Cyclic and heteroclinic flows near general static spherically symmetric black holes: Semi-cyclic flows -- Addendum and corrigendum

TL;DR

This paper introduces new accretion flow solutions around static spherically symmetric black holes in f(R) gravity, including cyclic and semi-cyclic flows, with corrections to previous related work.

Contribution

It presents novel cyclic and semi-cyclic accretion solutions in f(R) gravity black holes, expanding understanding of fluid dynamics near such horizons.

Findings

Finite-period cyclic flows oscillate between horizons.

Semi-cyclic flows execute two-way motions from and back to the same horizon.

Provides corrections to previous related publications.

Abstract

We present new accretion solutions of a polytropic perfect fluid onto an f(R)-gravity de Sitter-like black hole. We consider two f(R)-gravity models and obtain finite-period cyclic flows oscillating between the event and cosmological horizons as well as semi-cyclic critical flows executing a two-way motion from and back to the same horizon. Besides the generalizations and new solutions presented in this work, a corrigendum to Eur. Phys. J. C (2016) 76:280 is provided.