Form invariance of differential equations in general relativity

Mostrar todas las versiones(3)

Einstein equations for several matter sources in Robertson-Walker and Bianchi I type metrics, are shown to reduce to a kind of second-order nonlinear ordinary differential equation ÿ + αf(y)ẏ + βf(y)(Latin small letter esh)f(y)dy + γf(y) = 0. Also, it appears in the generalized statistical mechanics...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Chimento, L.P.
Formato: Artículo publishedVersion
Publicado: 1997
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00222488_v38_n5_p2565_Chimento
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v38_n5_p2565_Chimento_oai
Aporte de:
Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_00222488_v38_n5_p2565_Chimento_oai
record_format dspace
spelling I28-R145-paper_00222488_v38_n5_p2565_Chimento_oai2024-08-16 Chimento, L.P. 1997 Einstein equations for several matter sources in Robertson-Walker and Bianchi I type metrics, are shown to reduce to a kind of second-order nonlinear ordinary differential equation ÿ + αf(y)ẏ + βf(y)(Latin small letter esh)f(y)dy + γf(y) = 0. Also, it appears in the generalized statistical mechanics for the most interesting value q = -1. The invariant form of this equation is imposed and the corresponding nonlocal transformation is obtained. The linearization of that equation for any α, β, and γ is presented and for the important case f = byn + k with β = α2 (n + 1)/(n + 2)2 its explicit general solution is found. Moreover, the form invariance is applied to yield exact solutions of some other differential equations. © 1997 American Institute of Physics. Fil:Chimento, L.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00222488_v38_n5_p2565_Chimento info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Math. Phys. 1997;38(5):2565-2576 Form invariance of differential equations in general relativity info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v38_n5_p2565_Chimento_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
description Einstein equations for several matter sources in Robertson-Walker and Bianchi I type metrics, are shown to reduce to a kind of second-order nonlinear ordinary differential equation ÿ + αf(y)ẏ + βf(y)(Latin small letter esh)f(y)dy + γf(y) = 0. Also, it appears in the generalized statistical mechanics for the most interesting value q = -1. The invariant form of this equation is imposed and the corresponding nonlocal transformation is obtained. The linearization of that equation for any α, β, and γ is presented and for the important case f = byn + k with β = α2 (n + 1)/(n + 2)2 its explicit general solution is found. Moreover, the form invariance is applied to yield exact solutions of some other differential equations. © 1997 American Institute of Physics.
format Artículo
Artículo
publishedVersion
author Chimento, L.P.
spellingShingle Chimento, L.P.
Form invariance of differential equations in general relativity
author_facet Chimento, L.P.
author_sort Chimento, L.P.
title Form invariance of differential equations in general relativity
title_short Form invariance of differential equations in general relativity
title_full Form invariance of differential equations in general relativity
title_fullStr Form invariance of differential equations in general relativity
title_full_unstemmed Form invariance of differential equations in general relativity
title_sort form invariance of differential equations in general relativity
publishDate 1997
url http://hdl.handle.net/20.500.12110/paper_00222488_v38_n5_p2565_Chimento
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v38_n5_p2565_Chimento_oai
work_keys_str_mv AT chimentolp forminvarianceofdifferentialequationsingeneralrelativity
_version_ 1809356792191254528

Ejemplares similares