Analytical Approximations to Charged Black Hole Solutions in Einstein–Maxwell–Weyl Gravity

Round 1

Reviewer 1 Report

In this work, the authors studied the Einstein-Weyl gravity coupled with the Maxwell field and constructed the charged black holes numerically in this theory. By using the Homotopy Analysis Method, they showed that the numerical solutions are consistent with the analytical approximate solution for the charged black hole in the whole space outside the event horizon. In my opinion, the paper is mainly well-written, and their findings carry enough significance and are interesting to researchers in the field. Thus, I recommend the manuscript to be published in Universe.

A minor comment/recommendation: In Fig. 2, the authors need to add the labels of vertical axis.

Comments for author File: Comments.pdf

Author Response

Please find the response in the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

This manuscript presents an "Analytical approximations to charged black hole solutions in Einstein-Maxwell-Weyl gravity". The paper is well-organized and clearly written. 

Before I recommend publication in Universe, I would like to present here a few comments or suggestions that could be considered by the authors to improve the manuscript. 

Firstly, I suggest that the authors provide more background information or explanations in some parts of the paper to make it more accessible to readers who are not familiar with this gravity. 

Second, Hope Authors will improve and show their results in details in conclusion part. 

Author Response

Please find the response in the attachment.

Author Response File: Author Response.pdf

Reviewer 3 Report

See attached file with comments. 

Comments for author File: Comments.pdf

Minor editing of the text in the paper is required. 

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 3 Report

The authors applied the changes suggested in my earlier report. However there are still two pending issues.

According to the numerical plots for A_t(r) and the associated analytic approximations, the value of A_t(r_0) is non-zero. However according to eq. (10) the value of A_t(r) on the horizon is zero. 

In the revised manuscript the authors include the correct field equations in (7) after revising the order of the indices in the Weyl tensor. However they did not revise the corresponding equations in (23) and (24) that are used to generated the analytic approximations via the HAM, and so all the plots that they get correspond to the previous (incorrect) version of the equations included in the first draft.  

Author Response

Please see the attachment

Author Response File: Author Response.pdf

Round 3

Reviewer 3 Report

All comments in my previous reports have been successfully addressed and therefore I recommend acceptance of this paper for publication.