Cosmology in Higher-Order Gravity Theories| Cosmology in Higher-Order Gravity Theories |
General Theories
> s.a. friedmann equation; FLRW models;
higher-order gravity [dark energy, dark matter].
@ General references: Carroll et al PRD(05)ap/04;
Sotiriou CQG(06)gq/05 [positive and negative powers of R];
Popławski PRD(06)gq [and dark energy];
Brookfield et al PRD(06)ht [trinomial in R, cosmology and 5th force];
Fay et al PRD(07)ap;
Li & Barrow PRD(07)gq [metric];
Rahvar & Sobouti MPLA(08)-a0704 [f from acceleration];
Koivisto PRD(07)-a0706 [Palatini + generalized dark matter];
De Felice et al PRD(08)-a0706 [bounds on parameters];
Starobinsky JETPL(07)-a0706 [effective cosmological constant in some solutions];
Song et al PRD(07)-a0706 [acceleration and cmb];
Dev et al PRD(08)-a0807;
Capozziello et al A&A(09)-a0906;
Cardone et al a0907/PRD [supernovae and cmb];
Nojiri et al PLB(09);
Koivisto AIP(10)-a0910 [rev];
de la Cruz Dombriz PhD(10)-a1004;
Olmo AIP(11)-a1207 [Palatini].
@ And ΛCDM cosmology: Fay et al PRD(07)gq;
Appleby & Battye PLB(07)-a0705;
Dunsby et al PRD(10)-a1005.
@ Non-singular models, bounces: Carloni et al CQG(06) [bounce conditions];
Barragán et al PRD(09)-a0907;
Koivisto a1004;
Nojiri et al PRD-a1910;
> s.a. Gauss-Bonnet Gravity.
@ Expansion and acceleration: Samart ap/06;
de la Cruz-Dombriz & Dobado PRD(06)gq;
Amendola et al PRL(07)ap/06,
IJMPD(07)ap/06,
PRD(07) [ruled out by wrong expansion rate];
Rador PRD(07)ht;
Nojiri et al PLB(07)-a0705 [f(R)-scalar-Gauss-Bonnet];
Cognola et al PRD(08)-a0712;
Lee MPLA(08)-a0801;
Nojiri & Odintsov a0801-ln [dark matter, dark energy and inflation];
Appleby & Battye JCAP(08)-a0803;
Carvalho et al JCAP(08)-a0804;
Santos et al PLB(08)-a0808 [supernovae];
Oyaizu PRD(08) [simulations];
Paul et al PRD(09)-a0904;
Chakrabarti et al GRG(11)-a0908 [using the ADM formalism];
Goheer et al PRD(09) [theories with power-law expansion];
Bauer GRG(11)-a1007 [filtering out the cosmological constant];
Modak et al ASS(14)-a1408 [expansion history];
> s.a. torsion.
@ Singularities: Middleton & Barrow PRD(08)-a0801 [isotropic singularity, stability];
Höffer von Loewenfeld & Sachs PRD(08)-a0803 [resolution];
Appleby et al JCAP(10)-a0909 [avoidance];
Biswas et al JCAP(10)-a1005,
JCAP(12)-a1206 [avoidance in non-local theories].
@ Early universe: Lambiase & Scarpetta PRD(06)ap [baryogenesis].
@ Large-scale structure: Zhang PRD(06)ap/05;
Lombriser et al PRD(12)-a1003;
Baghram & Rahvar JCAP(10)-a1004 [dark energy vs modified gravity].
@ Observational constraints: Borowiec et al IJGMP(07)ap/06-ln [dark matter and dark energy];
Zhang PRD(07)ap [solar system + galaxies];
Van Acoleyen a0907 [small-scale effects and cosmological backreaction];
Moldenhauer et al JCAP(09)-a0912;
Lombriser et al PRD(12)-a1111 [cluster density profiles].
@ Related topics: Fukuma et al PTP(01)ht [AdS-cft];
Ezawa et al CQG(03)gq;
> s.a. minisuperspace models [Noether symmetries].
