Generalized power expansions in cosmology

An algorithm is given to obtain generalized power asymptotic expansions of the solutions of the Einstein equations arising for several homogeneous cosmological models. This allows us to investigate their behavior near the initial singularity or for large times. An implementation of this algorithm in...

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Autor principal: Jakubi, A.S
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Elsevier 1998
Acceso en línea:Registro en Scopus
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Registro en la Biblioteca Digital
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245 1 0 |a Generalized power expansions in cosmology 
260 |b Elsevier  |c 1998 
270 1 0 |m Jakubi, A.S.; Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina 
506 |2 openaire  |e Política editorial 
504 |a Davies, P.C.W., (1977) Phys. Lett., 68 B, p. 402 
504 |a Chimento, L.P., (1989) Class. Quantum Grav., 6, p. 1285 
504 |a Pavón, D., Bafaluy, J., Jou, D., (1991) Class. Quantum Grav., 8, p. 347 
504 |a Aguirregabiria, J.M., Feinstein, A., Ibañez, J., (1993) Phys. Rev. D, 48, p. 4662 
504 |a Ablowitz, M.J., Ramani, A., Segur, H., (1980) J. Math. Phys., 21, p. 715 
504 |a Chimento, L.P., Jakubi, A.S., (1993) Class. Quantum Grav., 10, p. 2047 
504 |a Maartens, R., (1995) Class. Quantum Grav., 12, p. 1455 
504 |a Zakari, M., Jou, D., (1993) Phys. Lett. A, 175, p. 395 
504 |a Reuter, M., Wetterich, C., (1987) Phys. Lett. B, 188, p. 38 
504 |a Ince, E.L., (1956) Ordinary Differential Equations, , Dover, New York 
504 |a Zimdahl, W., Pavón, D., Maartens, R., (1997) Phys. Rev. D, 55, p. 4681 
504 |a Chimento, L.P., Jakubi, A.S., (1994) Proc. First Mexican School on Gravitation and Mathematical Physics, p. 316. , Guanajuato, Mexico, World Scientific 
504 |a Chimento, L.P., (1997) J. Math. Phys., 38, p. 2565 
504 |a Yoshida, H., (1983) Celest. Mech., 31, p. 363 
504 |a Maartens, R., Méndez, V., (1997) Phys. Rev. D, 55, p. 1937 
504 |a Maartens, R., (1995) Class. Quantum Grav., 12, p. 1455 
504 |a Chimento, L.P., Jakubi, A.S., Mendez, V., Maartens, R., (1997) Class. Quantum Grav., 14, p. 3363 
504 |a Salam, A., Sezgin, E., (1984) Phys. Lett. B, 147, p. 47 
504 |a Fradkin, E.S., Tseytlin, A.A., (1985) Phys. Lett. B, 158, p. 316 
504 |a Campell, B.A., Linde, A., Olive, K.A., (1991) Nucl. Phys. B, 355, p. 146 
504 |a Ozer, M., Taha, M.O., (1992) Phys. Rev. D, 45, p. 997 
504 |a Easther, R., (1993) Class. Quantum Grav., 10, p. 2203 
504 |a Chimento, L.P., Labraga, P., (1996) Proc. Spanish Relativistic Meeting (ERE-96), , Valencia 
520 3 |a An algorithm is given to obtain generalized power asymptotic expansions of the solutions of the Einstein equations arising for several homogeneous cosmological models. This allows us to investigate their behavior near the initial singularity or for large times. An implementation of this algorithm in the CAS system Maple V Release 4 is described and detailed calculations for three equations are shown. © 1998 Elsevier Science B.V.  |l eng 
593 |a Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina 
690 1 0 |a COSMOLOGY 
690 1 0 |a GENERALIZED POWER EXPANSIONS 
690 1 0 |a ORDINARY DIFFERENTIAL EQUATIONS 
690 1 0 |a SYMBOLIC COMPUTING 
690 1 0 |a ALGORITHMS 
690 1 0 |a CALCULATIONS 
690 1 0 |a COMPUTER PROGRAMMING 
690 1 0 |a MATHEMATICAL MODELS 
690 1 0 |a COSMOLOGY 
690 1 0 |a RELATIVITY 
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