Black Holes in f(R) theories

Understand

In the context of $f(R)$ theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions.

• Several aspects of constant curvature solutions with and without electric charge are discussed.
• We also study the general case (without imposing constant curvature).
• Following a perturbative approach around the Einstein-Hilbert action, it is found that only solutions of the Schwarzschild-(anti) de Sitter type are present up to second order in perturbations.