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The closed-universe recollapse conjecture is studied for a class of closed spherically symmetric spacetimes which includes those having as a matter source: (1) a massless scalar field; (2) a perfect fluid obeying the equation of state $\rho…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Gregory A. Burnett

We investigate the geodesic structure of realistic static and spherically symmetric spacetimes embedding neutron stars in metric $f(R)$ gravity, focusing on the quadratic Starobinsky model $f(R)=aR^2$ with $a<0$. Neutron-star solutions are…

广义相对论与量子宇宙学 · 物理学 2026-03-10 Néstor Rivero González , Álvaro de la Cruz Dombriz , Gonzalo J. Olmo

In this paper we provide sharp criteria for linear stability or instability of equilibria of collisionless plasmas in the presence of boundaries. Specifically, we consider the relativistic Vlasov-Maxwell system with specular reflection at…

偏微分方程分析 · 数学 2011-12-21 Toan Nguyen , Walter A. Strauss

We report about stability conditions for static, spherically symmetric objects that share the essential features of mass varying neutrinos in cosmological scenarios. Compact structures of particles with variable mass are held together…

宇宙学与河外天体物理 · 物理学 2011-06-03 Alex E. Bernardini

Rotating relativistic stars are receiving significant attention in recent years, because of the information they can yield about the equation of state of matter at extremely high densities and because they are one of the more possible…

广义相对论与量子宇宙学 · 物理学 2016-10-19 Nikolaos Stergioulas

We consider the unrestricted problem of two mutually attracting rigid bodies, an uniform sphere (or a point mass) and an axially symmetric body. We present a global, geometric approach for finding all relative equilibria (stationary…

地球与行星天体物理 · 物理学 2015-05-14 Mikhail Vereshchagin , Andrzej J. Maciejewski , Krzysztof Gozdziewski

We consider the motion of point masses given by a natural extension of Newtonian gravitation to spaces of constant positive curvature. Our goal is to explore the spectral stability of tetrahedral orbits of the corresponding 4-body problem…

动力系统 · 数学 2016-03-11 Florin Diacu , Regina Martinez , Ernesto Perez-Chavela , Carles Simo

It is well known that a spherically symmetric compact star whose energy density decreases monotonically possesses an upper bound on its mass-to-radius ratio, $2M/R\leq 8/9$. However, field configurations typically will not be compact. Here…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Shahar Hod

We study the behaviour of a specific system of relativistic elasticity in its own gravitational field: a static, spherically symmetric shell whose wall is of arbitrary thickness consisting of hyperelastic material. We give the system of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 CM Losert-Valiente Kroon

We derive the equation for pressure within a neutron star, taking into account a non-zero cosmological constant ($\Lambda$). We then examine the stability of the neutron star's equilibrium state in the presence of cosmological constant. Our…

广义相对论与量子宇宙学 · 物理学 2025-04-22 Naveen K. Singh , Gopal Kashyap

Using a general relativistic exact model for spherical structures in a cosmological background, we have put forward an algorithm to calculate the test particle geodesics within such cosmological structures in order to obtain the velocity…

广义相对论与量子宇宙学 · 物理学 2016-11-26 Mohammadhosein Razbin , Javad T. Firouzjaee , Reza Mansouri

We summarize the general formalism describing surface flows in three-dimensional space in a form which is suitable for various astrophysical applications. We then apply the formalism to the analysis of non-radial perturbations of…

广义相对论与量子宇宙学 · 物理学 2009-10-31 J. Bicak , B. G. Schmidt

As a preparation for the dynamical investigations, this paper begins with a short review of the three-layer gravastar model with distinguished attention to the structure of the pertinent parameter space of gravastars in equilibrium. Then…

广义相对论与量子宇宙学 · 物理学 2014-11-21 Merse E. Gáspár , István Rácz

An expression for rotational velocity of a test particle around the central mass in the invariant plane is derived. For this, a line element of Schwarzschild de-Sitter space-time is used to study the effect of cosmological constant…

宇宙学与河外天体物理 · 物理学 2013-07-09 B. Aryal , R. Pandey , N. Baral , U. Khanal , W. Saurer

The finite size effect of electron and nucleus is accounted for in the model of atom. Due to their hard sphere repulsion the energy of the 1s orbital decreases and the corrections amount up to 8% in Uranium. Several models for boundary…

量子物理 · 物理学 2016-01-05 R. Tsekov

The aim of this paper is to study the stability of soliton-like static solutions via non-linear simulations in the context of a special class of massive tensor-multi-scalar-theories of gravity whose target space metric admits Killing…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Riccardo Falcone , Daniela D. Doneva , Kostas D. Kokkotas , Stoytcho S. Yazadjiev

This paper is devoted to study the charged perfect fluid cylindrical gravitational collapse. For this purpose, we find a new analytical solution of the field equations for non-static cylindrically symmetric spacetime. We discuss physical…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Muhammad Sharif , Ghulam Abbas

This paper is devoted to studying charged anisotropic static spherically symmetric solutions through gravitationally decoupled minimal geometric deformation technique in $f(R)$ gravity. For this purpose, we first consider the known…

广义相对论与量子宇宙学 · 物理学 2019-07-24 M. Sharif , Arfa Waseem

We numerically calculate equilibrium configurations of uniformly rotating and charged neutron stars, in the case of insulating material and neglecting the electromagnetic forces acting on the equilibrium of the fluid. This allows us to…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Jerome Novak , Emmanuel Marcq

An exactly solvable model of a quantum spin interacting with a spin environment is considered. The interaction is chosen to be such that the state of the environment is conserved. The reduced density matrix of the spin is calculated for…

量子物理 · 物理学 2007-05-23 Dima Mozyrsky
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