Nonlinear statistical spline smoothers for critical spherical black hole solutions in 4-dimension
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/54902DOI: 10.1016/j.aop.2022.169112
ISSN: 0003-4916
Publisher
Elsevier
Date
2022-11-01Embargo end date
2024-10-31Bibliographic citation
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.
Keywords
Mathematical physics
Gravity
Theoretical physics
Black holes
Statistical physics
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1016/j.aop.2022.169112Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2022 Elsevier
Access rights
info:eu-repo/semantics/embargoedAccess
Abstract
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.
Files in this item
Files | Size | Format |
|
---|---|---|---|
Nonlinear_Hatefi_Ann_Phys_2022.pdf | 2.003Mb |
|
Files | Size | Format |
|
---|---|---|---|
Nonlinear_Hatefi_Ann_Phys_2022.pdf | 2.003Mb |
|
Collections
- TSENCOM - Artículos [57]