Cloud of strings in f(R) gravity

TL;DR

This paper derives solutions for a string cloud in higher-dimensional f(R) gravity, analyzes their thermodynamic properties, and compares them to black hole solutions, revealing significant differences in temperature-horizon relations.

Contribution

It provides new solutions for string clouds in f(R) gravity and explores their thermodynamics, extending previous results in the literature.

Findings

Hawking temperature depends differently on mass in f(R) vs. general relativity.

Black hole and string cloud interactions show similar curve shapes with shifts.

The solutions generalize known results to higher dimensions and f(R) theories.

Abstract

We derive the solution for a spherically symmetric string cloud configuration in a d-dimensional spacetime in the framework of f(R) theories of gravity. We also analyze some thermodynamic properties of the joint black hole - cloud of strings solution. For its Hawking temperature, we found that the dependence of the mass with the horizon is significantly different in both theories. For the interaction of a black hole with thermal radiation, we found that the shapes of the curves are similar, but shifted. Our analysis generalizes some known results in the literature.