Anisotropic stellar structures in the 
					
	    
	    
	   theory of gravity with quintessence via embedding approach

Ditta, Allah; Ahmad, M.; Hussain, Ibrar; Mustafa, Ghulam

doi:10.1088/1674-1137/abdfbd

Cited by 21 publications

(12 citation statements)

References 84 publications

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“…However, one can alternatively start from the equivalent formulation of gravity in terms of torsion, namely the Teleparallel Equivalent of General Relativity (TEGR) [6][7][8], and extend the corresponding Lagrangian, namely the torsion scalar T , in various ways, resulting in f (T ) gravity [9][10][11], in f (T, T G ) gravity [12,13], f (T, B) gravity [14][15][16], scalartorsion theories [17][18][19], etc. Torsional gravity, and in particular f (T ) theory, has been shown to lead to interesting behavior, both in cosmological applications , as well as in the case of spherically symmetric solutions [46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64].…”

Section: Introductionmentioning

confidence: 99%

Deflection angle and lensing signature of covariant f(T) gravity

Ren,

Zhao,

Saridakis

et al. 2021

Preprint

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We calculate the deflection angle, as well as the positions and magnifications of the lensed images, in the case of covariant f (T ) gravity. We first extract the spherically symmetric solutions for both the pure-tetrad and the covariant formulation of the theory, since considering spherical solutions the extension to the latter is crucial, in order for the results not to suffer from frame-dependent artifacts. Applying the weak-field, perturbative approximation we extract the deviations of the solutions comparing to General Relativity. Furthermore, we calculate the deflection angle and then the differences of the positions and magnifications in the lensing framework. This effect of consistent f (T ) gravity on the lensing features can serve as an observable signature in the realistic cases where f (T ) is expected to deviate only slightly from General Relativity, since lensing scales in general are not restricted as in the case of Solar System data, and therefore deviations from General Relativity could be observed more easily.

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Section: Introductionmentioning

confidence: 99%

Deflection angle and lensing signature of covariant f(T) gravity

Ren,

Zhao,

Saridakis

et al. 2021

Preprint

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“…Sharif and Yousuf [59] have worked out the stability conditions of collapsing objects in the background of nonstatic space-time. Ditta et al [60,61] have discussed stellar objects in extended theories with quintessence field.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic charged stellar models with modified Van der Waals EoS in f(Q) gravity

et al. 2023

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This paper is based on the study of compact stars in the context of electric fields and the nonmetricity effects of gravity. Due to this, we are motivated to build stellar models based on spherically symmetric space-time in f(Q) gravity. The space-time solution is obtained by Durgapal and Bannerji (Phys Rev D 27:328–331,1983) potential along with modified Van der Waals equation of state (EoS) $$p_r=\eta \rho ^2+ \frac{\beta \rho }{\gamma \rho +1}$$ p r = η ρ 2 + β ρ γ ρ + 1 by introducing a specific form of electric charge function $$q(r)=kr^3$$ q ( r ) = k r 3 . In order to validate our charge model, we used observational data from the literature for celestial objects like Her X-1, 4U 1538-52, SAX J1808.4-3658, and SMC X-1. Furthermore, we have also retrieved the uncharged effects of gravity for the model SMC X-1 by taking $$k=0$$ k = 0 . Our present physical analysis shows that all the obtained features for the present solution are in excellent agreement with the viable model as far as observational data is concerned.

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“…Zubair and Abbas developed analytic models of anisotropic strange stars in f (T ) gravity with off-diagonal tetrad [34]. Ditta et al studied anisotropic stellar structures in the f (T ) theory of gravity with quintessence via embedding approach [54]. However, the use of special functions to describe the star's physical quantities restricts the analytical study of the properties of compact stellar structures.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic stellar model of neutron stars in f(T) gravity with off-diagonal tetrad

Solanki

Said

2022

Eur. Phys. J. C

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In this paper, we develop a new class of analytical solutions describing anisotropic stellar structures of observed neutron stars using modified f(T) gravity. We use the off-diagonal tetrad that is best suitable for studying spherically symmetric objects in f(T) gravity. We develop exact solutions in the quadratic model of f(T) gravity by introducing physically reliable metric potentials that can describe a wide range of astrophysical systems. We then apply the model to investigate the stellar structures of four observed compact stars, 4U 1538-52, J0437-4715, J0030+0451, and 4U 1820-30. We calculate the values of model parameters for the stellar objects under examination in this paper. Comprehensive graphical analysis shows that the model describing anisotropic stellar structures is physically acceptable, causal, and stable. The model inherently exhibits the quadratic equation of state that can be utilized to investigate the material composition and stellar structures of the observed compact stars.

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Anisotropic stellar structures in the theory of gravity with quintessence via embedding approach

Cited by 21 publications

References 84 publications

Deflection angle and lensing signature of covariant f(T) gravity

Deflection angle and lensing signature of covariant f(T) gravity

Anisotropic charged stellar models with modified Van der Waals EoS in f(Q) gravity

Anisotropic stellar model of neutron stars in f(T) gravity with off-diagonal tetrad

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