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We study oscillations and instabilities of relativistic stars using perturbation theory in general relativity and take into account the contribution of a dynamic spacetime. We present the oscillation spectrum as well as the critical values…

General Relativity and Quantum Cosmology · Physics 2020-09-16 C. J. Krüger , K. D. Kokkotas

We investigate, in the framework of (2+1) dimensional gravity, stationary, rotationally symmetric gravitational sources of the perfect fluid type, embedded in a space of arbitrary cosmological constant. We show that the matching conditions…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Lubo , M. Rooman , Ph. Spindel

The nonlinear asymptotic stability of Lane-Emden solutions is proved in this paper for spherically symmetric motions of viscous gaseous stars with the density dependent shear and bulk viscosities which vanish at the vacuum, when the…

Analysis of PDEs · Mathematics 2016-10-12 Tao Luo , Zhouping Xin , Huihui Zeng

We make a detailed study of boson star configurations in Jordan--Brans--Dicke theory, studying both equilibrium properties and stability, and considering boson stars existing at different cosmic epochs. We show that boson stars can be…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Diego F Torres , Franz E Schunck , Andrew R Liddle

Considering an action in F(G) modified gravity, the static spherically symmetric solutions are investigated. Introducing the Lagrangian multipliers {\alpha} we obtain the Lagrangian and equations of motion. we obtain two type solutions for…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Naser Mohammadipour

Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Christian G. Boehmer

$\ell$-boson stars are static, spherical, multi-field self-gravitating solitons. They are asymptotically flat, finite energy solutions of Einstein's gravity minimally coupled to an odd number of massive, complex scalar fields. A previous…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Víctor Jaramillo , Nicolas Sanchis-Gual , Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Carlos Herdeiro , Darío Núñez

In Newtonian theory, gravity inside a constant density static sphere is independent of spacetime dimension. Interestingly this general result is also carried over to Einsteinian as well as higher order Einstein-Gauss-Bonnet (Lovelock)…

General Relativity and Quantum Cosmology · Physics 2010-05-27 N. Dadhich , A. Molina , A. Khugaev

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 investigate numerically models of the static spherically symmetric boson-fermion stars in the scalar-tensor theory of gravity with massive dilaton field. The proper mathematical model of such stars is interpreted as a nonlinear…

Astrophysics · Physics 2025-10-20 S. S. Yazadjiev , T. L. Boyadjiev , M. D. Todorov , P. P. Fiziev

The existence and stability of the Einstein static solution have been built in the Einstein-Cartan gravity. We show that this solution in the presence of perfect fluid with spin density satisfying the Weyssenhoff restriction is cyclically…

General Relativity and Quantum Cosmology · Physics 2014-06-11 K. Atazadeh

We generalise the Buchdahl-Bondi limit for the case of static, spherically symmetric, relativistic compact stars immersed in Schwarzschild vacuum in f(R)-theory of gravity, subject to very generic regularity, thermodynamic stability and…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Rituparno Goswami , Sunil D. Maharaj , Anne Marie Nzioki

We study scalarization of horizonless neutral compact reflecting stars. In our model, the scalar hair can be induced by the coupling of static scalar fields to the Gauss-Bonnet invariant. We analytically obtain lower bounds on the coupling…

General Relativity and Quantum Cosmology · Physics 2019-12-12 Yan Peng

Numerical investigation of the static spherically symmetric vacuum solution of the Logunov equations confirms the analytical results and demonstrates a strong repulsion at sub-Planckian distance from the Schwarzschild-like singularity,…

Astrophysics · Physics 2007-05-23 Vladimir L. Kalashnikov

Although the Gauss-Bonnet term is a topological invariant for general relativity, it couples naturally to a quintessence scalar field, modifying gravity at solar system scales. We determine the solar system constraints due to this term by…

Astrophysics · Physics 2009-06-23 Luca Amendola , Christos Charmousis , Stephen C. Davis

Einstein-Hilbert action is supplemented by Gauss-Bonnet squared term, its phase-space structure is constructed and canonical quantization is performed. Resolution of a contradiction that emerges in the process, requires the presence of…

General Relativity and Quantum Cosmology · Physics 2019-08-19 Abhik Kumar Sanyal , Chandramouli Sarkar

We present novel neutral and uncharged solutions that describe the cluster of Einstein in the teleparallel equivalent of general relativity (TEGR). To this end, we use a tetrad field with non-diagonal spherical symmetry which gives the…

General Relativity and Quantum Cosmology · Physics 2023-11-22 G. G. L. Nashed , Amare Abebe , Kazuharu Bamba

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

We consider cosmological dynamics in fourth order gravity with both $f(R)$ and $\Phi(\mathcal {G})$ correction to the Einstein gravity ($\mathcal{G}$ is the Gauss-Bonnet term). The particular case for which both terms are equally important…

General Relativity and Quantum Cosmology · Physics 2012-05-09 Mikhail M. Ivanov , Alexey V. Toporensky

Static, spherically symmetric solutions representing stars made of barotropic perfect fluid are studied in the context of two theories of type-II minimally modified gravity, VCDM and VCCDM. Both of these theories share the property that no…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Antonio De Felice , Shinji Mukohyama , Masroor C. Pookkillath
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