The Stability of Anisotropic Compact Stars Influenced by Dark Matter under Teleparallel Gravity: An Extended Gravitational Deformation Approach

Abstract

In our investigation, we pioneer the development of geometrically deformed strange stars within the framework of teleparallel gravity theory through gravitational decoupling via the complete geometric deformation (CGD) technique. The significant finding is the precise solution for deformed strange star (SS) models achieved through the vanishing complexity factor scenario. Further, we introduce the concept of space-time deformation caused by dark matter (DM) content in DM haloes, leading to perturbations in the metric potentials $g_{tt}$ and $g_{rr}$ components. Mathematically, this DM-induced deformation is achieved through the CGD method, where the decoupling parameter $\alpha$ governs the extent of DM influence. To validate our findings, we compare our model predictions with observational constraints, including GW190814 (with a mass range of $2.5-2.67M_{\odot }$) and neutron stars (NSTRs) such as EXO 1785-248 [mass=$1.3_{-0.2}^{+0.2}{M}_{\odot }$], 4U 1608-52 [mass=$1.74_{-0.14}^{+0.14}{M}_{\odot }$], and PSR J0952-0607 [mass=$2.35_{-0.17}^{+0.17}{M}_{\odot }$]. Our investigation delves into the stability of the model by considering causality conditions, Herrera's Cracking Method, the adiabatic index, and the Harrison-Zeldovich-Novikov criterion. We demonstrate that the developed model mimics a wide range of recently observed pulsars. To emphasize its compatibility, we highlight the predicted mass and radius in tabular form by varying both the parameters $\alpha$ and ${\zeta }_1$. Notably, our findings are consistent with the observation of gravitational waves from the first binary merger event. Furthermore, we compare our results with those obtained for a slow-rotating configuration. In addition to this, we discuss the moment of inertia using the Bejger-Haensel approach in this formulation.

arXiv commentEPJC published version

References in corpus (61)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• f(T) teleparallel gravity and cosmology
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Dark torsion as the cosmic speed-up
• Dark Matter Self-interactions and Small Scale Structure
• A Statistical Measure of Complexity
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• The teleparallel equivalent of general relativity
• PSR J0952-0607: The Fastest and Heaviest Known Galactic Neutron Star
• Teleparallel Gravity: From Theory to Cosmology
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• Refined Neutron-Star Mass Determinations for Six Eclipsing X-Ray Pulsar Binaries
• Modified teleparallel theories of gravity
• The Mass and Radius of the Neutron Star in 4U 1820-30
• Anisotropic solutions by gravitational decoupling
• Decoupling gravitational sources in general relativity: the extended case
• Equation of State of a Dense and Magnetized Fermion System
• On the nature and evolution of the unique binary pulsar J1903+0327
• New definition of complexity for self-gravitating fluid distributions: The spherically symmetric, static case
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• The Mass and Radius of the Neutron Star in EXO 1745-248
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Neutron Stars as Dark Matter Probes
• Discovery of a Candidate Black Hole - Giant Star Binary System in the Galactic Field
• General relativistic polytropes for anisotropic matter: The general formalism and applications
• Electric fields at the quark surface of strange stars in the color-flavor locked phase
• Spherically symmetric static spacetimes in vacuum f(T) gravity
• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• Moments of inertia for neutron and strange stars: limits derived for the Crab pulsar
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• Isotropization and change of complexity by gravitational decoupling
• Radial pulsations and stability of anisotropic stars with quasi-local equation of state
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Quantum Magnetic Collapse
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Strange stars in $f(R,\mathcal{T})$ gravity
• Dark halo properties from rotation curves
• Gravitational Waves in Modified Teleparallel Theories
• Physical Characteristics and Maximum Allowable Mass of Hybrid Star in the Context of $f(Q)$ Gravity
• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• Relativistic Krori-Barua Compact Stars in $f(R,T)$ Gravity
• A simple protocol to construct solutions with vanishing complexity by Gravitational Decoupling
• Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity
• Investigation of Traversable Wormhole Solutions in Modified $f(R)$ Gravity with Scalar Potential
• Anisotropic neutron stars in $R^2$ gravity
• Energy exchange between relativistic fluids: the polytropic case
• Compact star in Tolman Kuchowicz spacetime in background of Einstein Gauss Bonnet gravity
• Anisotropic Pressures in Very Dense Magnetized Matter
• Neutron stars in $f(R,T)$ gravity with conserved energy-momentum tensor: Hydrostatic equilibrium and asteroseismology
• Analytic models of Anisotropic Strange Stars in $f(T)$ Gravity with Off-diagonal tetrad
• Buchdahl quark stars within $f(Q)$ theory
• Rotating Neutron Stars in F(R) Gravity with Axions
• Einstein's cluster mimicking compact star in the teleparallel equivalent of general relativity
• Geometrically deformed charged anisotropic models in $f(Q,T)$ gravity
• Compact star in $f(T)$ gravity with Tolman-Kuchowicz metric potential
• A Comprehensive Study of Massive Compact Star Admitting Conformal Motion Under Bardeen Geometry
• Analysis of Dark Matter Halo Structure Formation in $N$-body Simulations with Machine Learning

Cited by in corpus (5)

• Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties
• Hair imprints of the gravitational decoupling and hairy black hole spectroscopy
• Scalar Field Static Spherically Symmetric Solutions in Teleparallel $F(T)$ Gravity
• Chaplygin and Polytropic gases Teleparallel Robertson-Walker $F(T)$ gravity solutions
• Electromagnetic Sources Teleparallel Robertson--Walker $F(T)$-Gravity Solutions