Stewart-Lyth inverse problem -: art. no. 103513

被引:20
作者
Ayón-Beato, E
García, A
Mansilla, R
Terrero-Escalante, CA
机构
[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Fis, Mexico City 07000, DF, Mexico
[2] Univ Nacl Autonoma Mexico, Inst Fis, Dept Fis Teor, Mexico City 01000, DF, Mexico
来源
PHYSICAL REVIEW D | 2000年 / 62卷 / 10期
关键词
D O I
10.1103/PhysRevD.62.103513
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper the Stewart-Lyth inverse problem is introduced. It consists of solving two nonlinear differential equations for the first slow-roll parameter and finding the inflaton potential. The equations are derived from the Stewart-Lyth equations for the scalar and tensorial perturbations produced during the inflationary period. The geometry of the phase planes transverse to the trajectories is analyzed, and conclusions about the possible behavior for general solutions are drawn.
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页码:1 / 9
页数:9
相关论文
共 24 条
[1]   CONSTRAINTS ON GENERALIZED INFLATIONARY COSMOLOGIES [J].
ABBOTT, LF ;
WISE, MB .
NUCLEAR PHYSICS B, 1984, 244 (02) :541-548
[2]  
BALBI A, ASTROPH0005124
[3]   From inflationary core potentials to higher-order curvature scalar Lagrangians [J].
Benitez, J ;
Macias, A ;
Mielke, EW ;
Obregon, O ;
Villanueva, VM .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (16) :2835-2854
[4]   A flat Universe from high-resolution maps of the cosmic microwave background radiation [J].
de Bernardis, P ;
Ade, PAR ;
Bock, JJ ;
Bond, JR ;
Borrill, J ;
Boscaleri, A ;
Coble, K ;
Crill, BP ;
De Gasperis, G ;
Farese, PC ;
Ferreira, PG ;
Ganga, K ;
Giacometti, M ;
Hivon, E ;
Hristov, VV ;
Iacoangeli, A ;
Jaffe, AH ;
Lange, AE ;
Martinis, L ;
Masi, S ;
Mason, PV ;
Mauskopf, PD ;
Melchiorri, A ;
Miglio, L ;
Montroy, T ;
Netterfield, CB ;
Pascale, E ;
Piacentini, F ;
Pogosyan, D ;
Prunet, S ;
Rao, S ;
Romeo, G ;
Ruhl, JE ;
Scaramuzzi, F ;
Sforna, D ;
Vittorio, N .
NATURE, 2000, 404 (6781) :955-959
[5]  
EGLOLTZ L, 1989, ORDINARY DIFFERENTIA
[6]   Stewart-Lyth second-order approach as an Abel equation for reconstructing inflationary dynamics [J].
Garcia, A ;
Macias, A ;
Mielke, EW .
PHYSICS LETTERS A, 1997, 229 (01) :32-36
[7]   Accurate determination of inflationary perturbations [J].
Grivell, IJ ;
Liddle, AR .
PHYSICAL REVIEW D, 1996, 54 (12) :7191-7198
[8]  
Guckenheimer J, 2013, APPL MATH SCI
[9]   INFLATIONARY UNIVERSE - A POSSIBLE SOLUTION TO THE HORIZON AND FLATNESS PROBLEMS [J].
GUTH, AH .
PHYSICAL REVIEW D, 1981, 23 (02) :347-356
[10]  
HANANY S, ASTROPH0005123