One-loop F (R, P, Q) gravity in de Sitter universe

被引：10

作者：

Cognola, Guido ^{[1
]}

Zerbini, Sergio

机构：

[1] Univ Trent, Dipartimento Fis, Trento, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 37期

关键词：

ZETA-FUNCTION REGULARIZATION; QUANTUM-GRAVITY; COSMOLOGICAL CONSTANT; DESITTER SPACE; MODELS; STABILITY; ENERGY;

D O I：

10.1088/1751-8113/45/37/374014

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Motivated by the dark energy issue, the one-loop quantization approach for a class of relativistic higher order theories is discussed in some detail. A specific F(R, P, Q) gravity model at the one-loop level in a de Sitter universe is investigated, extending the similar program developed for the case of F(R) gravity. The stability conditions under arbitrary perturbations are derived. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical in honour of Stuart Dowker's 75th birthday devoted to 'Applications of zeta functions and other spectral functions in mathematics and physics'.

引用

页数：11

共 39 条

[1]

[Anonymous], 1992, Effective action in quantum gravity

[2] THE STABILITY OF GENERAL RELATIVISTIC COSMOLOGICAL THEORY [J].

BARROW, JD ;

OTTEWILL, AC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (12) :2757-2776

[3]

Bytsenko A.A., 2003, ANAL ASPECTS QUANTUM

[4]

BYTSENKO AA, 1996, PHYS REP, V269, P1

[5] Cosmology of generalized modified gravity models - art. no. 065313 [J].

Carroll, SM ;

De Felice, A ;

Duvvuri, V ;

Easson, DA ;

Trodden, M ;

Turner, MS .

PHYSICAL REVIEW D, 2005, 71 (06) :1-11

[6] QUANTIZING GRAVITY WITH A COSMOLOGICAL CONSTANT [J].

CHRISTENSEN, SM ;

DUFF, MJ .

NUCLEAR PHYSICS B, 1980, 170 (03) :480-506

[7] Class of viable modified f(R) gravities describing inflation and the onset of accelerated expansion [J].

Cognola, G. ;

Elizalde, E. ;

Nojiri, S. ;

Odintsov, S. D. ;

Sebastiani, L. ;

Zerbini, S. .

PHYSICAL REVIEW D, 2008, 77 (04)

[8] One-loop f(R) gravity in de Sitter universe -: art. no. 010 [J].

Cognola, G ;

Elizalde, E ;

Nojiri, S ;

Odintsov, SD ;

Zerbini, S .

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2005, (02) :217-243

[9] Energy issue for a class of modified higher order gravity black hole solutions [J].

Cognola, G. ;

Gorbunova, O. ;

Sebastiani, L. ;

Zerbini, S. .

PHYSICAL REVIEW D, 2011, 84 (02)

[10]

Cognola G, 2009, P 12 M GROSSM M

← 1 2 3 4 →