Non-radial oscillations of anisotropic neutron stars in the Cowling approximation

Abstract

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 studying the nonradial oscillations of neutron stars with an anisotropic pressure. We adopt the so-called Cowling approximation where the spacetime metric is kept fixed and the oscillation spectrum for the first few fluid modes is obtained. The effect of the anisotropy on the frequencies is apparent, although with the present results it might be hard to distinguish it from the changes in the frequencies caused by different equations of state.

17 pages, 8 figures; title changed, comments added

References in corpus (5)

• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Radial pulsations and stability of anisotropic stars with quasi-local equation of state
• Calibration and sensitivity of the Virgo detector during its second science run
• Stellar Oscillations in Tensor-Vector-Scalar Theory
• Modeling usual and unusual anisotropic spheres

Cited by in corpus (55)

• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• Rapidly rotating neutron stars with a massive scalar field - structure and universal relations
• The tidal deformability of an anisotropic compact star: Implications of GW170817
• Equilibrium, radial stability and non-adiabatic gravitational collapse of anisotropic neutron stars
• Relativistic strange stars in Tolman-Kuchowicz spacetime
• Anisotropic spheres via embedding approach in $\mathcal{R}+\beta {\mathcal{R}}^2$ gravity with matter coupling
• Stellar Structures in $f(\mathcal{G})$ Gravity with Tolman-Kuchowicz Spacetime
• Anisotropic stars in modified gravity: An extended gravitational decoupling approach
• $I-$Love$-C$ relation for an anisotropic neutron star
• Anisotropic quark stars in $f(R)=R^{1+\epsilon }$ gravity
• The criteria of the anisotropic quark star models in Rastall gravity
• Moment of inertia of slowly rotating anisotropic neutron stars in $f(R,T)$ gravity
• Anisotropic compact stars: Constraining model parameters to account for physical features of tidal Love numbers
• Relating Follicly-Challenged Compact Stars to Bald Black Holes
• Anisotropic pressure and hyperons in neutron stars
• Anisotropic Strange Stars in the Spotlight: Unveiling Constraints through Observational Data
• Primordial black hole formation for an anisotropic perfect fluid: Initial conditions and estimation of the threshold
• Study of Compact Stars in $\mathcal{R}+\alpha \mathcal{A}$ Gravity
• Radial pulsations, moment of inertia and tidal deformability of dark energy stars
• Embedded Class-I Solution of Compact Stars in $f(R)$ Gravity with Karmarkar Condition
• Effect of rainbow function on the structural properties of dark energy star
• Oscillation Modes and Gravitational Waves from Strangeon Stars
• Compact star in $f(T)$ gravity with Tolman-Kuchowicz metric potential
• Anisotropic quark stars in $f(R,L_m,T)$ gravity
• Effect of massive graviton on dark energy star structure
• Effects of anisotropic pressure on interacting quark star structure
• Charged strange star model in Tolman-Kuchowicz spacetime in the background of 5D Einstein-Maxwell-Gauss-Bonnet gravity
• Anisotropic Dark Matter Stars
• Non-radial oscillations in anisotropic dark energy stars
• Fluid pulsation modes and tidal deformability of anisotropic strange stars in light of the GW$170817$ event
• Acceptability Conditions and Relativistic Barotropic Equations of State
• Moment of inertia and compactness of quark stars within the context of $f(R,T,L_m)$ gravity
• Slowly rotating anisotropic relativistic stars
• Anisotropic compact star with a linear pressure-density relationship
• Non-radial oscillations and global stellar properties of anisotropic compact stars using realistic equations of state
• Acceptability Conditions and Relativistic Anisotropic Generalized Polytropes
• Universal relations for anisotropic interacting quark stars
• Five-dimensional compact stars in Einstein-Gauss-Bonnet gravity
• f-mode oscillations of anisotropic neutron stars in full general relativity
• Nonradial instabilities in anisotropic neutron stars
• Spherically symmetric anisotropic strange stars
• Fluid pulsation modes from strange stars in a higher-dimensional space-time
• Constraining the Surface Curvature of an Anisotropic Neutron Star
• Role of local anisotropy in hybrid stars
• Self-Gravitating Matter in Stationary and Axisymmetric Black Hole Spacetimes
• Phase transition and stiffer core fluid in neutron stars: Effects on stellar configurations, dynamical stability, and tidal deformability
• The effect of pressure anisotropy on quark stars structure in the Starobinsky model
• Quasi-normal f-modes of anisotropic quark stars in full general relativity
• A multi-parameter expansion for the evolution of asymmetric binaries in astrophysical environments
• Anisotropic pressure effect on central EOS of PSR J0740+6620 in the light of dimensionless TOV equation
• Gravitational-Wave Constraints on Neutron-Star Pressure Anisotropy via Universal Relations
• Axial $w$-modes of anisotropic neutron stars
• Geometric properties of slowly rotating black holes embedded in matter environments
• Nonradial oscillations of realistic anisotropic neutron stars: Axial modes
• Gravitational wave seismology of charged strange stars in the Cowling approximation: the fluid pulsation modes