Local solutions of General Relativity in the presence of the Trace Anomaly

Abstract: Local solutions are a vivid and long-living topic in gravitational physics. We consider exact static pseudo-spherically symmetric solutions of semi-classical Einstein's equations in presence of the trace anomaly contribution. We investigate black hole solutions and propose new metrics describing traversable wormholes. Thanks to the trace anomaly, wormholes are realized in the vacuum and, nevertheless, violate the null energy condition.