman , Maximilian Ofner , Todd A. Oliynyk , Zoe Wyatt

We construct spherically symmetric boson star solutions in $D \in \{4,5,6\}$ spacetime dimensions, considering the effects of both a quartic self-interaction term and a solitonic potential. We then perform a perturbative analysis,…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Gareth Arturo Marks , Abdullah Al Zaif

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

Building upon the methods used recently, we establish the inexistence of self-gravitating solitonic solutions for both static and strictly stationary asymptotically flat spacetimes in generalised axion electrodynamics. This is an…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Carlos A. R. Herdeiro , João M. S. Oliveira

We investigate some fundamental features of a class of non-linear relativistic lagrangian field theories with kinetic self-coupling. We focus our attention upon theories admitting static, spherically symmetric solutions in three space…

High Energy Physics - Theory · Physics 2008-11-26 Joaquin Diaz-Alonso , Diego Rubiera-Garcia

Recently, zero-point length cosmology has shown some positive insights into some non-singular aspects of the early Universe. In addition, topological defects are known to play a significant role by its presence as a part of the total energy…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Kalyan Bhuyan , Mrinnoy M. Gohain

We discuss inflation models within supersymmetry and supergravity frameworks with a landscape of chiral superfields and one $U(1)$ shift symmetry which is broken by non-perturbative symmetry breaking terms in the superpotential. We label…

High Energy Physics - Phenomenology · Physics 2018-04-18 Pran Nath , Maksim Piskunov

We propose an extension of the Standard Model (SM) based on the $SU(3)_C\otimes SU(3)_L\otimes U(1)_X$ (3-3-1) gauge symmetry and scale invariance. Maintaining the main features of the so-called 3-3-1 models, such as the cancellation of…

High Energy Physics - Phenomenology · Physics 2020-07-29 Alex G. Dias , Julio Leite , B. L. Sánchez-Vega , William C. Vieira

We provide new exact solutions to the Einstein-Maxwell system of equations which are physically reasonable. The spacetime is static and spherically symmetric with a charged matter distribution. We utilise an equation of state which is…

General Relativity and Quantum Cosmology · Physics 2015-06-12 S. D. Maharaj , P. Mafa Takisa

The evolution of a soliton star filled with fermions is studied in the framework of general relativity. Such a system can be described by the surface tension $\sigma$, the bag constant $B$, and the fermion number density $\rho_{0}$. Usually…

Astrophysics · Physics 2015-06-24 Ilona Bednarek , Ryszard Manka

In this paper, we study the viability and stability of anisotropic compact stars in the context of $f(\mathcal{Q})$ theory, where $\mathcal{Q}$ is non-metricity scalar. We use Finch-Skea solutions to investigate the physical properties of…

General Relativity and Quantum Cosmology · Physics 2024-01-18 Muhammad Zeeshan Gul , Shamaila Rani , Muhammad Adeel , Abdul Jawad

We study linear and nonlinear stability of asymptotically AdS$_4$ solutions in Einstein-Maxwell-scalar theory. After summarizing the set of static solutions we first examine thermodynamical stability in the grand canonical ensemble and the…

High Energy Physics - Theory · Physics 2017-05-24 Raúl Arias , Javier Mas , Alexandre Serantes

We give a new proof for the existence of spherically symmetric steady states to the Vlasov-Poisson system, following a strategy that has been used successfully to approximate axially symmetric solutions numerically, both to the…

Analysis of PDEs · Mathematics 2025-08-04 Håkan Andréasson , Markus Kunze , Gerhard Rein

We propose that stable boson stars generically fall within an infinite-parameter family of solutions that oscillate on any number of non-commensurate frequencies. We numerically construct two-frequency solutions and explore their parameter…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Matthew Choptuik , Ramon Masachs , Benson Way

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