This paper analyzes the implications of modified gravity (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">$f(T, \tau )$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>T</mi> <mo>,</mo> <mi>τ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> gravity, defined by the trace of the energy-momentum tensor as <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$\tau $</EquationSource> <EquationSource Format="MATHML"><math> <mi>τ</mi> </math></EquationSource> </InlineEquation> and the torsion scalar T) on a charged gravitational source in spherically symmetric as well as static space-times through the gravitational decoupling, irrespective of its characteristics. The qualitative characteristics of the system will be discussed using a linear functional form of the <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$f(T, \tau )$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>T</mi> <mo>,</mo> <mi>τ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> model to conveniently examine the properties of the system. We evaluated how the electromagnetic field modifies the flow of energy in spherically symmetric and motionless celestial objects exhibiting relativistic fluid. The interior structure is built using a polytropic equation of state, and the corresponding matching with the exterior spacetime is performed by using suitable junction conditions. We point out that the current work does not pertain to the explicit nonlinear coupling on the Lagrangian level. Rather, the decoupling framework encoded the interaction between other matter sectors due to the effect of the gravitational field. Lastly, employing the Tolman IV solution, we detected energy conditions in the presence of charge by adopting <InlineEquation ID="IEq6"> <EquationSource Format="TEX">$f(T, \tau )$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>T</mi> <mo>,</mo> <mi>τ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> field equations and gathered the anticipated outcomes.

Charged relativistic fluids exchanging energy via gravitational decoupling in $f(T, \tau )$ gravity

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2026年4月26日

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Mohammad Alshammari,
U. A. Khokhar,
Javlon Rayimbaev,
Munisbek Akhmedov,
M. Z. Bhatti,
Z. Yousaf

摘要

This paper analyzes the implications of modified gravity ( $f(T, \tau )$ $f (T, τ)$ gravity, defined by the trace of the energy-momentum tensor as $\tau $ $τ$ and the torsion scalar T) on a charged gravitational source in spherically symmetric as well as static space-times through the gravitational decoupling, irrespective of its characteristics. The qualitative characteristics of the system will be discussed using a linear functional form of the $f(T, \tau )$ $f (T, τ)$ model to conveniently examine the properties of the system. We evaluated how the electromagnetic field modifies the flow of energy in spherically symmetric and motionless celestial objects exhibiting relativistic fluid. The interior structure is built using a polytropic equation of state, and the corresponding matching with the exterior spacetime is performed by using suitable junction conditions. We point out that the current work does not pertain to the explicit nonlinear coupling on the Lagrangian level. Rather, the decoupling framework encoded the interaction between other matter sectors due to the effect of the gravitational field. Lastly, employing the Tolman IV solution, we detected energy conditions in the presence of charge by adopting $f(T, \tau )$ $f (T, τ)$ field equations and gathered the anticipated outcomes.

Charged relativistic fluids exchanging energy via gravitational decoupling in \(f(T, \tau )\) gravity

摘要