Vacuum and nonvacuum black holes in a uniform magnetic field
Mustapha Azreg-A\"inou
TL;DR
This paper extends the known solutions for electromagnetic fields around black holes to include nonvacuum black holes in modified gravity, analyzing the linear effects of magnetic fields and rotation.
Contribution
It generalizes existing solutions to nonvacuum black holes in modified gravity, providing a comprehensive linear approximation of electromagnetic fields in these scenarios.
Findings
Derived all linear terms of the vector potential in powers of magnetic field and rotation.
Extended solutions to nonvacuum black holes in modified gravity.
Provided a framework for analyzing electromagnetic interactions in these contexts.
Abstract
We modify and generalize the known solution for the electromagnetic field when a vacuum, stationary, axisymmetric black hole is immersed in a uniform magnetic field to the case of nonvacuum black holes (of modified gravity) and determine all linear terms of the vector potential in powers of the magnetic field and the rotation parameter.
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