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Hartle's model for slowly rotating stars has been extensively used to compute equilibrium configurations of slowly rotating stars to second order in perturbation theory in General Relativity, given a barotropic equation of state (EOS). A…

广义相对论与量子宇宙学 · 物理学 2015-12-16 Borja Reina

The equilibrium configurations of slowly rotating anisotropic self-gravitating fluids are computed using the extended Hartle structure equations, including anisotropic effects, derived in our previous paper. We focus on the so-called…

广义相对论与量子宇宙学 · 物理学 2025-10-20 Philip Beltracchi , Camilo Posada

Drake and Szekeres have extended the Newman-Janis algorithm to produce stationary axisymmetric spacetimes from general static spherically symmetric solutions of the Einstein equations. The algorithm mathematically generates an…

广义相对论与量子宇宙学 · 物理学 2022-01-05 Philip Beltracchi , Paolo Gondolo

In this work, we study the impact of anisotropy on slowly rotating neutron stars by extending the Hartle-Thorne formalism in general relativity to include anisotropy in pressure up to second order in the angular velocity. We assess the…

广义相对论与量子宇宙学 · 物理学 2024-10-10 L. M. Becerra , E. A. Becerra-Vergara , F. D. Lora-Clavijo

We study the stability of patterns arising in rotating convection in weakly anisotropic systems using a modified Swift-Hohenberg equation. The anisotropy, either an endogenous characteristic of the system or induced by external forcing, can…

斑图形成与孤子 · 物理学 2009-11-07 Alex Roxin , Hermann Riecke

The present paper is devoted to a study of the equilibrium configurations of slowly rotating anisotropic stars in the framework of general relativity. For that purpose, we provide the equations of structure where the rotation is treated to…

广义相对论与量子宇宙学 · 物理学 2024-07-23 Philip Beltracchi , Camilo Posada

Hartle's model provides the most widely used analytic framework to describe isolated compact bodies rotating slowly in equilibrium up to second order in perturbations in the context of General Relativity. Apart from some explicit…

广义相对论与量子宇宙学 · 物理学 2015-05-20 Borja Reina , Raül Vera

Hartle's slow rotation formalism is developed in the presence of a cosmological constant. We find the generalisation of the Hartle-Thorne vacuum metric, the Hartle-Thorne-(anti)-de Sitter metric, and find that it is always asymptotically…

广义相对论与量子宇宙学 · 物理学 2015-11-12 Christian G. Boehmer , Matthew Wright

A static rotating cosmic string metric is singular along a timelike line and fails to be globally hyperbolic; these features make it difficult to solve the wave equation by conventional energy methods. Working on a single angular mode at a…

偏微分方程分析 · 数学 2022-04-28 Katrina Morgan , Jared Wunsch

We apply the Hartle formalism to study equilibrium configurations in the framework of Newtonian gravity. This approach allows one to study in a simple manner the properties of the interior gravitational field in the case of static as well…

太阳与恒星天体物理 · 物理学 2016-05-04 Kuantay Boshkayev , Hernando Quevedo , Zhanerke Kalymova , Bakytzhan Zhami

We build slowly rotating anisotropic neutron stars using the Hartle-Thorne formalism, employing three distinct anisotropy models--Horvat, Bowers-Liang, and a covariant model--to characterize the relationship between radial and tangential…

高能天体物理现象 · 物理学 2025-04-24 L. M. Becerra , E. A. Becerra-Vergara , F. D. Lora-Clavijo

Rotation is ubiquitous in the Universe, and recent kinematic surveys have shown that early type galaxies and globular clusters are no exception. Yet the linear response of spheroidal rotating stellar systems has seldom been studied. This…

The sigma-model of closed strings spinning in the $\eta$-deformation of $AdS_{5} \times S^{5}$ leads to an integrable deformation of the one-dimensional Neumann-Rosochatius mechanical system. In this article we construct general solutions…

高能物理 - 理论 · 物理学 2017-10-25 Rafael Hernandez , Juan Miguel Nieto

We show how (at least in principle) one can construct electrically and magnetically charged slowly rotating black hole solutions coupled to non-linear electrodynamics (NLE). Our generalized Lense-Thirring ansatz is, apart from the static…

广义相对论与量子宇宙学 · 物理学 2022-05-13 David Kubiznak , Tayebeh Tahamtan , Otakar Svitek

We study slowly rotating black hole solutions within Degenerate Higher Order Scalar Tensor (DHOST) theories. Starting from a static, spherically symmetric metric solution of a DHOST theory, we employ the Hartle-Thorne ansatz to model a…

广义相对论与量子宇宙学 · 物理学 2025-12-22 Hugo Candan , Karim Noui , David Langlois

A Continuous Galerkin method-based approach is presented to compute the seismic normal modes of rotating planets. Special care is taken to separate out the essential spectrum in the presence of a fluid outer core using a polynomial…

计算物理 · 物理学 2021-09-28 Jia Shi , Ruipeng Li , Yuanzhe Xi , Yousef Saad , Maarten V. de Hoop

Adding linear combinations $R^2,R_{\mu\nu}R^{\mu\nu}$ and $R_{\mu\nu\eta\delta}R^{\mu\nu\eta\delta}$ with Einstein-Hilbert action we obtain interior metric of an an-isotropic spherically symmetric collapsing (ASSC) stellar cloud. We assume…

综合物理 · 物理学 2015-12-14 Hossein Ghaffarnejad

We show that it is possible to obtain credible static anisotropic spherically symmetric matter configurations starting from known density profiles and satisfying a nonlocal equation of state. These particular types of equation of state…

广义相对论与量子宇宙学 · 物理学 2015-06-25 H. Hernandez , L. A. Nunez

We study the rotations of a heavy string (helicoseir) about a vertical axis with one free endpoint and with arbitrary density, under the action of the gravitational force. We show that the problem can be transformed into a nonlinear…

计算物理 · 物理学 2023-02-15 Paolo Amore , John P. Boyd , Abigail Márquez

We construct models of rotating stars using the perturbative approach introduced by J. Hartle in 1967, and a set of equations of state proposed to model hadronic interactions in the inner core of neutron stars. We integrate the equations of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Omar Benhar , Valeria Ferrari , Leonardo Gualtieri , Stefania Marassi
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