Uniqueness of electric-magnetic spacetimes with massive particle

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1. Verfasser: Rogatko, Marek
Format: Preprint
Veröffentlicht: 2026
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author Rogatko, Marek
author_facet Rogatko, Marek
contents Uniqueness of the four-dimensional static, asymptotically flat, Einstein-Maxwell spacetime with both electric and magnetic charges, containing non-extremal massive particle sphere, being an inner boundary in it, has been proved. It is isometric to Reissner-Nordström spacetime with electric/magnetic charges. In contrast to the previous results concerning the classification of photon spheres, it describes the existence of the entire set of spacetme foliations, a set of massive particle sphere addressed to the various energies of the particles. The conformal positive energy, positive mass theorem and adequate conformal transformations constitute the mail tools in the proof.
format Preprint
id arxiv_https___arxiv_org_abs_2601_00565
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Uniqueness of electric-magnetic spacetimes with massive particle
Rogatko, Marek
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Uniqueness of the four-dimensional static, asymptotically flat, Einstein-Maxwell spacetime with both electric and magnetic charges, containing non-extremal massive particle sphere, being an inner boundary in it, has been proved. It is isometric to Reissner-Nordström spacetime with electric/magnetic charges. In contrast to the previous results concerning the classification of photon spheres, it describes the existence of the entire set of spacetme foliations, a set of massive particle sphere addressed to the various energies of the particles. The conformal positive energy, positive mass theorem and adequate conformal transformations constitute the mail tools in the proof.
title Uniqueness of electric-magnetic spacetimes with massive particle
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2601.00565