Black hole and de Sitter solutions in a covariant renormalizable field theory of gravity

Understand

It is shown that Schwarzschild black hole and de Sitter solutions exist as exact solutions of a recently proposed relativistic covariant formulation of (power-counting) renormalizable gravity with a fluid.

• The formulation without a fluid is also presented here.
• The stability of the solutions is studied and their corresponding entropies are computed, by using the covariant Wald method.
• The area law is shown to hold both for the Schwarzschild and for the de Sitter solutions found, confirming that, for the $\beta=1$ case, one is dealing with a minimal modification of GR.