Failure of a Stability Conjecture in General Relativity
O.Gurtug, M.Halilsoy
TL;DR
This paper demonstrates that the Helliwell-Konkowski stability conjecture does not hold in certain scenarios within general relativity, specifically when a test null dust is introduced into a particular spacetime configuration.
Contribution
The paper provides a counterexample to the Helliwell-Konkowski stability conjecture using an exact back-reaction geometry in the context of cross-polarized Bell-Szekeres spacetime.
Findings
Helliwell-Konkowski conjecture fails in specific conditions
Counterexample involves insertion of null dust
Stability assumptions in certain spacetimes are invalid
Abstract
By employing an exact back-reaction geometry, Helliwell-Konkowski stability conjecture is shown to fail. This happens when a test null dust is inserted to the interaction region of cross-polarized Bell-Szekeres spacetime.
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Space Satellite Systems and Control