Black Hole Solutions in $R^2$ Gravity

Understand

We find static spherically symmetric solutions of scale invariant $R^2$ gravity.

• The latter has been shown to be equivalent to General Relativity with a positive cosmological constant and a scalar mode.
• Therefore, one expects that solutions of the $R^2$ theory will be identical to that of Einstein theory.
• Indeed, we find that the solutions of $R^2$ gravity are in one-to-one correspondence with solutions of General Relativity in the case of non-vanishing Ricci scalar.