From inflationary core potentials to higher-order curvature scalar Lagrangians

被引：18

作者：

Benitez, J ^{[1
]}

Macias, A ^{[1
]}

Mielke, EW ^{[1
]}

Obregon, O ^{[1
]}

Villanueva, VM ^{[1
]}

机构：

[1] UNIV GUANAJUATO,INST FIS,LEON 37150,GUANAJUATO,MEXICO

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1997年 / 12卷 / 16期

关键词：

D O I：

10.1142/S0217751X97001572

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Within Einstein's general relativity, a new method of reconstructing the inflaton potential U(phi) has been developed which, in principle, is applicable to any order of the slow-roll approximation. For the resulting second order nonlinear differential equation we found a new solution for which the spectral index of scalar perturbations is completely fixed as n(s) = 1.49575. This value fits quite well to recent COPE and other astrophysical observations. Via a Legendre transformation, we are able to reconstruct and visualize the corresponding nonlinear curvature scalar Lagrangian L(R) in which the inflaton is absorbed by means of a conformal mapping.

引用

页码：2835 / 2854

页数：20

共 58 条

[1]

BANADOS M, 1993, PHYS REV D, V48, P2797

[2]

BANADOS M, 1992, PHYS REV LETT, V69, P184

[3] INFLATIONARY MODELS WITH LOGARITHMIC POTENTIALS [J].

BARROW, JD ;

PARSONS, P .

PHYSICAL REVIEW D, 1995, 52 (10) :5576-5587

[4] COSMIC TEMPERATURE-FLUCTUATIONS FROM 2 YEARS OF COBE DIFFERENTIAL MICROWAVE RADIOMETERS OBSERVATIONS [J].

BENNETT, CL ;

KOGUT, A ;

HINSHAW, G ;

BANDAY, AJ ;

WRIGHT, EL ;

GORSKI, KM ;

WILKINSON, DT ;

WEISS, R ;

SMOOT, GF ;

MEYER, SS ;

MATHER, JC ;

LUBIN, P ;

LOEWENSTEIN, K ;

LINEWEAVER, C ;

KEEGSTRA, P ;

KAITA, E ;

JACKSON, PD ;

CHENG, ES .

ASTROPHYSICAL JOURNAL, 1994, 436 (02) :423-442

[5] Four-year COBE DMR cosmic microwave background observations: Maps and basic results [J].

Bennett, CL ;

Banday, AJ ;

Gorski, KM ;

Hinshaw, G ;

Jackson, P ;

Keegstra, P ;

Kogut, A ;

Smoot, GF ;

Wilkinson, DT ;

Wright, EL .

ASTROPHYSICAL JOURNAL, 1996, 464 (01) :L1-&

[6] THE STATISTICS OF COSMIC BACKGROUND-RADIATION FLUCTUATIONS [J].

BOND, JR ;

EFSTATHIOU, G .

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1987, 226 (03) :655-&

[7]

BRANS C, 1996, UAM IZT JAN

[8] NON-LINEAR LAGRANGIANS AND THE SIGNIFICANCE OF THE METRIC [J].

BRANS, CH .

CLASSICAL AND QUANTUM GRAVITY, 1988, 5 (12) :L197-L199

[9]

CHERN SS, 1974, ANN MATH, V99, P78

[10] INITIAL CONDITIONS FOR THE STAROBINSKY MODEL IN A NONMINIMAL-COUPLING-TYPE THEORY [J].

CONTRERAS, C ;

HERRERA, R ;

DELCAMPO, S .

PHYSICAL REVIEW D, 1995, 52 (08) :4349-4360

← 1 2 3 4 5 6 →