TYPE II CHARGED GENERALISATION OF DURGAPAL'S SOLUTIONS FOR n ≥ 2

We investigate the equilibrium configuration of a spherically symmetric charged fluid with a metric of the form ds^2=-e^λ(r) dr^2-r^2 (dθ^2+sin^2⁡θ dϕ^2 )+e^ν(r) dt^2. Using e^ν = A^2 (1 + x)^n where x+Cr^2, the coupled Einstein-Maxwell equations are reformulated in terms of a first-order linear differential equation for Z = e^(-λ). The general solution to this equation is derived, admitting integration constants and coefficients defined through recurrence relations. We explore a specific case with n=2 and an electric filed E^2= (α^2 C_x)/(2(1+x))resulting in explicit expressions for the metric components, matter density ρ and pressure p.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-01
DOI
https://doi.org/10.5281/zenodo.15612990
Primary Topic
Fluid dynamics and aerodynamics studies
Type
article
Field-Weighted Citation Impact
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article

TYPE II CHARGED GENERALISATION OF DURGAPAL'S SOLUTIONS FOR n ≥ 2

Zenodo (CERN European Organization for Nuclear Research)
Fluid dynamics and aerodynamics studies
article

TYPE II CHARGED GENERALISATION OF DURGAPAL'S SOLUTIONS FOR n ≥ 2

article en

Abstract

We investigate the equilibrium configuration of a spherically symmetric charged fluid with a metric of the form ds^2=-e^λ(r) dr^2-r^2 (dθ^2+sin^2⁡θ dϕ^2 )+e^ν(r) dt^2. Using e^ν = A^2 (1 + x)^n where x+Cr^2, the coupled Einstein-Maxwell equations are reformulated in terms of a first-order linear differential equation for Z = e^(-λ). The general solution to this equation is derived, admitting integration constants and coefficients defined through recurrence relations. We explore a specific case with n=2 and an electric filed E^2= (α^2 C_x)/(2(1+x))resulting in explicit expressions for the metric components, matter density ρ and pressure p.

Zenodo (CERN European Organization for Nuclear Research)
SRM Institute of Science and Technology (IN), Sacred Heart College (IN), Autonomous Healthcare (US)
Openalex Percentile: Top 64%
Fluid dynamics and aerodynamics studies
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