Artículo
Chimento, L.P. "Form invariance of differential equations in general relativity" (1997) Journal of Mathematical Physics. 38(5):2565-2576
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Form invariance of differential equations in general relativity |
| Autor: | Chimento, L.P. |
| Filiación: | Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina |
| Año: | 1997 |
| Volumen: | 38 |
| Número: | 5 |
| Página de inicio: | 2565 |
| Página de fin: | 2576 |
| DOI: | http://dx.doi.org/10.1063/1.531996 |
| Título revista: | Journal of Mathematical Physics |
| Título revista abreviado: | J. Math. Phys. |
| ISSN: | 00222488 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00222488_v38_n5_p2565_Chimento.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v38_n5_p2565_Chimento |
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Citas:
---------- APA ----------
(1997) . Form invariance of differential equations in general relativity. Journal of Mathematical Physics, 38(5), 2565-2576.http://dx.doi.org/10.1063/1.531996
---------- CHICAGO ----------
Chimento, L.P. "Form invariance of differential equations in general relativity" . Journal of Mathematical Physics 38, no. 5 (1997) : 2565-2576.http://dx.doi.org/10.1063/1.531996
---------- MLA ----------
Chimento, L.P. "Form invariance of differential equations in general relativity" . Journal of Mathematical Physics, vol. 38, no. 5, 1997, pp. 2565-2576.http://dx.doi.org/10.1063/1.531996
---------- VANCOUVER ----------
Chimento, L.P. Form invariance of differential equations in general relativity. J. Math. Phys. 1997;38(5):2565-2576.http://dx.doi.org/10.1063/1.531996
