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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…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Néstor Rivero González , Álvaro de la Cruz Dombriz , Gonzalo J. Olmo

We calculate non-axisymmetric oscillations of uniformly rotating polytropes magnetized with a purely toroidal magnetic field, taking account of the effects of the deformation due to the magnetic field. As for rotation, we consider only the…

Solar and Stellar Astrophysics · Physics 2015-06-24 Hidetaka Asai , Umin Lee , Shijun Yoshida

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…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Borja Reina

We develop a non-parametric method for inferring the universal neutron star (NS) equation of state (EOS) from gravitational wave (GW) observations. Many different possible realizations of the EOS are generated with a Gaussian process…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Philippe Landry , Reed Essick

The gravitational-wave (GW) asteroseismology is a powerful technique for extracting interior information of compact objects. In this work, we focus on spacetime modes, the so-called $w$-modes, of GWs emitted from a proto-neutron star (PNS)…

High Energy Astrophysical Phenomena · Physics 2017-11-17 Hajime Sotani , Takami Kuroda , Tomoya Takiwaki , Kei Kotake

In numerical simulations of binary neutron star systems, the equation of state of the dense neutron star matter is an important factor in determining both the physical realism and the numerical accuracy of the simulations. Some equations of…

High Energy Astrophysical Phenomena · Physics 2023-07-10 Alexander Knight , Francois Foucart , Matthew D. Duez , Mike Boyle , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel

Non-radial oscillation modes of a neutron star possess valuable information about its internal structure and nuclear physics. Starting from the quadrupolar order, such modes under general relativity are known as quasi-normal modes since…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Shu Yan Lau , Siddarth Ajith , Victor Guedes , Kent Yagi

Space missions like CoRoT and Kepler have provided numerous new observations of stellar oscillations in a multitude of stars by high precision photometry. This work compares the observed rich oscillation spectrum of the rapidly rotating B3…

Solar and Stellar Astrophysics · Physics 2015-06-17 G. J. Savonije

We explore constraints on the equation of state (EOS) of neutron-rich matter based on microscopic calculations up to nuclear densities and observations of neutron stars. In a previous work we showed that predictions based on modern nuclear…

High Energy Astrophysical Phenomena · Physics 2020-10-08 S. K. Greif , K. Hebeler , J. M. Lattimer , C. J. Pethick , A. Schwenk

High-accuracy numerical simulations of merging neutron stars play an important role in testing and calibrating the waveform models used by gravitational wave observatories. Obtaining high-accuracy waveforms at a reasonable computational…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Francois Foucart , Matthew D. Duez , Alana Gudinas , Francois Hebert , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel

We conduct a direct comparison of three different representative numerical codes for constructing models of rapidly rotating neutron stars in general relativity. Our aim is to evaluate the accuracy of the codes and to investigate how the…

General Relativity and Quantum Cosmology · Physics 2011-05-23 Tetsuo Nozawa , Nikolaos Stergioulas , Eric Gourgoulhon , Yoshiharu Eriguchi

Recently, it has been reported that a candidate for a quark star may have been observed. In this article, we pay attention to quark stars with radiation radii in the reported range. We calculate nonradial oscillations of $f$-, $w$- and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hajime Sotani , Tomohiro Harada

In this theoretical study, we report an investigation of the equations of state (EoSs) ofhyper-nuclear matter and its composition as a function of density within the framework of effective field theory motivated relativistic mean field…

Nuclear Theory · Physics 2017-08-03 M. Bhuyan , B. V. Carlson , S. -G. Zhou , S. K. Patra

We consider both mode calculations and time evolutions of axial r-modes for relativistic uniformly rotating non-barotropic neutron stars, using the slow-rotation formalism, in which rotational corrections are considered up to linear order…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Johannes Ruoff , Kostas D. Kokkotas

We present the formalism and numerical results for torsional oscillations of relativistic stars endowed with a strong dipole magnetic field. We do a systematic search of parameter space by computing torsional mode frequencies for various…

Astrophysics · Physics 2008-11-26 H. Sotani , K. D. Kokkotas , N. Stergioulas

We study nonaxisymmetric perturbations of rotating relativistic stars. modeled as perfect-fluid equilibria. Instability to a mode with angular dependence $\exp(im\phi)$ sets in when the frequency of the mode vanishes. The locations of these…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Nikolaos Stergioulas , John L. Friedman

We investigate the impact of a hypothetical bosonic dark matter (DM) candidate, the sexaquark, on the fundamental ($f$-mode) oscillations of neutron stars (NSs). By varying the DM particle mass and considering different core compositions…

Nuclear Theory · Physics 2026-03-11 Mahboubeh Shahrbaf , Prashant Thakur , Davood Rafiei Karkevandi

We discuss the dependence of the pulsation frequencies of the axial quasi-normal modes of a nonrotating neutron star upon the equation of state describing the star interior. The continued fraction method has been used to compute the complex…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. Benhar , E. Berti , V. Ferrari

Core-collapse simulations of massive stars are performed using the equation of state (EOS) based on the microscopic variational calculation with realistic nuclear forces. The progenitor models with the initial masses of $15M_\odot$,…

High Energy Astrophysical Phenomena · Physics 2021-06-30 Ken'ichiro Nakazato , Kohsuke Sumiyoshi , Hajime Togashi

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