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Finite Element Modelling of a Cellular Electric Microenvironment
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Framework for charged compact objects admitting conformal motion in higher dimension.

A Zahra1, S A Mardan1, Muhammad Bilal Riaz2,3

  • 1Department of Mathematics, University of the Management and Technology, Lahore, Pakistan.

Plos One
|August 26, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces a new framework for charged compact objects in five-dimensional spacetime, predicting the existence of charged compact stars. The model demonstrates stable physical parameters under variations in electric charge.

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Area of Science:

  • Theoretical physics
  • General relativity
  • Gravitational physics

Background:

  • Spherical charged compact objects are crucial in astrophysics.
  • Understanding their behavior requires advanced theoretical frameworks.
  • Conformal motion and five-dimensional spacetime offer new perspectives.

Purpose of the Study:

  • To propose a novel framework for spherical charged compact objects in five-dimensional spacetime.
  • To investigate the physical characteristics of these objects under conformal motion.
  • To explore the implications of electric charge on compact star models.

Main Methods:

  • Utilizing a five-dimensional framework with Reissner-Nordström outer spacetime for matching conditions.
  • Applying Einstein-Maxwell field equations in five dimensions.
  • Analyzing stress, pressure, and surface tension for a specific density profile.

Main Results:

  • A new class of solutions for charged compact objects in five-dimensional spacetime was developed.
  • Physical parameters like stress and pressure exhibit stable behavior with varying electric charge.
  • The framework supports the existence of charged compact stars.

Conclusions:

  • The proposed framework provides a consistent model for charged compact objects in higher dimensions.
  • The study confirms the physical viability of charged compact stars within this theoretical construct.
  • This research opens avenues for exploring exotic compact objects in modified gravitational theories.