Uniqueness of higher-dimensional phantom field wormholes

2018/01/03 by Marek Rogatko · 24 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Energy condition #Field (mathematics) #General relativity #Geometry #Imaging phantom #Mathematical analysis #Mathematical physics #Mathematics #Optics #Physics #Pure mathematics #Scalar (mathematics) #Scalar field #Theoretical physics #Uniqueness #Uniqueness theorem for Poisson's equation #Wormhole #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.97.024001

published in Physical review. D/Physical review. D. 97(2) (American Physical Society) · 4 pages, LaTeX

openalex publication_date 2018/01/03 · arxiv created 2018/01/06 · arxiv updated 2018/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Based on the rigid positive energy theorem we proved the uniqueness of static spherically symmetric traversable wormholes with two asymptotically flat ends, being the higher-dimensional solutions of Einstein scalar phantom field. The proof is valid under the auxiliary condition imposed on wormhole mass and scalar charge.

Citations

• Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
• On the proof of the positive mass conjecture in general relativity
• Wormholes, Time Machines, and the Weak Energy Condition
• Natural wormholes as gravitational lenses
• A new proof of the positive energy theorem
• Modified-gravity wormholes without exotic matter
• Stable Lorentzian wormholes in dilatonic Einstein-Gauss-Bonnet theory
• The Particle Problem in the General Theory of Relativity

Cited by

• Uniqueness of higher-dimensional Einstein-Maxwell-phantom dilaton wormholes