Analytical representation for metrics of scalarized EinsteinMaxwell black holes and their shadows
Abstract
Here we construct approximate analytical forms for the metric coefficients and fields representing the scalarized EinsteinMaxwell black holes with various couplings of the scalar field, once the parameters of the system are fixed. By increasing approximation order, one can obtain the analytic representation with any desired accuracy, what was tested via calculations of shadows for these black holes by using approximate analytical and accurate numerical metric functions. We share the Mathematica® code [https://arxiv.org/src/1907.05551/anc] which allows one to find an appropriate analytical form of the metric for any couplings and values of parameters. Scalarization increases the radius of the blackhole shadow for all the considered coupling functions.
 Publication:

Physical Review D
 Pub Date:
 August 2019
 DOI:
 10.1103/PhysRevD.100.044015
 arXiv:
 arXiv:1907.05551
 Bibcode:
 2019PhRvD.100d4015K
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 8 pages, 3 figures, ancillary Mathematica package and 2 notebooks