Spherical Gravitational Collapse of  Anisotropic Radiating Fluid Sphere

Tewari, B. C.; Charan, Kali; Rani, Jyoti

doi:10.4236/ijaa.2016.62013

Cited by 11 publications

(6 citation statements)

References 40 publications

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“…From Equation (38) to Equation (41) the model parameters Ψ , β , γ and β γ with Table 1, Table 2 and Figures 1(a)-13(b) corresponding to respective model parameters given in Table 3.…”

Section: Tabular and Graphical Representation Of Physical Quantitiesmentioning

confidence: 99%

A Spherical Relativistic Anisotropic Compact Star Model

Fulara¹,

Sah²

2018

IJAA

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We provide solutions to Einsteins field equations for a model of a spherically symmetric anisotropic fluid distribution, relevant to the description of compact stars. The central matter-energy density, radial and tangential pressures, red shift and speed of sound are positive definite and are decreasing monotonically with increasing radial distance from the center of matter distribution of astrophysical object. The causality condition is satisfied for complete fluid distribution. The central value of anisotropy is zero and is increasing monotonically with increasing radial distance from the center of the distribution. The adiabatic index is increasing with increasing radius of spherical fluid distribution. The stability conditions in relativistic compact star are also discussed in our investigation. The solution is representing the realistic objects

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“…From Equation (38) to Equation (41) the model parameters Ψ , β , γ and β γ with Table 1, Table 2 and Figures 1(a)-13(b) corresponding to respective model parameters given in Table 3.…”

Section: Tabular and Graphical Representation Of Physical Quantitiesmentioning

confidence: 99%

A Spherical Relativistic Anisotropic Compact Star Model

Fulara¹,

Sah²

2018

IJAA

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“…Herrera et al [7] presented an algorithm for spherically symmetric solutions of Einstein's field equations. Spherically symmetric relativistic compact star models were constructed in to analyze the phenomenon of gravitational collapse of stars [8,9].…”

Section: Introductionmentioning

confidence: 99%

Charged anisotropic compact star core-envelope model with polytropic core and linear envelope

2021

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This manuscript is related to the construction of relativistic core-envelope model for spherically symmetric charged anisotropic compact objects. The polytropic equation of state is considered for core, while it is linear in the case of envelope. We present that core, envelope and the Reissner Nordstr$$\ddot{o}$$ o ¨ m exterior regions of stars match smoothly. It has been verified that all physical parameters are well behaved in the core and envelope region for the compact stars SAX J1808.4-3658 and 4U1608-52. Various physical parameters inside star are discussed herein, non-singularity and continuity at the junction has been catered as well. Impact of charged compact object together with core-envelope model on the mass, radius and compactification factor is described by graphical representation in both core and envelop regions. The stability of the model is worked out with the help of Tolman–Oppenheimer–Volkoff equations and radial sound speed.

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“…Herrera et al [38,39] studied few dynamical features of cylindrical as well as spherical gravitational collapse after evaluating junction conditions. Tewari et al [40] examined effects of locally anisotropic pressure on the spherical collapse. Sharif and Yousaf [41,42] analyzed the problem of collapsing system by investigating the role of matter variables in modified gravity.…”

Section: Introductionmentioning

confidence: 99%

On the role of f (G, T) terms in structure scalars

Yousaf

2019

Eur. Phys. J. Plus

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This work is devoted to explore the effects of f (G, T ) terms on the study of structure scalars and their influences in the formulations of the Raychaudhuri, shear and Weyl scalar equations. For this purpose, we have assumed non-static spherically symmetric geometry coupled with shearing viscous locally anisotropic dissipative matter content. We have developed relations among the Misner-Sharp mass, Weyl scalar, matter and structure variables. We have also formulated set of f (G, T ) structure scalars after orthogonally breaking down of the Riemann curvature tensor. The influences of these scalar functions in the modeling of relativistic radiating spheres are also studied. The factor involved in the emergence of inhomogeneities is also explored for the constant and varying modified curvature corrections. We inferred that f (G, T ) structure scalars could lead provide an effective tool to study Penrose-Hawking singularity theorems and Newman-Penrose formalism.

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Spherical Gravitational Collapse of Anisotropic Radiating Fluid Sphere

Cited by 11 publications

References 40 publications

A Spherical Relativistic Anisotropic Compact Star Model

A Spherical Relativistic Anisotropic Compact Star Model

Charged anisotropic compact star core-envelope model with polytropic core and linear envelope

On the role of f (G, T) terms in structure scalars

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