Phenomenology of Brans-Dicke Theory  

In General > s.a. gravitomagnetism.
* Properties: The massless field Φ is to be thought of as corresponding to a "varying gravitational constant G ~ Φ−1"; It incorporates the weak form of the equivalence principle, not the strong one; The local special relativistic laws are valid as usual; The field Φ interacts with matter only indirectly, through the metric.
* Bounds on ω: 1973, needed ω > 5 for reasonable agreement with experiment; 1987, There are much stronger lower bounds, and it does not seem very natural (the ω → ∞ limit of the theory is general relativity, if Taa ≠ 0); 2011, The strongest bound comes from the Cassini mission measurement of the Shapiro time delay, ω > 40,000; 2014, ω > 692 (at 99% c.l.) from Planck mission cmb data.
* And PPN parameters: Cosmological models predict a departure from the general relativity value of |1−γ| between 10−5 and 10−7.
@ Solar system tests: Perivolaropoulos PRD(10)-a0911 [and PPN parameter γ]; Anderson & Morris PRD(12) [Pioneer anomaly]; Bonino et al a2011.
@ Other tests, effects: Dereli & Tucker MPLA(02)gq/01 [precession and torsion]; Barros & Romero MPLA(03) [time delay and Lense-Thirring effect]; Psaltis ap/05/ApJ [msec pulsars]; Carneiro & Montenegro BJP(05)gq-proc [and cosmic coincidence]; Capozziello & Lambiase MPLA(15)-a1501 [propagation of boson particles]; Lima & Ferreira JCAP(16)-a1506 [designer approach]; Gao et al PLB(19)-a1905 [light bending, lensing].
@ Gravitational waves: Scharre & Will PRD(02)gq/01 [waveforms]; Sahoo & Singh MPLA(04)gq; Will & Yunes CQG(04)gq [and LISA]; Faraoni PRD(04)gq [negative energy, stability of Minkowski]; > s.a. gravitational-wave background; scalar-tensor theories.

Gravitating Objects > s.a. monopoles; wormhole solutions.
@ Topological defects: Barros & Romero PRD(97) [monopoles], MPLA(01) [gravitational forces]; Dahia & Romero PRD(99)gq/98 [lines]; Delice PRD(06)gq, PRD(06) [cosmic strings, with cosmological constant].
@ Black holes: Campanelli & Loustó IJMPD(93)gq; Beesham MPLA(98) [parameter interpretation]; Tamaki et al PRD(98)gq/97 [non-abelian], PRD(99)gq [monopole]; Kim PRD(99) [Kerr-Newman type]; Agnese & La Camera NCB(01)gq/00 [black hole metric fluctuations]; Sakai & Barrow CQG(01)gq [evolution]; Kozyrev gq/02 [static, spherical]; Sheykhi & Alavirad IJMPD(09)-a0809 [in Brans-Dicke-Maxwell theory]; Avelino et al PRD(09)-a0904 [mass inflation]; Nayak et al JCAP(10) [primordial, astrophysical constraints]; Maeda & Giribet JHEP(11)-a1105 [Lifshitz black holes]; Vanzo et al PRD(12)-a1208 [on the Campanelli & Loustó solutions].
@ Gravitational collapse and naked singularities: Ziaie et al CQG(10)-a1003; Bedjaoui et al CQG(10)-a1008 [analytical and numerical].
@ Related topics: Kirezli & Delice PRD(15)-a1507 [stationary axisymmetric]; > s.a. types of spacetimes [cylindrical].

Cosmology > s.a. 3D theory; brans-dicke theory [quantum gravity]; early-universe cosmology; theories of cosmological acceleration.
@ General references: Li et al RAA(15)-a1511 [constraints from cmb and baryon acoustic oscillations].
@ Bianchi models: Guzman PLB(97) [cosmic no-hair theorem]; Cervantes-Cota & Nahmad GRG(01)gq/00 [I-V-IX, solutions and isotropization]; Núñez-Yépez GRG(01) [VII]; Singh IJMPA(10) [V, with and without magnetic field]; > s.a. bianchi models and bianchi-I models [Kasner solution]; chaos in bianchi models; inflationary models.
@ Inflation: Gong PRD(99)gq/98; del Campo et al JCAP(07) [emergence from past-eternal static spacetime]; Berman & Trevisan IJTP(09)gq/01.
@ Singularities: Quirós et al PRD(00) [FLRW models]; Tretyakova et al CQG(15)-a1504 [and wormholes].
@ Other FLRW cosmology: Wetterich NPB(88) [varying G]; Gong gq/98; Arik & Çalik MPLA(06)gq/05 [dark energy and dark matter]; Arik et al IJMPD(08)gq/06 [Friedmann equation]; Berman gq/06/ASS; Montenegro & Carneiro CQG(07)gq/06 [decaying vacuum density]; Farajollahi & Mohamadi IJTP(10)-a1001 [with matter and dark energy]; Farajollahi et al IJTP(10)-a1008 [cosmological time]; Hrycyna & Szydłowski PRD(13)-a1304 [emergence of the ΛCDM model]; Bahrehbakhsh et al IJMPD(13)-a1306 [dark energy from 5D theory]; García-Salcedo et al PRD(15)-a1504 [and ΛCDM phase]; Paliathanasis et al PRD(16)-a1511 [with a perfect fluid]; Roy & Chowdhury IJCRR(17)-a1704 [time dependence of the BD parameter and accelerated expansion]; Duary & Banerjee EPJP-a1910 [thermodynamic viability].
@ Other cosmology: Krori et al PLA(81) [stationary axisymmetric solutions in Brans-Dicke-Maxwell theory]; Pimentel PRD(96), MPLA(97); Park & Sin JKPS(99)gq; Chen et al IJTP(05)gq/03 [and Higgs mechanism]; Acquaviva & Verde JCAP(07)-a0709 [and cosmological parameters]; Smolyakov a0711 [and small cosmological constant]; del Campo et al JCAP(09) [static universe, stability]; Samojeden et al PRD(10)-a1001 [with fermions]; Avilez & Skordis PRL(14)-a1303 [cosmological constraints]; Hrycyna & Szydłowski JCAP(13)-a1310 [dynamical complexity]; Hrycyna et al PRD(14)-a1404; > s.a. cmb; gödel solution; NUT Space; standard cosmological model [BD-ΛCDM cosmology].

Other Phenomenology > see brans-dicke theory [massive generalization]; gravitational thermodynamics.


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