Charged anisotropic fluid sphere in comparison with its uncharged analogue through extended geometric deformation

2021 ◽  
Author(s):  
M. Zubair ◽  
Hina Azmat ◽  
Mobeen Amin
Keyword(s):  
Fluid Sphere ◽  
Anisotropic Fluid ◽  
Anisotropic Fluid Sphere ◽  
Geometric Deformation

scholarly journals Mimicking static anisotropic fluid spheres in general relativity

2016 ◽  
Vol 25 (02) ◽  
pp. 1650019 ◽  
Author(s):  
Petarpa Boonserm ◽  
Tritos Ngampitipan ◽  
Matt Visser
Keyword(s):  
Electromagnetic Field ◽  
Scalar Field ◽  
Charge Density ◽  
Perfect Fluid ◽  
Radial Pressure ◽  
Energy Conditions ◽  
Fluid Sphere ◽  
Anisotropic Fluid ◽  
Spherically Symmetric ◽  
Anisotropic Fluid Sphere

We argue that an arbitrary general relativistic static anisotropic fluid sphere, (static and spherically symmetric but with transverse pressure not equal to radial pressure), can nevertheless be successfully mimicked by suitable linear combinations of theoretically attractive and quite simple classical matter: a classical (charged) isotropic perfect fluid, a classical electromagnetic field and a classical (minimally coupled) scalar field. While the most general decomposition is not unique, a preferred minimal decomposition can be constructed that is unique. We show how the classical energy conditions for the anisotropic fluid sphere can be related to energy conditions for the isotropic perfect fluid, electromagnetic field, and scalar field components of the model. Furthermore, we show how this decomposition relates to the distribution of both electric charge density and scalar charge density throughout the model. The generalized TOV equation implies that the perfect fluid component in this model is automatically in internal equilibrium, with pressure forces, electric forces, and scalar forces balancing the gravitational pseudo-force. Consequently, we can build theoretically attractive matter models that can be used to mimic almost any static spherically symmetric spacetime.

scholarly journals An Exact Model of an Anisotropic Relativistic Sphere

1995 ◽  
Vol 48 (4) ◽  
pp. 635 ◽  
Author(s):  
LK Patel ◽  
NP Mehta
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Fluid Sphere ◽  
Anisotropic Fluid ◽  
Physical Parameters ◽  
Field Equations ◽  
Exterior Solution ◽  
Exact Model ◽  
Anisotropic Fluid Sphere

In this paper the field equations of general relativity are solved to obtain an exact solution for a static anisotropic fluid sphere. The solution is free from singularity and satisfies the necessary physical requirements. The physical 3-space of the solution is pseudo-spheroidal. The solution is matched at the boundary with the Schwarzschild exterior solution. Numerical estimates of various physical parameters are briefly discussed.

scholarly journals Regularity condition on the anisotropy induced by gravitational decoupling in the framework of MGD

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
G. Abellán ◽  
V. A. Torres-Sánchez ◽  
E. Fuenmayor ◽  
E. Contreras
Keyword(s):  
Standard Method ◽  
Regularity Condition ◽  
Physical Characteristics ◽  
Compact Objects ◽  
Anisotropy Factor ◽  
Einstein Equations ◽  
Anisotropic Fluid ◽  
Acceptable Solution ◽  
Geometric Deformation ◽  
Deformation Approach

Abstract We use gravitational decoupling to establish a connection between the minimal geometric deformation approach and the standard method for obtaining anisotropic fluid solutions. Motivated by the relations that appear in the framework of minimal geometric deformation, we give an anisotropy factor that allows us to solve the quasi–Einstein equations associated to the decoupling sector. We illustrate this by building an anisotropic extension of the well known Tolman IV solution, providing in this way an exact and physically acceptable solution that represents the behavior of compact objects. We show that, in this way, it is not necessary to use the usual mimic constraint conditions. Our solution is free from physical and geometrical singularities, as expected. We have presented the main physical characteristics of our solution both analytically and graphically and verified the viability of the solution obtained by studying the usual criteria of physical acceptability.

scholarly journals MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Roldão da Rocha ◽  
Anderson A. Tomaz
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Entanglement Entropy ◽  
Anisotropic Fluid ◽  
Holographic Entanglement Entropy ◽  
Geometric Deformation ◽  
Anisotropic Fluids

AbstractThe holographic entanglement entropy (HEE) is investigated for a black hole under the minimal geometric deformation (MGD) procedure, created by gravitational decoupling via an anisotropic fluid, in an AdS/CFT on the brane setup. The respective HEE corrections are computed and confronted to the corresponding corrections for both the standard MGD black holes and the Schwarzschild ones.

scholarly journals Modelling of a compact anisotropic star as an anisotropic fluid sphere in f(T) gravity

2018 ◽  
Vol 96 (12) ◽  
pp. 1295-1303 ◽  
Author(s):  
D. Momeni ◽  
G. Abbas ◽  
S. Qaisar ◽  
Zaid Zaz ◽  
R. Myrzakulov
Keyword(s):  
Anisotropic Fluid ◽  
Physical Parameters ◽  
Parametric Form ◽  
Dynamical Equations ◽  
Strange Stars ◽  
Exact Model ◽  
Anisotropic Fluid Sphere ◽  
Metric Functions ◽  
Anisotropic Stars ◽  
Anisotropic Star

In this article, the authors have discussed a new exact model of anisotropic stars in the f(T) theory of gravity. A parametric form of the metric functions has been implemented to solve the dynamical equations in f(T) theory with the anisotropic fluid. The novelty of the work is that the obtained solutions do not contain singularity but are potentially stable. The estimated values for mass and radius of the different strange stars, RX J 1856–37, Her X-1, and Vela X-12, have been utilized to find the values of unknown constants in Krori and Barua metrics. The physical parameters like anisotropy, stability, and redshift of the stars have been examined in detail.

scholarly journals A new solution of embedding class I representing anisotropic fluid sphere in general relativity

2016 ◽  
Vol 25 (14) ◽  
pp. 1650099 ◽  
Author(s):  
Ksh. Newton Singh ◽  
Piyali Bhar ◽  
Neeraj Pant
Keyword(s):  
Graphical Representation ◽  
Compact Objects ◽  
Compact Stars ◽  
Anisotropic Fluid ◽  
Physical Parameters ◽  
Satisfactory Description ◽  
Anisotropic Fluid Sphere ◽  
Acceptable Model ◽  
Anisotropic Star ◽  
New Formula

In this paper, we are willing to develop a model of an anisotropic star by choosing a new [Formula: see text] metric potential. All the physical parameters like the matter density, radial and transverse pressure are regular inside the anisotropic star, with the speed of sound less than the speed of light. So the new solution obtained by us gives satisfactory description of realistic astrophysical compact stars. The model of this paper is compatible with observational data of compact objects like RX J1856-37, Her X-1, Vela X-12 and Cen X-3. A particular model of Her X-1 (Mass 0.98 [Formula: see text] and radius[Formula: see text]=[Formula: see text]6.7 km.) is studied in detail and found that it satisfies all the condition needed for physically acceptable model. Our model is described analytically as well as with the help of graphical representation.

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