Traversable Morris-Thorne-Buchdahl Wormholes in Quadratic Gravity

Abstract

The special Buchdahl-inspiredmetric obtained in a recent paper [Phys. Rev. D 107, 104008 (2023)] describes asymptotically flat spacetimes in pure R-2 gravity. The metric depends on a new (Buchdahl) parameter (k) over tilde of higher-derivative characteristic, and recovers the Schwarzschild metric when (k) over tilde = 0. It is shown that the special Buchdahlinspired metric supports a two-way traversable MorrisThorne wormhole for (k) over tilde is an element of (-1, 0) in which case the Weak Energy Condition is formally violated, a naked singularity for (k) over tilde is an element of (-infinity,-1). (0,+infinity), and a non-Schwarzschild structure for (k) over tilde = -1.