Nonlinear statistical spline smoothers for critical spherical black hole solutions in 4-dimension
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/54902DOI: 10.1016/j.aop.2022.169112
ISSN: 0003-4916
Editor
Elsevier
Fecha de publicación
2022-11-01Fecha fin de embargo
2024-10-31Cita bibliográfica
Hatefi, E. & Hatefi, A. 2022, “Nonlinear statistical spline smoothers for critical spherical black hole solutions in 4-dimension”, Annals of Physics, vol. 446, art. no. 169112.
Palabras clave
Mathematical physics
Gravity
Theoretical physics
Black holes
Statistical physics
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1016/j.aop.2022.169112Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2022 Elsevier
Derechos de acceso
info:eu-repo/semantics/embargoedAccess
Resumen
This paper focuses on self-similar gravitational collapse solutions of the Einstein–axion–dilaton configuration for two conjugacy classes of SL(2, R) transformations. These solutions are invariant under spacetime dilation, combined with internal transformations. For the first time in Einstein–axion–dilaton literature, we apply the nonlinear statistical spline regression methods to estimate the critical spherical black hole solutions in four dimensions. These spline methods include truncated power basis, natural cubic spline and penalized B-spline. The prediction errors of the statistical models, on average, are almost less than 10−2, so all the developed models can be considered unbiased estimators for the critical collapse functions over their entire domains. In addition to this excellence, we derived closed forms and continuously differentiable estimators for all the critical collapse functions.
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Nonlinear_Hatefi_Ann_Phys_2022.pdf | 2.003Mb |
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