Physics Letters B· 2026Q1
From Bertotti–Robinson to vacuum: New exact solutions in general relativity via Harrison and Inversion symmetries
- 2citations
- Q1SCImago
- 2026year
Short summary
New accelerating vacuum spacetimes of Petrov type I are generated from electrovacuum configurations using Melvin--Bonnor-type magnetization and magnetic Inversion symmetries, with one solution being a two-parameter extension of the Schwarzschild--Levi-Civita geometry.
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Key points
- New accelerating vacuum spacetimes of Petrov type I were constructed from electrovacuum configurations.
- Melvin--Bonnor-type magnetization and magnetic Inversion symmetries were exploited.
- A two-parameter extension of the Schwarzschild--Levi-Civita geometry was identified as a genuinely new vacuum configuration.
- The method provides a systematic way to generate algebraically general vacuum geometries.
AI-generated from the title and abstract; the full text is not read.
Abstract
We construct new vacuum solutions of the Einstein equations generated from electrovacuum configurations embedded in external electromagnetic backgrounds. Starting from accelerating Bertotti--Robinson black holes, we exploit two independent symmetries of the electrovacuum: a Melvin--Bonnor-type magnetization and a magnetic Inversion. In both constructions, the external electromagnetic field can be removed while still leaving a non-trivial gravitational backreaction in the metric, yielding new accelerating vacuum spacetimes of Petrov type I. In the static, non-accelerating limit, the magnetized Bertotti--Robinson--Schwarzschild case reproduces known results, while the Inversion symmetry produces a genuinely new vacuum configuration, a two-parameter extension of the Schwarzschild--Levi-Civita geometry. These constructions provide a systematic method for generating algebraically general vacuum geometries and illustrate how electromagnetic embeddings can induce non-trivial vacuum metrics in General Relativity. The main geometrical properties of these spacetimes are analyzed. Additionally, we present two further results: a stationary generalization of these vacuum geometries and two new static vacuum configurations obtained by applying the same symmetries to the Alekseev--García black hole seed.
The authors' abstract, as published at the source. Physics Letters B, 2026 · DOI ↗
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Field: Astronomy and Astrophysics
Astronomy and AstrophysicsPhysics and Astronomy