Equivalence between Scalar-Tensor theories and f(R)-gravity: from the action to cosmological perturbations

被引：10

作者：

Velasquez, Joel ^{[1
]}

Castaneda, Leonardo ^{[1
]}

机构：

[1] Nacl Univ Nacl Colombia, Grp Gravitac & Cosmol, Observ Astron Nacl, Cra 45 26-85,Ed Uriel Gutierrez, Bogota, Colombia

来源：

JOURNAL OF PHYSICS COMMUNICATIONS | 2020年 / 4卷 / 05期

关键词：

modifed gravity; cosmological perturbations; sub-horizon approach; ACCELERATING UNIVERSE; MODIFIED GRAVITY;

D O I：

10.1088/2399-6528/ab902f

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we calculate the field equations for Scalar-Tensor from a variational principle, taking into account the Gibbons-York-Hawking type boundary term. We do the same for the theories f(R), following (Guarnizo (2010), Gen. Rel. Grav. 42, 2713-2728). Then, we review the equivalences between both theories in the metric formalism. Thus, starting from the perturbations for Scalar-Tensor theories, we find the perturbations for f(R) gravity under the equivalences. Working with two specific models of f(R), we explore the equivalences between the theories under conformal-Newtonian gauge. Further, we show the perturbations for both theories under the sub-horizon approach.

引用

页数：19

共 53 条

[1] Planck 2013 results. XXII. Constraints on inflation [J].

Ade, P. A. R. ;

Aghanim, N. ;

Armitage-Caplan, C. ;

Arnaud, M. ;

Ashdown, M. ;

Atrio-Barandela, F. ;

Aumont, J. ;

Baccigalupi, C. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartlett, J. G. ;

Bartolo, N. ;

Battaner, E. ;

Benabed, K. ;

Benoit, A. ;

Benoit-Levy, A. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bobin, J. ;

Bock, J. J. ;

Bonaldi, A. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Bridges, M. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cardoso, J. -F. ;

Catalano, A. ;

Challinor, A. ;

Chamballu, A. ;

Chiang, H. C. ;

Chiang, L. -Y. ;

Christensen, P. R. ;

Church, S. ;

Clements, D. L. ;

Colombi, S. ;

Colombo, L. P. L. ;

Couchot, F. ;

Coulais, A. ;

Crill, B. P. ;

Curto, A. ;

Cuttaia, F. ;

Danese, L. ;

Davies, R. D. ;

Davis, R. J. ;

de Bernardis, P. .

ASTRONOMY & ASTROPHYSICS, 2014, 571

[2] Inflationary scenarios in Starobinsky model with higher order corrections [J].

Artymowski, Michal ;

Lalak, Zygmunt ;

Lewicki, Marek .

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2015, (06)

[3] Deceleration versus acceleration universe in different frames of F(R) gravity [J].

Bahamonde, Sebastian ;

Odintsov, Sergei D. ;

Oikonomou, V. K. ;

Tretyakov, Petr V. .

PHYSICS LETTERS B, 2017, 766 :225-230

[4] GAUGE-INVARIANT COSMOLOGICAL PERTURBATIONS [J].

BARDEEN, JM .

PHYSICAL REVIEW D, 1980, 22 (08) :1882-1905

[5] Higher-order theories of gravity: diagnosis, extraction and reformulation via non-metric extra degrees of freedom-a review [J].

Belenchia, Alessio ;

Letizia, Marco ;

Liberati, Stefano ;

Di Casola, Eolo .

REPORTS ON PROGRESS IN PHYSICS, 2018, 81 (03)

[6] Reconstruction of a scalar-tensor theory of gravity in an accelerating universe [J].

Boisseau, B ;

Esposito-Farèse, G ;

Polarski, D ;

Starobinsky, AA .

PHYSICAL REVIEW LETTERS, 2000, 85 (11) :2236-2239

[7] MACHS PRINCIPLE AND A RELATIVISTIC THEORY OF GRAVITATION [J].

BRANS, C ;

DICKE, RH .

PHYSICAL REVIEW, 1961, 124 (03) :925-&

[8] Jumping from metric f(R) to scalar-tensor theories and the relations between post-Newtonian parameters [J].

Capone, Monica ;

Ruggiero, Matteo Luca .

CLASSICAL AND QUANTUM GRAVITY, 2010, 27 (12)

[9] Dark energy: the equation of state description versus scalar-tensor or modified gravity [J].

Capozziello, S ;

Nojiri, S ;

Odintsov, SD .

PHYSICS LETTERS B, 2006, 634 (2-3) :93-100

[10]

Capozziello S, 2011, FUND THEOR PHYS, V170, P1, DOI 10.1007/978-94-007-0165-6_1

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