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The existence and stability conditions of Einstein static universe against homogeneous scalar perturbations in the context of Lyra geometry is investigated. The stability condition is obtained in terms of the constant equation of state…

General Relativity and Quantum Cosmology · Physics 2023-07-19 F. Darabi , Y. Heydarzade , F. Hajkarim

We study the static cosmological solutions and their stability at background level in the framework of massive bigravity theory with Friedmann-Robertson-Walker (FRW) metrics. By the modification proposed in the cosmological equations…

General Relativity and Quantum Cosmology · Physics 2017-05-17 M. Mousavi , F. Darabi

We study the semiclassical Einstein field equations with a Klein-Gordon field in ultrastatic and static spacetimes. In both cases, the equations for the spacetime metric become constraint equations. In the ultrastatic case, the Hadamard…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Benito A. Juárez-Aubry

We investigate the static boson star solutions in the so-called Einstein-Friedberg-Lee-Sirlin (E-FLS) theory, performing a complete analysis of the solution space in this model. We study the phenomenological aspects of E-FLS stars, for…

General Relativity and Quantum Cosmology · Physics 2024-06-06 Pedro L. Brito de Sá , Haroldo C. D. Lima , Carlos A. R. Herdeiro , Luís C. B. Crispino

This paper analyzes the stability of the closed Einstein static universe by using linear homogeneous perturbations in the framework of energy-momentum squared gravity. This newly developed proposal resolves the primordial singularity and…

General Relativity and Quantum Cosmology · Physics 2021-08-25 M. Sharif , M. Zeeshan Gul

This paper presents an asymptotic reduction of the Einstein-Klein-Gordon system with real scalar field ("soliton star problem"). A periodic solution of the reduced system, similar to the sine-Gordon breather, is obtained by a variational…

General Relativity and Quantum Cosmology · Physics 2017-09-25 Satyanad Kichenassamy

This work investigates the dynamics of a charged scalar boson in the Melvin universe by solving the Klein-Gordon equation with minimal coupling in both inertial and non-inertial frames. Non-inertial effects are introduced through a rotating…

General Relativity and Quantum Cosmology · Physics 2025-06-24 L. G. Barbosa , L. C. N. Santos , J. V. Zamperlini , F. M da Silva , C. C. Barros

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

In $3+1$ dimensions, we study the stability of Kasner solutions for the Einstein-Maxwell-scalar field-Vlasov system. This system incorporates gravity, electromagnetic, weak and strong interactions for the initial stage of our universe. Due…

General Relativity and Quantum Cosmology · Physics 2025-08-27 Xinliang An , Taoran He , Dawei Shen

We consider the coupled Einstein-Maxwell-Boltzmann system with cosmological constant in presence of a massive scalar field. The background metric is that of Friedman-Lema\^itre-Robertson-Walker space time in the spatially homogeneous case…

Analysis of PDEs · Mathematics 2019-01-03 Marcelin Kenmogne Noumo , Norbert Noutchegueme , Roger Tagne Wafo

We consider axially symmetric, rotating boson stars. Their flat space limits represent spinning Q-balls. We discuss their properties and determine their domain of existence. Q-balls and boson stars are stationary solutions and exist only in…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Burkhard Kleihaus , Jutta Kunz , Meike List

We perform numerical evolutions of the fully non-linear Einstein-(complex, massive)Klein-Gordon and Einstein-(complex)Proca systems, to assess the formation and stability of spinning bosonic stars. In the scalar/vector case these are known…

General Relativity and Quantum Cosmology · Physics 2019-12-04 N. Sanchis-Gual , F. Di Giovanni , M. Zilhão , C. Herdeiro , P. Cerdá-Durán , J. A. Font , E. Radu

We present compact Q-balls in an (Anti-)de Sitter background in D dimensions, obtained with a V-shaped potential of the scalar field. Beyond critical values of the cosmological constant compact Q-shells arise. By including the gravitational…

General Relativity and Quantum Cosmology · Physics 2014-12-10 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz , Isabell Schaffer

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

We study the time evolution of spherical, excited -- with $n$ radial nodes -- scalar boson stars in General Relativity minimally coupled to a complex massive scalar field with quartic self-interactions. We report that these stars, with up…

General Relativity and Quantum Cosmology · Physics 2023-04-17 Marco Brito , Carlos Herdeiro , Eugen Radu , Nicolas Sanchis-Gual , Miguel Zilhão

In this paper, we give a rigorous derivation of Einstein's geodesic hypothesis in general relativity. We use scaling stable solitons for nonlinear wave equations to approximate the test particle. Given a vacuum spacetime $([0,…

Analysis of PDEs · Mathematics 2015-08-20 Shiwu Yang

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

Exact particle-like static, spherically and/or cylindrically symmetric solutions to the equations of interacting scalar and electromagnetic field system have been obtained. We considered Freedman-Robertson-Walker (FRW) space-time as an…

General Relativity and Quantum Cosmology · Physics 2019-04-22 B. Saha

We consider minisuperspace models constituted of Bianchi I geometries with a free massless scalar field. The classical solutions are always singular (with the trivial exception of flat space-time), and always anisotropic once they begin…

General Relativity and Quantum Cosmology · Physics 2009-10-31 N. Pinto-Neto , A. F. Velasco , R. Colistete

We observe that the standard homogeneous cosmologies, those of Minkowski, de Sitter, and anti-de Sitter, which form the matrix for the Robertson--Walker scale factor, live naturally as isolated points inside a larger family of conformally…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Jonathan Holland , George Sparling
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