2024/06/17 by Tayyab Naseer, M. Sharif, M Sharif · 14 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Anisotropy #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Isotropy #Mathematical physics #Metric (unit) #Physics #Quantum mechanics #Spacetime
paper · pdf · doi:10.1088/1572-9494/ad58c3
published in Communications in Theoretical Physics 76(9), 095407 (Institute of Physics)
openalex publication_date 2024/06/17 · crossref created 2024/06/17 · crossref issued 2024/07/24 · crossref published 2024/07/24 · crossref published-online 2024/07/24 · crossref published-print 2024/09/01 · crossref deposited 2025/08/23 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/02
Abstract In this study, we explore the Finch–Skea perfect fluid solution and extend its domain to three distinct anisotropic interior models within the framework of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>f</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi mathvariant="double-struck">R</mml:mi> <mml:mo>,</mml:mo> <mml:mi mathvariant="double-struck">T</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:math> theory, incorporating the influence of an electromagnetic field. We assume a static spherical spacetime initially coupled with an isotropic matter distribution. We then introduce a Lagrangian corresponding to an additional gravitating source, taking into account its role in inducing pressure anisotropy within the original fluid source. By deriving the field equations for the combined matter setup, we applied a radial component transformation, which yielded two distinct systems of equations. In addition, we consider a charged exterior spacetime to determine the three constants associated with the Finch–Skea solution at the boundary. Our findings suggest that under certain parametric choices, all three resulting models exhibited physical relevance within this modified theory.