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The Tolman VII solution is an exact static spherically symmetric perfect fluid solution of Einstein's equations that exhibits a surprisingly good approximation to a neutron star. We show that this solution exhibits trapped null orbits in a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nicholas Neary , Mustapha Ishak , Kayll Lake

We calculate stable arrangements for a single superfluid vortex pinned to the wall of a stationary cylindrical container. We find that, independent of the details of the pinning site, stable vortices must subtend most of the cell…

Condensed Matter · Physics 2007-05-23 R. J. Zieve , L. A. K. Donev

We study a solution of Einstein's equations that describes a straight cosmic string with a variable angular deficit, starting with a $2 \pi$ deficit at the core. We show that the coordinate singularity associated to this defect can be…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Rodrigo M Aros , Nelson Zamorano

In this paper, we present the spherically symmetric Proca star in the presence of a phantom field and obtain a traversable wormhole solution for non-trivial topological spacetime. Using numerical methods, symmetric solutions and asymmetric…

General Relativity and Quantum Cosmology · Physics 2023-11-30 Xin Su , Chen-Hao Hao , Ji-Rong Ren , Yong-Qiang Wang

A highly accurate, multi-domain spectral code is used in order to construct sequences of general relativistic, differentially rotating neutron stars in axisymmetry and stationarity. For bodies with a spheroidal topology and a homogeneous or…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Marcus Ansorg , Dorota Gondek-Rosińska , Loïc Villain

This paper is an investigation of the stability of some ideal stars. It is in- tended as a study in General Relativity, with emphasis on the coupling to matter, eventually aimed at a better understanding of very strong gravitational fields…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Fronsdal

We investigate the gravitational collapse of a spherically symmetric, inhomogeneous star, which is described by a perfect fluid with heat flow and satisfies the equation of state $p=\rho/3$ or $p=C\rho^\ga$ at its center. Different from the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zhe Chang , Cheng-Bo Guan , Chao-Guang Huang , Xin Li

In Ref. [1, 2] a formalism to deal with high-order perturbations of a general spherical background was developed. In this article, we apply it to the particular case of a perfect fluid background. We have expressed the perturbations of the…

General Relativity and Quantum Cosmology · Physics 2010-12-13 David Brizuela , Jose M. Martin-Garcia , Ulrich Sperhake , Kostas D. Kokkotas

Static, spherically symmetric, traversable wormhole solutions with electric or magnetic charges are shown to exist in general relativity in the presence of scalar fields nonminimally coupled to gravity. These wormholes, however, turn out to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , S. Grinyok

We consider rotating wormhole solutions in general relativity supported by a complex non-phantom spinor field (which provides a nontrivial spacetime topology) and electromagnetic fields. The solutions are asymmetric, regular, asymptotically…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Vladimir Dzhunushaliev , Vladimir Folomeev

We present a variational formalism for describing the dynamical evolution of an oscillating star with a point-mass companion in the linear, non-relativistic regime. This includes both the excitation of normal modes and the back-reaction of…

Astrophysics · Physics 2009-11-07 Yasser Rathore , Avery E. Broderick , Roger Blandford

We investigate the dynamics of self-gravitating, spherically-symmetric distributions of fluid through numerical means. In particular, systems involving neutron star models driven far from equilibrium in the strong-field regime of general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Scott C. Noble

In this work we study static perfect fluid stars in 2+1 dimensions with an exterior BTZ spacetime. We found the general expression for the metric coefficients as a function of the density and pressure of the fluid. We found the conditions…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Norman Cruz , Marco Olivares , Jose Villanueva

Wormholes are non-trivial topological structures that arise as exact solutions to Einstein's field equations, theoretically connecting distinct regions of spacetime via a throat-like geometry. While static traversable wormholes necessarily…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Mahdi Kord Zangeneh , Francisco S. N. Lobo

Most numerical models of binary stars - in particular neutron stars in compact binaries - assume the companions to be either corotational or irrotational. Either one of these assumptions leads to a significant simplification in the…

General Relativity and Quantum Cosmology · Physics 2009-10-02 Thomas W. Baumgarte , Stuart L. Shapiro

We show that under certain conditions an axisymmetric rotating spacetime contains a ring of points in the equatorial plane, where a particle at rest with respect to an asymptotic static observer remains at rest in a static orbit. We…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Lucas G. Collodel , Burkhard Kleihaus , Jutta Kunz

We present a simple exact solution for the interior of a rotating star. The interpretation of the stress energy tensor as that of a fluid requires the existence of a high viscosity, which is quite expected for a rotating fluid. In spite of…

General Relativity and Quantum Cosmology · Physics 2018-05-16 Aravind P Ravi , Narayan Banerjee

This work investigates some feasible regions for the existence of traversable wormhole geometries in $f(R,G)$ gravity, where $R$ and $G$ represent the Ricci scalar and the Gauss-Bonnet invariant respectively. Three different matter contents…

General Physics · Physics 2018-11-12 M. Farasat Shamir , Saeeda Zia

Quantization is performed of a Friedmann-Robertson-Walker universe filled with a conformally invariant scalar field and a perfect fluid with equation of state $p=\alpha \rho$. A well-known discrete set of static quantum wormholes is shown…

General Relativity and Quantum Cosmology · Physics 2015-06-25 N. A. Lemos , G. A. Monerat

Several isotropic, homogeneous cosmological models containing a self-interacting minimally coupled scalar field, a perfect fluid source and cosmological constant are solved. New exact, asymptotically stable solutions with an inflationary…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luis P. Chimento , Alejandro S. Jakubi