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Research Paper | Mathematics | India | Volume 13 Issue 1, January 2024 | Popularity: 4.4 / 10

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Static Charged Fluid Sphere in General Relativity

Kanchan Singh, Dr Manish Kumar

Abstract: Within the context of general relativity, this theoretical astrophysical study explores the intricate dynamics of static charged fluid spheres. The central idea is the Tolman-Oppenheimer-Volkoff (TOV) equations, which are an expansion of Einstein's field equations designed for fluid spheres with electric charge that are spherically symmetric. The corresponding metric clarifies the geometry of space time around these celestial entities, exposing the complex interaction between electromagnetic and gravitational forces. The review reveals the hydrostatic harmony characterized by the TOV conditions, disentangling the fragile harmony between strains, thickness, and encased mass inside the charged liquid circle. Joining with Maxwell's situations improves grasping, uncovering the many-sided dance among gravitational and electromagnetic fields in this divine setting. The structural details of charged fluid spheres are made clear by the derived mass-radius relation, which sheds light on how the interaction of charge, pressure, and density affects their stability and maximum mass. Besides, measurable mechanics contemplations add to the deduction of the situation of state, enlightening the thermodynamic properties of an ideal, monoatomic relativistic gas inside these circles. Past clarifying astrophysical articles, the review prompts roads for future examination, calling for examinations concerning explicit states of state, dependability standards, and the thermodynamics administering charged liquid circles. This examination progresses perception of the complex convergences between broad relativity, electromagnetism, and the way of behaving of heavenly substances.

Keywords: General Relativity, Charged Fluid Sphere, Tolman-Oppenheimer-Volk-off Equations (TOV Equations), Einstein Field Equations, Hydrostatic Equilibrium, Electromagnetic Phenomena

Edition: Volume 13 Issue 1, January 2024

Pages: 1148 - 1152

DOI: https://www.doi.org/10.21275/SR24118193711

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