Phenomenology
of Higher-Order Gravity Theories| Phenomenology
of Higher-Order Gravity Theories |
In General > s.a. cosmology
in higher-order theories.
* Stability: Certain f(R)
theories can stabilize solutions which are unstable in general relativity,
such as the Einstein static universe.
@ Reviews: Capozziello & Francaviglia GRG(08);
Sotiriou a0810-in.
@ Stability: Schmidt PRD(94);
Ezawa et al CQG(99)
[higher-dimensional, semiclassical];
Dolgov & Kawasaki ap/03 [R–1 theories];
De Felice et al JCAP(06)ap [superluminal
mode propagation]; Faraoni PRD(06)ap,
Sotiriou PLB(07)gq/06,
Sawicki & Hu PRD(07)ap [f(R)
theories]; Sokolowski CQG(07)gq [interpretation
and viability]; Böhmer et al PRD(07)-a0706 [Einstein
static universe]; Lee a0710;
Bertolami & Carvalho Sequeira PRD(09)
[and energy conditions]; > s.a. types of
theories [Hamiltonian perturbation theory].
@ R–1 theories: Flanagan PRL(04)ap/03,
Vollick CQG(04)gq/03,
Kremer & Alves PRD(04)gq [Palatini
form]; Soussa & Woodard GRG(04)ap/03 [force
of gravity]; Vollick PRD(05)gq/04 [with
Dirac field]; Shao et al PLB(06)gq/05 [as
correction term].
@ Other theories: Clifton & Barrow PRD(05)gq [R1+a Lagrangian];
Navarro & Van Acoleyen JCAP(06)ap [ln f(R),
dark energy and MOND]; Olmo a0910-in
[general, esp 1/R and f(R) = R + R2/RP theories].
@ Non-local theories: Koivisto PRD(08)-a0807 [newtonian
limit]; > s.a. theories of gravitation.
Solutions > s.a. Birkhoff's
Theorem; black-hole solutions; gödel
solution; schwarzschild spacetime; types
of spacetimes [Einstein static universe]; wormhole
solutions.
* In general: All solutions
of the ordinary Einstein equation still extremize S, and there are
other solutions; However, if S does not include the usual R term,
the ordinary solutions do not couple to positive-definite matter sources.
* Features: In some theories,
torsion and its conjugate momentum play an important role.
* Results: Birkhoff's
theorem in general is not valid, but it is in some cases; There is massive
radiation (2 Yukawa potentials, 8 degrees of freedom, the usual spin-2 graviton,
a massive one – negative
energy – and
one scalar field); It is claimed that in theories with purely quadratic terms
in
the action, the energy is identically zero, but this seems strange (RDS).
@ Gravitational waves: Campanelli & Loustó PRD(96)gq/95 [shock
waves]; de Rey et al CQG(03)gq,
CQG(03)gq,
CQG(04)gq/03;
Ananda et al PRD(08)-a0708 [4th-order
gravity in FRW models]; Corda a0710-in
[R–1 theory]; Capozziello et
al PLB(08)-a0812 [massive,
and LISA]; > s.a. gravitational
waves and background.
@ Types of solutions: Campanelli et al PRD(94)gq [perturbative
method]; Barraco & Hamity GRG(99)
[asymptotically flat, and general relativity solutions]; Clifton & Barrow PRD(05)gq [Gödel,
Einstein and de Sitter], CQG(06)
[Kasner-type], CQG(06)gq [cosmological,
4th-order theories]; Goswami et al PRD(08)-a0804 [Einstein
universes, 4th-order theories]; Azadi et al PLB(08)
[static cylindrically symmetric]; > s.a. spherical
symmetry.
Newtonian Limit
* Remark: Its
existence cannot work as a selection rule among metric f(R)
theories, because it is implied by stability.
@ General references: Quandt & Schmidt AN(91)gq/01;
Domínguez & Barraco PRD(04)gq [Palatini];
Capozziello gq/04-in
[rev]; Capozziello & Troisi PRD(05)ap [4th-order,
PPN limit]; Sotiriou GRG(06)gq/05;
Bertolami et al PRD(07)-a0704 [extra
force]; Capozziello et al PRD(07)-a0708;
Corda IJTP(08)
[extra repulsive force]; Stabile a0809-PhD;
Sokolowski APPB(08)-a0810 [and
stability]; Capozziello et al MPLA(09)-a0901 [presence
of Yukawa correction]; Capozziello & Stabile a0903 [quadratic
Lagrangians].
@ Newtonian limit, R–1:
Dick GRG(04)gq/03;
Rajaraman ap/03;
Navarro & Van Acoleyen PLB(05)gq [and
acceleration]; Cembranos PRD(06)gq/05 [as
lim at intermediate energy]; Navarro & Van Acoleyen JCAP(06)gq/05 [large
distance].
@ Post-Newtonian framework:
Allemandi et al GRG(05);
Capozziello et al MPLA(06)gq [and
experimental constraints]; De Laurentis et al a0911-AdP [and cosmological
gravitational waves].
Other Phenomenology > s.a. black-hole
formation and laws; phenomenology
of gravity; tests
of general relativity.
@ Galactic dynamics: Capozziello et al PLA(04), ap/04-in,
Frigerio & Salucci MNRAS(07)ap
[rotation curves]; Borowiec et al ap/06-in
[dark matter and dark energy].
@ Solar system constraints: Olmo PRL(05)gq, PRD(05)gq + gq,
Jin et al gq/06 [f(R)];
Faraoni PRD(06)gq;
Ruggiero & Iorio JCAP(07)gq/06 [planetary
orbits]; Chiba et al PRD(07)ap/06;
Zakharov et al PRD(06);
Faulkner et al PRD(07)ap/06,
Saffari & Rahvar PRD(08)-a0708 [and
cosmology]; Hu & Sawicki PRD(07)-a0705 [models
that evade solar system tests]; Allemandi & Ruggiero GRG(07);
Bertolami & Páramos PRD(08)-a0709;
Iorio & Ruggiero SRE(08)-a0711;
Capozziello & Tsujikawa PRD(08)-a0712;
De Felice & Tsujikawa a0907;
Bisabr a0907.
@ Solar system constraints, R–1: Erickcek et al PRD(06)ap [ruled
out by solar system tests]; Exirifard a0810 [not
ruled out by solar system tests].
@ Star interiors, f(R) gravity: Kainulainen et al
PRD(07)-gq/06;
Bustelo & Barraco CQG(07)gq/06;
Henttunen
et al PRD(08)-a0705.
@ Singularities: Holdom PRD(02)
[and horizons]; > s.a. types of singularities [isotropic].
@ Related topics: Accioly
et al NCB(00), Accioly & Blas PRD(01)gq [light
deflection, quadratic]; Magnano & Sokolowski AP(03)gq/02 [massive
spin-2 field generated]; Núñez & Solganik PLB(05)ht/04 [IR
modifications not viable]; Gabadadze & Iglesias PLB(06)
[precession]; Capozziello et al MPLA(07)
[gravitational
wave background]; Iorio & Ruggiero IJMPA(07)
[double pulsar]; Li et al CQG(09)-a0801 [indistinguishable
macroscopic behavior]; > s.a. Chameleon Field;
energy [virial theorem]; energy
conditions; equivalence
principle; gravitational
radiation; thermodynamics.
main page – abbreviations – journals – comments – other
sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 11
nov 2009