Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling

Abstract

The present work is focused on the investigation of the existence of compact structures describing anisotropic matter distributions within the framework of modified gravity theories, specifically f(R,$\mathcal{T}$) gravity theory. Additionally, we have taken f(R,$\mathcal{T}$) as a linear function of the Ricci scalar $R$ and the trace of the energy-momentum tensor $\mathcal{T}$ as $f(R,\mathcal{T})$=$R+2\chi \mathcal{T}$,where $\chi$ is a dimensionless coupling parameter, and the Lagrangian matter ${\mathcal{L}}_m=-\frac{1}{3}\left(2p_t+p_r\right)$, to describe the complete set of field equations for the anisotropic matter distribution. We follow the embedding class one procedure using Eisland condition to obtain a full space-time description inside the stellar configuration. Once the space-time geometry is specified we determine the complete solution of the modified Einstein equations by using the MIT bag model equation of state $p_r=\frac{1}{3}\left(\rho -4B\right)$ that describes the strange quark matter (SQM) distribution inside the stellar system, where $B$ denotes a bag constant. The physical validity of our anisotropic solution is confirmed by executing several physical tests. It is worth mentioning that with the help of the observed mass values for the various strange star candidates we have predicted the exact radii by taking different values for $\chi$ and $B$. These predicted radii show monotonic decreasing nature as the parameter $\chi$ is moved from $-0.8$ to $0.8$ progressively. In this case, our anisotropic stellar system becomes more massive and transforms into more dense compact stars.

Accepted in Physical Review D

References in corpus (96)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• f(R) Theories Of Gravity
• Cosmological parameters from SDSS and WMAP
• Shapiro delay measurement of a two solar mass neutron star
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• The Confrontation between General Relativity and Experiment
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• The Second Data Release of the Sloan Digital Sky Survey
• The First Data Release of the Sloan Digital Sky Survey
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• The Third Data Release of the Sloan Digital Sky Survey
• TOPICAL REVIEW: General relativistic boson stars
• Cosmological Tests of Modified Gravity
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• The type Ia supernova SNLS-03D3bb from a super-Chandrasekhar-mass white dwarf star
• Anisotropic Stars in General Relativity
• Refined Neutron-Star Mass Determinations for Six Eclipsing X-Ray Pulsar Binaries
• Maximum bounds on the surface redshift of anisotropic stars
• Nearby Supernova Factory Observations of SN 2007if: First Total Mass Measurement of a Super-Chandrasekhar-Mass Progenitor
• The Mass and Radius of the Neutron Star in 4U 1820-30
• Peering into the dark side: magnesium lines establish a massive neutron star in PSR J2215+5135
• Strange Stars with Realistic Quark Vector Interaction and Phenomenological Density-dependent Scalar Potential
• The Distance, Mass, and Radius of the Neutron Star in 4U 1608-52
• On the nature and evolution of the unique binary pulsar J1903+0327
• Strange star equation of state fits the refined mass measurement of 12 pulsars and predicts their radii
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• The Mass and Radius of the Neutron Star in EXO 1745-248
• All static spherically symmetric perfect fluid solutions of Einstein's Equations
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• Charged anisotropic matter with linear or nonlinear equation of state
• Electric fields at the quark surface of strange stars in the color-flavor locked phase
• Sharp bounds on the critical stability radius for relativistic charged spheres
• The hadron-quark phase transition in dense matter and neutron stars
• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Singularity-free dark energy star
• Nonperturbative models of quark stars in $f(R)$ gravity
• Non-radial oscillations of anisotropic neutron stars in the Cowling approximation
• Locally Rotationally Symmetric Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• An Alternative f (R, T) Gravity Theory and the Dark Energy Problem
• Junctions and thin shells in general relativity using computer algebra I: The Darmois-Israel Formalism
• Gravastars in $f(R,\mathcal{T})$ gravity
• Radial pulsations and stability of anisotropic stars with quasi-local equation of state
• Junction conditions for F(R)-gravity and their consequences
• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
• The Mass of the Compact Object in the X-Ray Binary Her X-1/HZ Her
• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• Exploring physical features of anisotropic strange stars beyond standard maximum mass limit in $f\left(R,\mathcal{T}\right)$ gravity
• Three-dimensional hydrodynamic simulations of the combustion of a neutron star into a quark star
• Generalized model for anisotropic compact stars
• Cosmological perfect-fluids in f(R) gravity
• The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids
• A relativistic model for Strange Quark Star
• Stability of the Einstein static Universe in $f(R,T)$ gravity
• Optical spectroscopy and photometry of SAX J1808.4-3658 in outburst
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects
• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• A comparison of Hořava-Lifshitz gravity and Einstein gravity through thin-shell wormhole construction
• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• A new deterministic model of strange stars
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• Metric-affine f(R,T) theories of gravity and their applications
• Expansion-Free Evolving Spheres Must Have Inhomogeneous Energy Density Distributions
• Expansion-Free Cavity Evolution: Some exact Analytical Models
• Cosmological Evolution in f(R,T) theory with Collisional Matter
• Anisotropic stars with non-static conformal symmetry
• Cavity Evolution and Instability Constraints of Relativistic Interiors
• Numerical solutions of the modified Lane-Emden equation in f(R)-gravity
• Cosmic Transit and Anisotropic Models in f(R,T) Gravity
• Neutron Stars and Massive Quark Matter
• Modified f(G) gravity models with curvature-matter coupling
• Cosmic Acceleration From Matter-Curvature Coupling
• Geodesic Deviation Equation in $f(R,T)$ Gravity
• Lemaitre-Tolman-Bondi dust solutions in f(R) gravity
• Rainbow's Stars
• On generating some known black hole solutions
• Revisiting the Darmois and Lichnerowicz junction conditions
• Scalar particle production in a simple Horndeski theory
• Compact stars: a generalized model

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• The Stability of Anisotropic Compact Stars Influenced by Dark Matter under Teleparallel Gravity: An Extended Gravitational Deformation Approach
• Role of Extended Gravity Theory in Matter Bounce Dynamics
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• Gravitational Cracking of General Relativistic Polytropes: a generalized scheme
• Study of Viable Compact Stellar Structures in Non-Riemannian Geometry
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• Anisotropic compact star with a linear pressure-density relationship
• Metric-Affine Vector-Tensor Correspondence and Implications in $F(R,T,Q,\mathcal{T},\mathcal{D})$ gravity
• Role of Curvature-Matter Coupling on Anisotropic Strange Stars
• Double relativistic master polytrope for anisotropic matter
• Charged anisotropic compact objects obeying Karmarkar condition
• Neutron Stars In $f(R,T)$ Theory: Slow Rotation Approximation
• Galactic rotation curves of spiral galaxies and dark matter in f(R,T) gravity theory
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Anisotropic Tolman V Solutions by Decoupling Approach in $f(R,T^2)$ Gravity
• Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Beyond classical anisotropy and a new look to relativistic stars: a gravitational decoupling approach
• Reexamining RHDE Models in FRW Universe with two IR cut-off with redshift parametrization
• Study of Anisotropic Polytropes in $f(\mathcal{R},\mathrm{T})$ Theory
• Explicit isometric embeddings of collapsing dust ball