On some non-static plane symmetric perfect fluid solutions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e31273" altimg="si112.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> gravity

Mehmood, Abu Bakr; Hussain, Farrukh; Bokhari, Ashfaque H.; Ramzan, Muhammad; Faryad, Muhammad; Hussain, T.

doi:10.1016/j.rinp.2022.105676

Cited by 2 publications

(1 citation statement)

References 51 publications

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“…where U a , p and ρ are 4-velocity vector, rest frame pressure and energy density, respectively. Using the values of θ ab and T ab in (2) with some simplifications [17], we have y L = g a , 5…”

Section: F (R T) Gravity Field Equations With Perfect Fluid Mattermentioning

confidence: 99%

Non-static plane symmetric perfect fluid solutions and Killing symmetries in f(R, T) gravity

Dalal,

Singh,

Kumar

2024

Commun. Theor. Phys.

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In this paper, the non-static solutions for perfect fluid distribution with plane symmetry in f(R,T) gravitational theory are obtained. Firstly using the Lie symmetries, symmetry reductions are performed for considered vector fields to reduce the number of independent variables. Then, corresponding to each reduction, exact solutions are obtained. Killing vectors leads to different conserved quantities. There- fore, we figure out the Killing vector fields corresponding to all derived solutions. The derived solutions are further studied and it is observed that all of the obtained spacetimes, atleast admit the min- imal symmetry group consists of ∂y, ∂z and −z∂y + y∂z. The obtained metrics, admit 3, 4, 6, and 10, Killing vector fields. Con- servation of linear momentum in direction of y and z and angu- lar momentum along x axis is provided by all derived solutions.

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Section: F (R T) Gravity Field Equations With Perfect Fluid Mattermentioning

confidence: 99%

Non-static plane symmetric perfect fluid solutions and Killing symmetries in f(R, T) gravity

Dalal,

Singh,

Kumar

2024

Commun. Theor. Phys.

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A note on proper conformal vector fields of Bianchi type-I perfect fluid space-times in f(R,T) gravity

Mehmood

Hussain

Ramzan

et al. 2022

Int. J. Geom. Methods Mod. Phys.

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The purpose of this paper is to investigate proper conformal vector fields (CVFs) of Bianchi type-I perfect fluid space-times in the [Formula: see text], [Formula: see text] theory of gravity, where [Formula: see text] and [Formula: see text] are the Ricci scalar and the trace of energy–momentum tensor, respectively. To seek the proper CVFs, we perform a classification of the space-times by imposing different restrictions on the space-time components. The whole classification consists of 12 cases. By studying each case thoroughly, we conclude that in the [Formula: see text], [Formula: see text] theory of gravity, the overall dimension of CVFs for the Bianchi type-I space-times turns out to be 3, 4, 5 and 15.

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On some non-static plane symmetric perfect fluid solutions in f(R,T) gravity

Cited by 2 publications

References 51 publications

Non-static plane symmetric perfect fluid solutions and Killing symmetries in f(R, T) gravity

Non-static plane symmetric perfect fluid solutions and Killing symmetries in f(R, T) gravity

A note on proper conformal vector fields of Bianchi type-I perfect fluid space-times in f(R,T) gravity

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