A conjectured upper bound on the Choptuik critical exponents
Near-critical type II gravitational collapse is characterized by the formation of arbitrarily small black holes whose horizon radii are described by the simple scaling law rBH∝(p−p⁎)γ, where γ is the matter-dependent Choptuik critical exponent and Δp≡p−p⁎ is the phase space distance from the exact s...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-04-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032132100050X |
| Summary: | Near-critical type II gravitational collapse is characterized by the formation of arbitrarily small black holes whose horizon radii are described by the simple scaling law rBH∝(p−p⁎)γ, where γ is the matter-dependent Choptuik critical exponent and Δp≡p−p⁎ is the phase space distance from the exact self-similar critical evolution. We point out that all matter models studied thus far in the physics literature are characterized by the upper bound γ≤1. We conjecture that this is a generic feature of non-linear gravitational collapse scenarios. |
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| ISSN: | 0550-3213 |