Traversable Morris-Thorne-Buchdahl wormholes in quadratic gravity

Abstract

The special Buchdahl-inspired metric obtained in a recent paper [Phys. Rev. D 107, 104008 (2023)] describes asymptotically flat spacetimes in pure ${\mathcal{R}}^2$ gravity. The metric depends on a new (Buchdahl) parameter $\tilde{k}$ of higher-derivative characteristic, and recovers the Schwarzschild metric when $\tilde{k}=0$. It is shown that the special Buchdahl-inspired metric supports a two-way traversable Morris-Thorne wormhole for $\tilde{k}\in (-1,0)$ in which case the Weak Energy Condition is formally violated, a naked singularity for $\tilde{k}\in (-\infty ,-1)\cup (0,+\infty )$, and a non-Schwarzschild structure for $\tilde{k}=-1$.

11 pages, 4 figures. Major improvements in Fig. 3 and in body of text. Several relevant references added. Accepted for Eur. Phys. J. C

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Cited by in corpus (14)

• Influence of GUP corrected Casimir energy on zero tidal force wormholes in modified teleparallel gravity with matter coupling
• Closed Timelike Curves Induced by a Buchdahl-inspired Vacuum Spacetime in $R^2$ Gravity
• Gravitational Lensing and Image Distortion by Buchdahl Inspired Metric in ${\mathcal{R}}^2$ Gravity
• Black Holes and Wormholes Beyond Classical General Relativity
• Observational test of ${\mathcal{R}}^2$ spacetimes with the S2 star in the Milky Way galactic center
• Observational tests of asymptotically flat ${\mathcal{R}}^2$ spacetimes
• A stationary axisymmetric vacuum solution for pure $R^2$ gravity
• Revisiting Weak Energy Condition and wormholes in Brans-Dicke gravity
• Emerging Newtonian potential in pure $R^2$ gravity on a de Sitter background
• Epicyclic oscillations and accretion disk around a special Buchdahl-inspired spacetime
• Time-reversed information flow through a wormhole in scalar-tensor gravity
• Dynamics of Dissipative Gravitational Collapse in the Morris-Thorne Wormhole Metric: One Scenario -- Several Outcomes
• Non-triviality of asymptotically flat Buchdahl-inspired metrics in pure $R^2$ gravity
• Two-sided NED black-hole, naked-singularity, and soliton solutions