Buchdahl-inspired spacetimes and wormholes: Unearthing Hans Buchdahl's other 'hidden' treasure trove

Abstract

Circa 1962 Hans A. Buchdahl pioneered a program -- and made significant progress -- seeking vacuo configurations in pure ${\mathcal{R}}^2$ gravity [H. A. Buchdahl, Nuovo Cimento 23, 141 (1962)]. Unfortunately, he deemed the final step in his calculations impassable and prematurely suspended his pursuit. Since then, his achievements on this front have faded into dormancy. Unbeknownst to Buchdahl himself, the ${\mathcal{R}}^2$ vacua that he sought were within $\text{his}$ striking distance. In our recent three-paper body of work published in Phys. Rev. D, we broke this six-decades-old impasse and accomplished his goal: A novel class of metrics, describing non-Schwarzschild spacetimes in quadratic gravity and carrying a hallmark of higher-derivative characteristic. Intriguing properties of Buchdahl-inspired spacetimes and their associated Morris-Thorne-Buchdahl wormholes -- summarized herein -- embody a new branch of phenomenology that transcends the Einstein-Hilbert paradigm.

Honorable Mention -- 2023 GRF Awards for Essays on Gravitation. Accepted for publishing in Oct 2023 Special Issue of Int.J.Mod.Phys.D

References in corpus (4)

• Energy conditions in general relativity and quantum field theory
• Beyond Schwarzschild-de Sitter spacetimes: I. A new exhaustive class of metrics inspired by Buchdahl for pure $R^2$ gravity in a compact form
• Beyond Schwarzschild-de Sitter spacetimes: II. An exact non-Schwarzschild metric in pure $R^2$ gravity and new anomalous properties of $R^2$ spacetimes
• Beyond Schwarzschild-de Sitter spacetimes: III. A perturbative vacuum with non-constant scalar curvature in $R+R^2$ gravity

Cited by in corpus (5)

• Closed Timelike Curves Induced by a Buchdahl-inspired Vacuum Spacetime in $R^2$ Gravity
• Observational test of ${\mathcal{R}}^2$ spacetimes with the S2 star in the Milky Way galactic center
• Epicyclic oscillations and accretion disk around a special Buchdahl-inspired spacetime
• Time-reversed information flow through a wormhole in scalar-tensor gravity
• Extension of Buchdahl's Theorem on Reciprocal Solutions