Constraining the $f$-mode oscillations frequency in Neutron Stars through Universal Relations in the realm of Energy-Momentum Squared Gravity

Abstract

Neutron stars (NSs), superdense objects with exceptionally strong gravitational fields, provide an ideal laboratory for probing general relativity (GR) in the high-curvature regime. They also present an exciting opportunity to explore new gravitational physics beyond the traditional framework of GR. Thus, investigating alternative theories of gravity in the context of superdense stars is intriguing and essential for advancing our understanding of gravitational phenomena in extreme environments. Energy-Momentum Squared Gravity (EMSG) is a modified theory of gravity that extends GR by including nonlinear terms involving the energy-momentum tensor $T_{\mu \nu }$. This study examines the effects of EMSG on the properties and behaviour of NSs by varying the free parameter $\alpha$. The hydrostatic equilibrium equations in the EMSG framework are derived and solved numerically to obtain mass-radius relations for soft, stiff, and intermediate equations of state (EOS). Observational measurements of NS masses and radii are used to constrain the fundamental-mode ($f$-mode) oscillation frequency through its universal relation with the tidal Love number and compactness. Results indicate that the Stiff EOS undergoes a phase transition at the highest energy densities and pressures, followed by the Intermediate and Soft EOSs, highlighting the distinctive characteristics of these models. Additionally, the study explores the impact of EOS choice on the sound speed profile of NSs, reaffirming the physical validity of the models across varying $\alpha$ values.

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References in corpus (61)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Multi-messenger Observations of a Binary Neutron Star Merger
• Extended Theories of Gravity
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Quasi-Normal Modes of Stars and Black Holes
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Properties of the binary neutron star merger GW170817
• Swope Supernova Survey 2017a (SSS17a), the Optical Counterpart to a Gravitational Wave Source
• f(R,L_m) gravity
• Towards gravitational-wave asteroseismology
• I-Love-Q Relations in Neutron Stars and their Applications to Astrophysics, Gravitational Waves and Fundamental Physics
• I-Love-Q
• Maximum mass, moment of inertia and compactness of relativistic stars
• Stellar structure models in modified theories of gravity: lessons and challenges
• The Lagrangian description of perfect fluids and modified gravity with an extra force
• Energy-Momentum Squared Gravity
• $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity and Cardassian-like expansion as one of its consequences
• Signatures of hadron-quark mixed phase in gravitational waves
• Radial oscillations of relativistic stars
• Cosmological Models in Energy-Momentum-Squared Gravity
• Compact stars in Energy-Momentum Squared Gravity
• The imprint of the equation of state on the axial w-modes of oscillating neutron stars
• Multipolar universal relations between f-mode frequency and tidal deformability of compact stars
• Fundamental oscillation modes of neutron stars: validity of universal relations
• Inferring neutron star properties from GW170817 with universal relations
• Cosmic acceleration in dust only Universe via energy-momentum powered gravity
• Oscillations of General Relativistic Superfluid Neutron Stars
• Constraint on energy-momentum squared gravity from neutron stars and its cosmological implications
• R-modes in neutron stars: Theory and observations
• Secondary component of gravitational-wave signal GW190814 as an anisotropic neutron star
• General relativistic treatment of $f$-mode oscillations of hyperonic stars
• A new mechanism for saturating unstable r-modes in neutron stars
• Universal Relations for Neutron Star F-Mode and G-Mode Oscillations
• Discriminating hadronic and quark stars through gravitational waves of fluid pulsation modes
• Oscillation modes of hybrid stars within the relativistic Cowling approximation
• Effect of hyperons on f-mode oscillations in Neutron Stars
• g-mode Oscillations in Hybrid Stars: A Tale of Two Sounds
• Black hole-neutron star mergers are unlikely multi-messenger sources
• Impacts of dark matter on the $f$-mode oscillation of hyperon star
• Impact of the equation of state on $f$- and $p$- mode oscillations of neutron stars
• Analytic I-Love-C relations for realistic neutron stars
• A New Gravitational Wave Signature of Low-$T/|W|$ Instability in Rapidly Rotating Stellar Core Collapse
• Radial Oscillations of Dark Matter admixed Neutron Stars
• Dense and Hot QCD at Strong Coupling
• Investigating Dark Matter-Admixed Neutron Stars with NITR Equation of State in Light of PSR J0952-0607
• $g$-modes of neutron stars with hadron-to-quark crossover transitions
• Screening anisotropy via energy-momentum squared gravity: $\Lambda$CDM model with hidden anisotropy
• Quasi-normal g-modes of neutron stars with quarks
• Moment of inertia -- compactness universal relations in scalar-tensor theories and ${\mathcal{R}}^2$ gravity
• Impact of updated Multipole Love numbers and f-Love Universal Relations in the context of Binary Neutron Stars
• Constraining Energy-Momentum-Squared Gravity by binary pulsar observations
• Probing the Impact of WIMP Dark Matter on Universal Relations, GW170817 Posterior and Radial Oscillations
• A short gamma-ray burst from a proto-magnetar remnant
• Hyperon bulk viscosity and $r$-modes of neutron stars
• R-mode frequencies of rapidly and differentially rotating relativistic neutron stars
• Relativistic structure of charged quark stars in energy-momentum squared gravity
• Temperature Effects on Core g-modes of Neutron Stars
• Weak field and slow motion limits in energy-momentum powered gravity

Cited by in corpus (1)

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