Comment on "Static and spherically symmetric black holes in f(R) theories"

TL;DR

This paper critically examines a proposed near-horizon test for static, spherically symmetric black holes in f(R) gravity, identifying necessary revisions before the test can be reliably applied.

Contribution

It provides a detailed critique and clarifies the conditions needed for the near-horizon test in f(R) gravity black hole solutions.

Findings

The original test requires revisions for accuracy.

Certain assumptions in the test are invalid without modifications.

Clarifies the applicability of the near-horizon test in f(R) theories.

Abstract

We consider the interesting "near-horizon test" reported in (PRD84, 084006(2011), arXiv:1107.5727) for any static, spherically symmetric (SSS) black hole solution admitted in f(R) gravity. Before adopting the necessary conditions for the test, however, revisions are needed as we point out in this Comment.