The Evolution of a Higher-Dimensional FRW Universe with Variable G and Λ and Particle Creation

Round 1

Reviewer 1 Report

The paper is interesting for the readers. I have the following observations for the revision of the paper:

(1) There are so many repeated references in the paper. For example, [2] and [23] are same; [3] and [24] are same; [4] and [25] ; [5] and [22] are same. The author should check the whole manuscript.

(2) The author has not cited the preliminary papers which is injustice. I suggest the author to read and cite the following papers to improve the quality of the paper:

(i) A. Pradhan, V. K. Yadav, Int. J. Mod. Phys. D, Vol. 11, No. 6, (2002), 893-912.

(ii) A. Pradhan, A. K. Singh, S. Otarod, Rom. J. Phys. Vol. 52, No. 3-4, (2007), 445-458.

(iii) C. P. Singh, S. Kumar, A. Pradhan, Class. Quantum Grav. Vol. 24, No. 2, (2007), 455-474.

(iv) J. P. Singh, A. Pradhan, A. K. Singh, Astrophys. Space Sci. Vol. 314, No. 1-3, (2008), 83-88.

(v) A. K. Yadav, A. Pradhan, A. K. Singh, Astrophys. Space Sci. Vol. 337, No. 1, (2012), 379-385.

(vi) H. Amirhashchi, H. Zainuddin, A. Pradhan, Rom. J. Phys. Vol. 57, No. 3-4, (2012), 748-760.

(vii) C. Chawla, A. K. Mishra, A. Pradhan, Rom. J. Phys. Vol. 59, No. 1-2, (2014), 12-25.

(viii) M. Goyal, R. K. Tiwari, A. Pradhan, New Astronomy, Vol. 66, (2019), 79-87.

(ix) G. P. Singh, S. Kotambkar, D. Srivastava, A. Pradhan, Rom. J. Phys. Vol. 53, No. 3-4, (2008), 607-618.

3. On page-6, for model II, the author assumed the value of $\psi$ . He must give the motivation and References for this choice.

4. It is suggested that the author rewrite the conclusion in straightforward English. There are some phrases that are meaningless. The statements are extremely wordy and pointless.

5.The paper has terrible English. The author must honestly read the entire document.

I might recommend the paper if the author is willing to revise it.

Author Response

Dear Referee's
Thank you very much for your time and concern towards improving our manuscript. Below is an attachment respond to your raised comments and suggested amendments.

Author Response File: Author Response.pdf

Reviewer 2 Report

There are many typos and wrong spellings. Significance of this work is also very less as the method of analysis is properly described. Most surprising finding in this manuscript is that  "when m = 2 and 3, the deceleration parameter q represents a universe in which the sign of the q flips from positive in the past (a decelerating universe) to a negative value at the present (an accelerating universe), while for m = 4 and 5, q always remains positive and the universe is still decelerating" in conclusion section. There is no clear expression of 'q" and how does 'q' depend on the m dimension of the Universe. That means late time accelerated expansion of the universe depends on the dimensions of the universe as per this manuscript which is unacceptable. They are using the term 'w' which is not clearly mentioned in the manuscript. Due to these some findings, I am against the publication of this manuscript.

Author Response

Dear Referee's

Thank you very much for your time and concern towards improving
our manuscript. Below is an attachment respond to your raised comments and suggested amendments.

Author Response File: Author Response.pdf

Reviewer 3 Report

In this manuscript field equations are defined in the higher dimensional space-time and matter creation is discussed for the different cases. Obtained results are interesting. The manuscript may be considered for publishing in Universe.

Author Response

Dear Referee's
Thank you very much for your time and concern towards improving our manuscript. Below is an attachment respond to your raised comments and suggested amendments.

Author Response File: Author Response.pdf

Reviewer 4 Report

Please see attached file.

Comments for author File: Comments.pdf

Author Response

Dear Referee's
Thank you very much for your time and concern towards improving our manuscript. Below is an attachment respond to your raised comments and suggested amendments.

Author Response File: Author Response.pdf

Round 2

Reviewer 4 Report

Accept in present form