Curvature Invariants for Charged and Rotating Black Holes
| Autor: | Richard C. Henry, James Overduin, Max Coplan, Kielan Wilcomb |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
lcsh:QC793-793.5 Spacetime General relativity Black holes lcsh:Elementary particle physics Degenerate energy levels Structure (category theory) General Physics and Astronomy Charge (physics) Curvature curvature invariants General Relativity and Quantum Cosmology Theoretical physics Riemann hypothesis symbols.namesake symbols general relativity Algebraic number |
| Zdroj: | Universe Volume 6 Issue 2 Universe, Vol 6, Iss 2, p 22 (2020) |
| ISSN: | 2218-1997 |
| DOI: | 10.3390/universe6020022 |
| Popis: | Riemann curvature invariants are important in general relativity because they encodethe geometrical properties of spacetime in a manifestly coordinate-invariant way. Fourteen suchinvariants are required to characterize four-dimensional spacetime in general, and Zakhary andMcIntosh showed that as many as seventeen can be required in certain degenerate cases. Wecalculate explicit expressions for all seventeen of these Zakhary&ndash McIntosh curvature invariants forthe Kerr&ndash Newman metric that describes spacetime around black holes of the most general kind (thosewith mass, charge, and spin), and confirm that they are related by eight algebraic conditions (dubbedsyzygies by Zakhary and McIntosh), which serve as a useful check on our results. Plots of theseinvariants show richer structure than is suggested by traditional (coordinate-dependent) textbookdepictions, and may repay further investigation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|