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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

We present the results of numerical time evolutions of the linearised perturbations of rapidly and rigidly rotating Newtonian polytropes while making the Cowling approximation. The evolution code runs stably for hundreds of stellar…

Astrophysics · Physics 2009-11-07 D. I. Jones , N. Andersson , N. Stergioulas

Very high precision seismic space missions such as CoRoT and Kepler provide the means of testing the modeling of transport processes in stellar interiors. For some stars, such as solar-like and red giant stars, a rotational splitting is…

Solar and Stellar Astrophysics · Physics 2015-06-11 Rhita-Maria Ouazzani , Marc-Antoine Dupret , Daniel Reese

Highly magnetized neutron stars are promising candidates to explain some of the most peculiar astronomical phenomena, for instance, fast radio bursts, gamma-ray bursts, and superluminous supernovae. Pulsations of these highly magnetized…

High Energy Astrophysical Phenomena · Physics 2023-03-13 Man Yin Leung , Anson Ka Long Yip , Patrick Chi-Kit Cheong , Tjonnie Guang Feng Li

Asteroseismology has opened a window on the internal physics of thousands of stars, by relating oscillation spectra properties to the internal physics of stars. Mode identification, namely the process of associating a measured oscillation…

Solar and Stellar Astrophysics · Physics 2022-09-21 Giovanni Marcello Mirouh

We present computed spectra, as seen by a distant observer, from the accretion disc around a rapidly rotating neutron star. Our calculations are carried out in a fully general relativistic framework, with exact treatment of rotation. We…

Astrophysics · Physics 2009-11-06 Sudip Bhattacharyya , Dipankar Bhattacharya , Arun V. Thampan

We study the Cowling approximation by analytical means as applied to a system of linear differential equations arising from models of non-radial stellar pulsation. We consider various asymptotic cases, including those of high harmonic…

Mathematical Physics · Physics 2025-07-22 Christopher J. Winfield

In this paper we study radial oscillations of rotating strange stars in strong magnetic fields in the Density Dependent Quark Mass (DDQM) model. We see that increase of frequency i.e. difference in frequency of rotating and non-rotating…

Astrophysics · Physics 2007-05-23 S. Singh , N. Chandrika Devi , V. K. Gupta , Asha Gupta , J. D. Anand

Context: Mode identification has remained a major obstacle in the interpretation of pulsation spectra in rapidly rotating stars. Aims: We would like to test mode identification methods and seismic diagnostics in rapidly rotating stars,…

Solar and Stellar Astrophysics · Physics 2017-05-24 D. R. Reese , F. Lignières , J. Ballot , M. -A. Dupret , C. Barban , C. van 't Veer-Menneret , K. B. MacGregor

In this article, we investigate inertial modes of rigidly rotating neutron stars, i.e. modes for which the Coriolis force is dominant. This is done using the assumption of a fixed spacetime (Cowling approximation). We present frequencies…

Astrophysics · Physics 2008-11-26 Wolfgang Kastaun

Perturbations of rotating relativistic stars can be classified by their behavior under parity. For axial perturbations (r-modes), initial data with negative canonical energy is found with angular dependence $e^{im\phi}$ for all values of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 John L. Friedman , Sharon M. Morsink

We present a new derivation of the equations governing the oscillations of slowly rotating relativistic stars. Previous investigations have been mostly carried out in the Regge-Wheeler gauge. However, in this gauge the process of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Johannes Ruoff , Adamantios Stavridis , Kostas D. Kokkotas

We present new results on dynamical instabilities in rapidly rotating neutron-stars. In particular, using numerical simulations in full General Relativity, we analyse the effects that the stellar compactness has on the threshold for the…

Astrophysics · Physics 2008-11-26 G. M. Manca , L. Baiotti , R. De Pietri , L. Rezzolla

Despite more and more observational data, stellar acoustic oscillation modes are not well understood as soon as rotation cannot be treated perturbatively. In a way similar to semiclassical theory in quantum physics, we use acoustic ray…

Solar and Stellar Astrophysics · Physics 2011-09-16 M. Pasek , B. Georgeot , F. Lignieres , D. R. Reese

Quasi-periodic X-ray brightness oscillations (QPOs) with frequencies around a kilohertz have now been discovered in more than a dozen neutron stars in low-mass X-ray binary systems using the Rossi X-ray Timing Explorer. There is strong…

Astrophysics · Physics 2009-10-30 M. Coleman Miller , Frederick K. Lamb , Gregory B. Cook

We study the secular evolution and gravitational wave signature of a newly-formed, rapidly rotating neutron star. The neutron star may arise from core collapse in a massive star or from the accretion-induced collapse of a white dwarf. After…

Astrophysics · Physics 2009-10-22 Dong Lai , Stu Shapiro

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

The asteroseismology of rapidly rotating pulsating stars is hindered by our poor knowledge of the effect of the rotation on the oscillation properties. Here we present an asymptotic analysis of high-frequency acoustic modes in rapidly…

Solar and Stellar Astrophysics · Physics 2015-05-13 F. Lignieres , B. Georgeot

The oscillation spectrum of pressure waves in stars can be determined by monitoring their luminosity. For rapidly rotating stars, the corresponding ray dynamics is mixed, with chaotic and regular zones in phase space. Our numerical…

Solar and Stellar Astrophysics · Physics 2019-04-22 Benjamin Evano , Bertrand Georgeot , François Lignières

The frequencies of r-mode oscillations of rotating neutron stars can be useful for guiding and interpreting gravitational wave and electromagnetic observations. The frequencies of slowly rotating, barotropic, and non-magnetic Newtonian…

General Relativity and Quantum Cosmology · Physics 2015-01-14 Ashikuzzaman Idrisy , Benjamin J. Owen , David I. Jones
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