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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