> Related topics:
see acceleration; bianchi models;
cosmological perturbations; equivalence principle [violation];
expansion; cmb.
Specific Forms for the Action > s.a. Gauss-Bonnet Gravity;
inflationary models [Starobinski model]; lovelock gravity.
* Cosmic no hair theorem:
Within 4th-order gravity with L = R + R2,
the inflationary phase turns out to be a transient attractor.
* \(R^{-1}\) theories:
They lead to cosmological acceleration, which is part of their motivation;
A 1/R term by itself is ruled out by constraints on scalar-tensor
gravity, but could work as an extra contribution to the action.
@ R2 theories:
Cárdenas et al MPLA(03)gq [and inflation];
Meng & Wang GRG(04),
CQG(05)gq/04,
GRG(05) [Palatini, and inflation];
Debnath & Paul IJMPD(06)gq/05 [varying G and cosmological constant];
Arbuzova et al JCAP(12)-a1112 [cosmology];
> s.a. types of dark matter.
@ \(R^{-1}\) theories:
Nojiri & Odintsov PRD(03)ht [inflation & acceleration];
Meng & Wang CQG(03)ap;
Mena et al PRL(06)ap/05 [and supernovas;
news pw(06)feb];
Popławski CQG(06)gq/05 [acceleration],
CQG(06)gq/05 [present and late universe];
PLB(06)gq [jerk parameter];
DeDeo & Psaltis PRD(08)-a0712
[stable accelerating universe from \(f(R) = R \pm \mu^4/R\)].
@ ln R theories: Nojiri & Odintsov GRG(04)ht/03 [and acceleration].
@ Exponential theories: Abdelwahab et al CQG(08)-a0706;
Linder PRD(09)-a0905 [and acceleration];
Bamba et al JCAP(10)-a1005;
Yang et al PRD(10);
Xu & Chen CTP(14)-a1203.
@ Other f(R) theories:
Carloni et al CQG(05)gq/04 [Rn];
Ananda et al a0812 [4th-order, matter power spectrum];
Thakur et al PLB(11)-a1007 [non-minimally-coupled matter];
Lin et al IJMPD(11)-a1009 [and solar system tests];
Nelson PRD(10) [4th-order];
Motohashi et al IJMPD(11)-a1101-proc;
Gu IJMPD(11) [and solar system tests];
Cardone et al JCAP(12);
Hindmarsh & Saltas a1203
[effective f(R) theory from the renormalisation group];
Jaime et al a1206;
Liao & Zhu PLB(12)-a1207 [and strong gravitational lensing];
Corda NAP-a1211 [and quantization, relic gravitational waves];
Guo & Frolov PRD(13)-a1305;
Guo a1307
[constructing viable LCDM-like f(R) models];
Odintsov & Oikonomou PRD(14)-a1410 [and matter bounce];
Nunes et al JCAP(17)-a1610;
Pérez-Romero & Nesseris PRD(18)-a1710 [constraints].
@ f(R) theories and acceleration / inflation:
Contillo JPCS(10)-a1103 [asymptotically safe];
Mukherjee & Banerjee ASS(14)-a1405;
Rinaldi et al JCAP(14)-a1406
[reconstructing the inflationary f(R) from observations];
Clifton & Dunsby PRD(15)-a1501;
Sebastiani & Myrzakulov IJGMP(15)-a1506.
@ Ricci-squared theories: Allemandi et al PRD(04)ht [\(R_{ab}\,R^{ab}\) Lagrangians];
Li et al PRD(07)-a0707 [\(R + f(R_{ab}R^{ab})\)];
Cotsakis & Tsokaros PLB(07)
[radiation-dominated, flat FLRW models].
@ Non-local theories: Capozziello et al PLB(09)-a0809;
Stephens a0908 [inflation];
> s.a. singularities above.
@ Other cosmology: Brüning et al GRG(94)gq [non-analytic, and inflation];
Comelli & Dolgov JHEP(04) [determinant gravity];
De Felice & Hindmarsh JCAP(07)-a0705 [unsuccessful class of theories];
> s.a. cosmological tests.
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