Electromagnetic effects on the inhomogeneity of planar symmetry

2015

Eur. Phys. J. C

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We analyze the dynamical instability of a nonstatic reflection axial stellar structure by taking into account the generalized Euler equation in metric f (R) gravity. Such an equation is obtained by contracting the Bianchi identities of the usual anisotropic and effective stress-energy tensors, which after using a radial perturbation technique gives a modified collapse equation. In the realm of the R + R n gravity model, we investigate instability constraints at Newtonian and post-Newtonian approximations. We find that the instability of a meridional axial self-gravitating system depends upon the static profile of the structure coefficients, while f (R) extra curvature terms induce the stability of the evolving celestial body.

Section: Introductionmentioning

confidence: 99%

Instability of meridional axial system in f(R) gravity

Sharif

2015

Eur. Phys. J. C

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“…We investigated the role of isotropic as well as anisotropic pressure in cylindrical and planar collapsing geometries coupled with non-adiabatic fluid models [12,13]. Sharif and Bhatti studied effects of physical variables known as inhomogeneity factors in the radiating and non-radiating planar [14][15][16][17][18], cylindrical [19][20][21], spherical [22,23] and axial [24,25] collapse. Arbuzova et al [26] obtained collapsing spherical models and concluded that dark sources due to modified gravity cause repulsion among massive bodies which lead to the formation of relatively thin shells.…”

Section: Introductionmentioning

confidence: 99%

Charged Adiabatic LTB Gravitational Collapse in f (R) Gravity

Sharif

2015

Int J Theor Phys

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We study evolutionary properties of isotropic charged spherical Lemaître-Tolman-Bondi fluid undergoing non-adiabatic collapse with general f (R) background. We explore exact analytical models of Maxwell-f (R) field equations with constant Ricci scalar. The dynamics of the collapsing system is investigated through system energy content, cosmological and black hole horizons in the presence of electromagnetic field. It is concluded that in addition to matter variables and f (R) corrections, the charge also affects the time interval between formation of respective horizons and singularities. We also find that f (R) corrections as well as electromagnetic field tend to slow down the collapsing process.

“…We choose a non-static planar geometry for the construction of our systematic analysis as [38][39][40][41] …”

Section: F (R) Gravity Coupled To Matter Sourcementioning

confidence: 99%

Influence of electric charge and modified gravity on density irregularities

Bhatti

2016

Eur. Phys. J. C

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This work aims to identify some inhomogeneity factors for a plane symmetric topology with anisotropic and dissipative fluid under the effects of both electromagnetic field as well as Palatini f (R) gravity. We construct the modified field equations, kinematical quantities, and mass function to continue our analysis. We have explored the dynamical quantities, conservation equations and modified Ellis equations with the help of a viable f (R) model. Some particular cases are discussed with and without dissipation to investigate the corresponding inhomogeneity factors. For a non-radiating scenario, we examine such factors as dust, and isotropic and anisotropic matter in the presence of charge. For a dissipative fluid, we investigate the inhomogeneity factor with a charged dust cloud. We conclude that the electromagnetic field increases the inhomogeneity in matter while the extra curvature terms make the system more homogeneous with the evolution of time.