Raychaudhuri Equations, Tidal Forces, and the Weak-Field Limit in Schwarzshild–Finsler–Randers Spacetime

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

In the manuscript the authors investigate the Raychaudhury equation in a specific Finsler geometric type model. After a presentation of the geometrical basis of their approach, the action (46) is introduced, and the field equations are obtained in a general form. The various forms of the geodesic deviation equations are presented, and the weak field limit is also considered. The manuscript may be suitable for publication in Universe if the authors would fully consider the following points:

 

1. The list of references may be extended by the addition of some recent works considering the various aspect of Finsler geometry, and its applications.

2. In the action (46), is the volume element compact, or not? 

3. It would be interesting if the authors could present/briefly discuss an astrophysical application of the geodesic  equations (77)-(80), by obtaining the corrections to the perihelion precession or light deflection.

4. Would it be possible to obtain in the weak field limit a generalized Poisson type equation for the metric perturbations h_{\mu \nu} and w_{ab}?  

 

Comments on the Quality of English Language

The quality of the English language is good.

Author Response

please see the attached file

Reviewer 2 Report

Comments and Suggestions for Authors

Comments for author File: Comments.pdf

Author Response

please see the attached file

Author Response File: Author Response.pdf

Reviewer 3 Report

Comments and Suggestions for Authors

The paper is well structured, contains original results, and is written in good English. I recommend its publication in its present form.

Author Response

please see the attached file

Author Response File: Author Response.pdf