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We calculated the ellipticity of the deformed star due to the rotation or magnetic field. These two effects are compared to each other within general relativity. It turned out that the magnetic distortion is important for recently observed…

Astrophysics · Physics 2011-05-23 K. Konno , T. Obata , Y. Kojima

One of the most common assumptions in the study of neutron star models and their oscillations is that the pressure is isotopic, however there are arguments that this may not be correct. Thus in the present paper we make a first step towards…

General Relativity and Quantum Cosmology · Physics 2012-06-25 Daniela D. Doneva , Stoytcho S. Yazadjiev

With the onset of the era of gravitational-wave (GW) astronomy, the search for continuous gravitational waves (CGWs), which remain undetected to date, has intensified in more ways than one. Rapidly rotating neutron stars with…

High Energy Astrophysical Phenomena · Physics 2024-01-02 Amlan Nanda

It is usually believed that the Cowling approximation can give satisfactory solutions if the stars %are highly compressible have soft equations of state and/or if the strongly general relativistic stars are treated in the case of rigid…

Astrophysics · Physics 2009-11-07 Shigeyuki Karino

Relativistic Cowling approximation in which all metric perturbations are omitted is applied to non-axisymmetric infinitesimal oscillations of uniformly rotating general relativistic polytropes. Frequencies of lower order f-modes which are…

Astrophysics · Physics 2009-10-30 Shin'ichirou Yoshida , Yoshiharu Eriguchi

Certain multi-wavelength observations of neutron stars, such as intermittent radio emissions from rotation-powered pulsars beyond the pair-cascade death line, the pulse profile of the magnetar SGR 1900+14 after its 1998 August 27 giant…

High Energy Astrophysical Phenomena · Physics 2013-07-19 Alpha Mastrano , Paul D. Lasky , Andrew Melatos

We have computed models of rotating relativistic stars with a toroidal magnetic field and investigated the combined effects of magnetic field and rotation on the apparent shape (i.e. the surface deformation), which could be relevant for the…

General Relativity and Quantum Cosmology · Physics 2014-02-14 Joachim Frieben , Luciano Rezzolla

We find numerical solutions of the coupled system of Einstein-Maxwell's equations with a linear approach, in which the magnetic field acts as a perturbation of a spherical neutron star. In our study, magnetic fields having both poloidal and…

Astrophysics · Physics 2009-11-13 A. Colaiuda , V. Ferrari , L. Gualtieri , J. A. Pons

The relativistic Cowling approximation, where the metric perturbations are neglected during the fluid oscillations, is often adopted for considering the gravitational waves from the protoneutron stars (PNSs) provided via core-collapse…

High Energy Astrophysical Phenomena · Physics 2020-10-07 Hajime Sotani , Tomoya Takiwaki

A strong candidate for a source of gravitational waves is a highly magnetised, rapidly rotating neutron star (magnetar) deformed by internal magnetic stresses. We calculate the mass quadrupole moment by perturbing a zeroth-order hydrostatic…

High Energy Astrophysical Phenomena · Physics 2011-10-25 Alpha Mastrano , Andrew Melatos , Andreas Reisenegger , Taner Akgün

The evolution of the gravitational-wave phase in the signal produced by inspiralling binaries of compact stars is modified by the nonzero deformability of the two stars. Hence, the measurement of these corrections has the potential of…

High Energy Astrophysical Phenomena · Physics 2020-11-03 Zhenyu Zhu , Ang Li , Luciano Rezzolla

We study a class of Newtonian models for the deformations of non-magnetized neutron stars during their spin-down. The models have all an analytical solution, and thus allow to understand easily the dependence of the strain on the star's…

High Energy Astrophysical Phenomena · Physics 2020-10-26 Elia Giliberti , Marco Antonelli , Gabriele Cambiotti , Pierre Pizzochero

Despite their long history and astrophysical importance, some of the key properties of neutron stars are still uncertain. The extreme conditions encountered in their interiors, involving matter of uncertain composition at extreme density…

General Relativity and Quantum Cosmology · Physics 2020-11-13 Katerina Chatziioannou

Models of rotating relativistic stars with a toroidal magnetic field have been computed for a sample of eight equations of state of cold dense matter. Non-rotating models admit important levels of magnetization and quadrupole distortion…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Joachim Frieben , Luciano Rezzolla

A recipe is presented to construct an analytic, self-consistent model of a non-barotropic neutron star with a poloidal-toroidal field of arbitrary multipole order, whose toroidal component is confined in a torus around the neutral curve…

High Energy Astrophysical Phenomena · Physics 2015-01-26 Alpha Mastrano , Arthur George Suvorov , Andrew Melatos

Rotating deformed neutron stars are important potential sources for groundbased gravitational-wave interferometers such as LIGO, GE0600 and VIRGO. One mechanism that may lead to significant non-asymmetries is the internal magnetic field. It…

Astrophysics · Physics 2009-11-13 B. Haskell , L. Samuelsson , K. Glampedakis , N. Andersson

We formulate deformation of relativistic stars due to the magnetic stress, considering the magnetic fields to be perturbations from spherical stars. The ellipticity for the dipole magnetic field is calculated for some stellar models. We…

General Relativity and Quantum Cosmology · Physics 2011-05-23 K. Konno , T. Obata , Y. Kojima

Magnetic field may distort neutron stars (NSs), but its effect has not been robustly tested through gravitational-wave observation yet due to the absence of a fast rotating Galactic magnetar. Part of gamma-ray bursts (GRBs) are potential to…

High Energy Astrophysical Phenomena · Physics 2022-10-19 Tingting Lin , Shuang Du , Weihua Wang , Shujin Hou , Renxin Xu

We have calculated the non-radial oscillation in slowly rotating relativistic stars with the Cowling approximation. The frequencies are compared with those based on the complete linearized equations of general relativity. It is found that…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shijun Yoshida , Yasufumi Kojima

We investigate how gravitational wave (GW) observations can probe the internal physics of neutron stars by extending the Tolman-Oppenheimer-Volkoff framework to include pressure anisotropy and internal magnetic fields. Two representative…

High Energy Astrophysical Phenomena · Physics 2025-12-04 Zhao-Wei Du , Xi-Long Fan
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