Nonlinear Charged Black Hole Solution in Rastall Gravity
Round 1
Reviewer 1 Report
As a minor objection, this referee has a query that the author might want to address before publication. The paper
"Rastall gravity is equivalent to Einstein gravity",
by Matt Visser, arXiv:1711.11500 [gr-qc], leaves this referee wondering if the results presented here could be derived more simply by resorting to said equivalence. A brief explanation (to what extent might the equivalence between Einstein and Rastall gravity affect the results of the paper under review?) would suffice.
Author Response
Please see the attached file
Author Response File: 
Author Response.pdf
Reviewer 2 Report
See the attached pdf file.
Comments for author File: Comments.pdf
Author Response
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Author Response File: Author Response.pdf
Reviewer 3 Report
The author considers the four-dimensional Rastall gravity theory with the nonlinear electromagnetic field. The author obtains an exact solution with the spherical symmetry in this theory, which coincides with the Reissner-Nordstrom-(A)dS solution and represents a charged black hole geometry with the cosmological constant. Then the author studies the geodesic deviations and the thermodynamics of the obtained solution to investigate its stabilities. I find this work interesting but I recommend the author to consider the following points:
i) Would the solution (18) be a general spherically symmetric solution in this system? Why do the effects by the Rastall gravity and the nonlinear electrodynamics vanish simultaneously in the $c_3=0$ limit? Then the author may discuss some assumptions to obtain an another solution that would not coincide with the Reissner-Nordstrom-(A)dS one.
ii) Since the obtained solution is the Reissner-Nordstrom-(A)dS one, there would be some overlaps between the stability analyses in the sections II-C and III in the present manuscript and the papers arXiv:1902.06783 and arXiv:hep-th/9908022. Then the author may modify these sections to clear the difference between the present discussions and these previous works.
iii) The terms $d\phi ^2$ in the equation (14) and $\sin ^2 d\phi ^2$ below the equation (21) would be replaced with the terms $\sin ^2 \theta d\phi ^2$ and $\sin ^2 \theta d\phi ^2$, respectively.
Author Response
Please see the attachment file
Author Response File: Author Response.pdf
Round 2
Reviewer 3 Report
I am satisfied with the corrections by the author. Then I recommend the publication of this work.
Author Response
Dear Reviewer,
There is no comment.
Best
Author
