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We discuss the equation of motion of the rotating homogenous and isotropic model of the Universe. We show that the model predicts the presence of a minimum in the relation between the mass of an astronomical object and its angular momentum.…

Astrophysics · Physics 2015-06-24 Wlodzimierz Godlowski , Marek Szydlowski , Piotr Flin , Monika Biernacka

Spectral energy distributions for models of arbitrarily rotating stars are computed using two dimensional rotating stellar models, NLTE plane parallel model atmospheres, and a code to integrate the appropriately weighted intensities over…

Astrophysics · Physics 2008-05-09 A. Gillich , R. Deupree , C. Lovekin , I. Short , N. Toque

For general relativistic equilibrium stellar models (stationary axisymmetric asymptotically flat and convection-free) with differential rotation, it is shown that for a wide class of rotation laws the distribution of angular velocity of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. J. Pareja

Assuming a suitable rotation of the Universe as a whole, we can attribute the rotation of galaxies to it. Using Lagrangian Mechanics we then can find the equations governing the rotation of a galaxy. We find in this way the azimuthal…

General Physics · Physics 2012-05-30 Evangelos Chaliasos

This paper is a review of the dynamics of a system of planets. It includes the study of averaged equations in both non-resonant and resonant systems and shows the great deal of situations in which the angle between the two semi-major axes…

Astrophysics · Physics 2007-05-23 S. Ferraz-Mello , T. A. Michtchenko , C. Beauge

Neutron stars are the densest objects known in the Universe. Being the final product of stellar evolution, their internal composition and structure is rather poorly constrained by measurements. It is the purpose of this paper to put some…

High Energy Astrophysical Phenomena · Physics 2015-05-19 J. Petri

In this work, we study the influence of $f(R,T)$ gravity on rapidly rotating neutron stars. First we discuss the main aspects of this modified theory of gravity where the gravitational Lagrangian is an arbitrary function of the Ricci scalar…

General Relativity and Quantum Cosmology · Physics 2023-05-03 F. M. da Silva , L. C. N. Santos , C. E. Mota , T. O. F. da Costa , J. C. Fabris

We use time-evolutions of the linear perturbation equations to study the oscillations of rapidly rotating neutrons stars. Our models account for the buoyancy due to composition gradients and we study, for the first time, the nature of the…

Astrophysics · Physics 2009-11-13 A. Passamonti , B. Haskell , N. Andersson , D. I. Jones , I. Hawke

In this chapter we review the recent results on the equilibrium configurations of static and uniformly rotating neutron stars within the Hartle formalism. We start from the Einstein-Maxwell-Thomas-Fermi equations formulated and extended by…

High Energy Astrophysical Phenomena · Physics 2016-09-03 Kuantay Boshkayev

The frequency shift of light in the gravitational field generated by a rotating body is investigated. We consider the scenario in which both the light source and the observer are in motion. The frequency shift is calculated up to the…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Chunhua Jiang , Bo Yang , Guansheng He , Wenbin Lin

We present a new derivation of the perturbation equations governing the oscillations of relativistic non-rotating neutron star models using the ADM-formalism. This formulation has the advantage that it immediately yields the evolution…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Johannes Ruoff

We derive the scaling of differential rotation in both slowly- and rapidly-rotating convection zones using order of magnitude methods. Our calculations apply across stars and fluid planets and all rotation rates, as well as to both…

Solar and Stellar Astrophysics · Physics 2020-09-02 Adam S. Jermyn , Shashikumar M. Chitre , Pierre Lesaffre , Christopher A. Tout

This paper examines the behaviour of closed `lattice universes' wherein masses are distributed in a regular lattice on the Cauchy surfaces of closed vacuum universes. Such universes are approximated using a form of Regge calculus originally…

General Relativity and Quantum Cosmology · Physics 2016-01-13 Rex G. Liu , Ruth M. Williams

We consider strong gravitational lensing by nearby stars. Using our wave-optical treatment of lensing phenomena, we study Einstein rings that may form around nearby stellar lenses. It is remarkable that these rings are bright and large…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Slava G. Turyshev , Viktor T. Toth

In this review we summarize the current understanding of the gravitational-wave driven instability associated with the so-called r-modes in rotating neutron stars. We discuss the nature of the r-modes, the detailed mechanics of the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 N. Andersson , K. D. Kokkotas

General relativity predicts that a rotating body produces a frame-dragging (or Lense-Thirring) effect: the orbital plane of a test particle in a non-equatorial orbit precesses about the body's symmetry axis. In this paper we compute the…

Astrophysics · Physics 2009-10-30 Sharon M. Morsink , Luigi Stella

We investigate induced oscillations by the gravitational field of a fast stellar object, such as a neutron star or a black-hole in a near miss collision with another star. Non-adiabatic collision conditions may lead to large amplitude…

Solar and Stellar Astrophysics · Physics 2015-06-19 C. A. Bertulani , M. Naizer , W. Newton

The stability properties of rotating relativistic stars against prompt gravitational collapse to a black hole are rather well understood for uniformly rotating models. This is not the case for differentially rotating neutron stars, which…

General Relativity and Quantum Cosmology · Physics 2018-01-12 Lukas R. Weih , Elias R. Most , Luciano Rezzolla

Universal relations that are insensitive to the equation of state (EoS) are useful in reducing the parameter space when measuring global quantities of neutron stars (NSs). In this paper, we reveal a new universal relation that connects the…

High Energy Astrophysical Phenomena · Physics 2023-08-22 Yong Gao , Lijing Shao , Jan Steinhoff

The past years have witnessed tremendous progress in understanding the properties of neutron stars and of the dense matter in their cores, made possible by electromagnetic observations of neutron stars and the detection of gravitational…