Computational Algorithms for the Study of Distributions with Electric Charge and Radiation Flux in General Relativity

The following research contributes to the understanding of how electric charge influences the unwrapping of spherically symmetric distributions using a relativistic approach. With the recent detection of gravitational waves and the location of black holes, where a strong emission of electromagnetic...

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Bibliographic Details
Published in:Applied sciences 2021-07, Vol.11 (13), p.5957
Main Authors: Suárez-Carreño, Franyelit, Rosales-Romero, Luis
Format: Article
Language:English
Subjects:
Algorithms
Anisotropic fluids
Anisotropy
Approximation
Collapse
Computer applications
einstein field equations
Electric charge
Electric fields
Electromagnetic radiation
Emissions
Energy
Gravitational collapse
Gravitational waves
Gravity
Radiation
Relativity
Self-similarity
Symmetry
Theory of relativity
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Summary:The following research contributes to the understanding of how electric charge influences the unwrapping of spherically symmetric distributions using a relativistic approach. With the recent detection of gravitational waves and the location of black holes, where a strong emission of electromagnetic radiation prevails, interest has arisen to consider the existence of compact charged objects. Thus, the appearance of charge in small quantities during gravitational collapse, the process by which black holes originate, is not ruled out; this also includes the emission of electromagnetic waves from them. This article intends to establish algorithms and write field equations for a charged fluid as those corresponding to an anisotropic fluid with radiation flux. Using an appropriate definition of the mass function, considering self-similar symmetry and Bondian observers, dynamical results are obtained for the Einstein–Maxwell electromagnetic system with added gravity. Imposing an additional homothetic symmetry, the field equations are solved, and the most relevant conclusions are drawn about the influence of the electric charge during the collapse and subsequent changes in the physical variables.
ISSN:2076-3417
2076-3417
DOI:10.3390/app11135957