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The merger of binary neutron stars is likely to lead to differentially rotating remnants. In this paper, we survey several cold nuclear equations of state (EOSs) and numerically construct models of differentially rotating neutron stars in…

Astrophysics · Physics 2009-11-10 Ian A. Morrison , Thomas W. Baumgarte , Stuart L. Shapiro

A self-consistent field method is developed, which can be used to construct models of differentially rotating stars to first post-Newtonian order. The rotation law is specified by the specific angular momentum distribution j(m), where m is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yuk Tung Liu

The merger of binary neutron stars is likely to lead to differentially rotating remnants. In this paper we numerically construct models of differentially rotating neutron stars in general relativity and determine their maximum allowed mass.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Nicholas D. Lyford , Thomas W. Baumgarte , Stuart L. Shapiro

Modelling isolated rotating stars at any rotation rate is a challenge for the next generation of stellar models. These models will couple dynamical aspects of rotating stars, like angular momentum and chemicals transport, with classical…

Solar and Stellar Astrophysics · Physics 2015-06-11 Michel Rieutord , Francisco Espinosa Lara

We calculate stationary configurations of rapidly rotating compact stars in general relativity, to study the properties of circular orbits of test particles in the equatorial plane. We search for simple, but precise, analytical formulae for…

Solar and Stellar Astrophysics · Physics 2011-06-14 M. Bejger , J. L. Zdunik , P. Haensel

Multiple sets of synthetic spectra of OB-binary stars are used to test the suitability of disentangling for deriving accurate spectroscopic orbits. Given a set of spectra with broad phase coverage and sufficient total integration time…

Astrophysics · Physics 2007-05-23 R. I. Hynes , P. F. L. Maxted

We give a detailed description of the recently developed multi-domain spectral method for constructing highly accurate general-relativistic models of rapidly rotating stars. For both "ordinary" and "critical" configurations, it is exhibited…

Astrophysics · Physics 2010-12-23 M. Ansorg , A. Kleinwächter , R. Meinel

Rotation contributes to internal mixing processes and observed variability in massive stars. A significant number of binary stars are not in strict synchronous rotation, including all eccentric systems. This leads to a tidally induced and…

Solar and Stellar Astrophysics · Physics 2021-09-29 Gloria Koenigsberger , Edmundo Moreno , Norbert Langer

The spherically symmetric thin shells of the barotropic fluids with the linear equation of state are considered within the frameworks of general relativity. We study several aspects of the shells as completely relativistic models of stars,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Konstantin G. Zloshchastiev

A new type of elasticity of random (multifractal) structures is suggested. A closed system of constitutive equations is obtained on the basis of two proposed phenomenological laws of reversible deformations of multifractal structures. The…

Materials Science · Physics 2007-05-23 Alexander S. Balankin

A general formalism to find the density profile of a slowly rotating stellar object in modified gravity is presented. We derive a generic Lane-Emden equation and its analytical solution for a wide class of modified theories of gravity.

General Relativity and Quantum Cosmology · Physics 2022-12-23 Shaswata Chowdhury , Pritam Banerjee , Aneta Wojnar

This work aims at presenting the first two-dimensional models of an isolated rapidly rotating star that include the derivation of the differential rotation and meridional circulation in a self-consistent way.We use spectral methods in…

Solar and Stellar Astrophysics · Physics 2015-06-12 F. Espinosa Lara , M. Rieutord

Neutron stars are commonly considered as astronomical objects having highdensity interiors and an inner core region in which various hadronic matter phases are expected. Several studies show that the inner structures affect macroscopic…

High Energy Astrophysical Phenomena · Physics 2016-06-22 Tomoki Endo

The propagation of acoustic or elastic waves in artificial crystals, including the case of phononic and sonic crystals, is inherently anisotropic. As is known from the theory of periodic composites, anisotropy is directly dictated by the…

Classical Physics · Physics 2023-06-30 Vincent Laude , Julio Andres Iglesias Martinez , Yan-Feng Wang , Muamer Kadic

We construct relativistic equilibrium models of differentially rotating neutron stars and show that they can support significantly more mass than their nonrotating or uniformly rotating counterparts. We dynamically evolve such…

Astrophysics · Physics 2011-05-05 Thomas W. Baumgarte , Stuart L. Shapiro , Masaru Shibata

We present a new method of analysing and quantifying velocity structure in star forming regions suitable for the rapidly increasing quantity and quality of stellar position-velocity data. The method can be applied to data in any number of…

Solar and Stellar Astrophysics · Physics 2018-12-26 Becky Arnold , Simon Goodwin

We revisit the problem of radial pulsations of neutron stars by computing four general-relativistic polytropic models, in which "density" and "adiabatic index" are involved with their discrete meanings: (i) "rest-mass density" or (ii)…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Vassilis Geroyannis , Georgios Kleftogiannis

The Rossiter-McLaughlin (RM) effect has been widely used to estimate the sky-projected spin-orbit angle, $\lambda$, of transiting planetary systems. Most of the previous analysis assume that the host stars are rigid rotators in which the…

Earth and Planetary Astrophysics · Physics 2021-11-17 Shin Sasaki , Yasushi Suto

Tracking on the rotation group is a key component of many modern systems for estimation of the motion of rigid bodies. To address this problem, here we describe a Bayesian algorithm that relies on directional measurements for tracking on…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Sofia Suvorova , Stephen D. Howard , Bill Moran

Context: Rapid rotation modifies the structure of the frequency spectrum of pulsating stars, thus making mode identification difficult. Aims: We look for new forms of organisation for the frequency spectrum that can provide a basis for mode…

Astrophysics · Physics 2009-11-13 D. Reese , F. Lignières , M. Rieutord