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- Title
Estimation of Critical Collapse Solutions to Black Holes with Nonlinear Statistical Models.
- Authors
Hatefi, Ehsan; Hatefi, Armin
- Abstract
The self-similar gravitational collapse solutions to the Einstein-axion–dilaton system have already been discovered. Those solutions become invariants after combining the spacetime dilation with the transformations of internal SL(2, R). We apply nonlinear statistical models to estimate the functions that appear in the physics of Black Holes of the axion–dilaton system in four dimensions. These statistical models include parametric polynomial regression, nonparametric kernel regression and semi-parametric local polynomial regression models. Through various numerical studies, we reached accurate numerical and closed-form continuously differentiable estimates for the functions appearing in the metric and equations of motion.
- Subjects
BLACK holes; NONLINEAR statistical models; STATISTICAL models; DIFFERENTIABLE functions; MATHEMATICAL physics; EQUATIONS of motion; GRAVITATIONAL collapse; STATISTICAL physics
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 23, p4537
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10234537