Maximum mass of an anisotropic compact object admitting the modified Chaplygin equation of state in Buchdahl-I metric

Abstract

In this article, a new class of exact solutions for anisotropic compact objects is presented. Admitting the modified Chaplygin equation of state $p=H\rho -\frac{K}{{\rho }^n}$, where $H$, $K$ and $n$ are constants with $0<n\le 1$, and employing the Buchdahl-I metric within the framework of the general relativity stellar model is obtained. Recent observations on pulsars and GW events reveal that the observed maximum mass of compact stars detected so far is approximately $2.59_{-0.09}^{+0.08}{M}_{\odot }$. Since massive stars cannot be supported by a soft equation of state, a constraint of the equation of state must hold. The choice of a suitable equation of state for the interior matter of compact objects may predict useful information compatible with recent observations. TOV equations have been solved using the modified Chaplygin equation of state to find the maximum mass in this model. In particular, the theory can achieve $3.72M_{\odot }$, when $H=1.0$, $K=10^{-7}$ and $n=1$. The model is suitable for describing the mass of pulsars PSR J2215+5135 and PSR J0952-0607 and the mass $2.59_{-0.09}^{+0.08}{M}_{\odot }$ of the companion star in the GW 190814 event. The $3.72M_{\odot }$ is hardly achievable theoretically in general relativity considering fast rotation effects too. To check the physical viability of this model, we have opted for the stability analysis and energy conditions. We have found that our model satisfies all the necessary criteria to be a physically realistic model.

arXiv comment11 pages, 16 figures

References in corpus (35)

• Shapiro delay measurement of a two solar mass neutron star
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• Relativistic Shapiro delay measurements of an extremely massive millisecond pulsar
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations
• Anisotropic Stars in General Relativity
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Peering into the dark side: magnesium lines establish a massive neutron star in PSR J2215+5135
• The Distance, Mass, and Radius of the Neutron Star in 4U 1608-52
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• Stellar structure models in modified theories of gravity: lessons and challenges
• Anisotropic models for compact stars
• Relativistic model for anisotropic strange stars
• Anisotropic Compact stars in the Buchdahl model: A comprehensive study
• Role of pressure anisotropy on relativistic compact stars
• Accelerated Universe from Modified Chaplygin Gas and Tachyonic Fluid
• Slowly rotating neutron and strange stars in $R^2$ gravity
• Non-perturbative and self-consistent models of neutron stars in R-squared gravity
• Relativistic models for Superconducting-Superfluid Mixtures
• Nonlocal Equation of State in Anisotropic Static Fluid Spheres in General Relativity
• Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions
• Rapidly rotating neutron stars in $R$-squared gravity
• Anisotropic Quintessence stars
• Central Density Dependent Anisotropic Compact Stars
• CMBR Constraint on a Modified Chaplygin Gas Model
• Equilibrium, radial stability and non-adiabatic gravitational collapse of anisotropic neutron stars
• Tidal Love numbers of neutron stars in $f(R)$ gravity
• The mass-radius relation for neutron stars in $f(R)=R+\alpha R^2$ gravity: a comparison between purely metric and torsion formulations
• $R^p$ Attractors Static Neutron Star Phenomenology
• Quark stars with 2.6 $M_{\odot }$ in a non-minimal geometry-matter coupling theory of gravity
• Exact solution of anisotropic compact stars via. mass function
• Uniqueness of the Inflationary Higgs Scalar for Neutron Stars and Failure of non-inflationary Approximations

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