Massive Gravity Theories| Massive Gravity Theories |
In General 
s.a. gravity theories.
* Idea: A type of modification
of general relativity in which gravitons have mass.
* History: The first linearized
massive gravity theory was the Pauli-Fierz theory, which included a simple, quadratic
mass term and is not considered viable because it has a ghost mode in its spectrum,
with the resultant loss of unitarity of the quantum theory; Non-Pauli-Fierz theories
with a generic graviton mass term and/or higher-order terms have more recently been
proposed, including the dRGT non-linear massive gravity theory; 2015, Considered to
be a hot topic in theoretical physics.
* Rem: Giving mass to the graviton is not
as straightforward as in the case of a scalar field, since it requires the introduction
of a second, fiducial metric; This modification changes the theory drastically, for
example adding degrees of freedom that may alter its phenomenology and viability.
@ Intros, reviews: Hinterbichler RMP(12)-a1105;
Hossenfelder blog(13)dec;
de Rham LRR(14)-a1401;
Mirbabayi a1412 [and perfect fluid analogy].
@ General references: Logunov TMP(94);
Porrati ht/04-proc [in anti-de Sitter and Minkowski space];
Chen ap/05 [with antigravity for fermions];
Berezhiani et al JHEP(08)-a0803;
de Rham PLB(10)-a0910 [non-linear realization];
Bergshoeff et al proc(11)-a1007 [and Schouten tensor, Lovelock gravity, and renormalizability];
Alberte et al JHEP(10)-a1008 [Vainshtein scale in massless limit of Higgs gravity];
Accioly et al CQG(11);
Comelli et al PRD(12)-a1204 [degrees of freedom];
Baccetti et al JHEP(12)-a1206 [Gordon and Kerr-Schild Ansätze];
Burrage et al PRL(13)-a1211 [bound on graviton mass];
Deser et al PLB(13)-a1306 [acausality];
Mukohyama ed-CQG(13) [issue];
Bluhm PRD(15)-a1401 [explicit vs spontaneous diffeomorphism breaking];
Deser et al MPLA(15)-a1410 [problems];
de Rham et al CQG(15)-a1505 [uniqueness of the Einstein-Hilbert kinetic term];
Renaux-Petel a1512-proc.
@ Hamiltonian analysis:
Blagojević & Cvetković JHEP(11);
Banerjee et al JHEP(11) [symmetries];
Klusoň JHEP(12)-a1202,
PRD(12)-a1209,
IJMPA(13) [non-linear massive gravity];
Golovnev a1302-conf [ADM analysis];
Comelli et al JHEP(13)-a1305 [general analysis, possible theories];
Soloviev a1505 [and cosmology];
Mahdavian Yekta PRD(15)-a1503,
De Felice & Mukohyama PLB(16)-a1506 [minimal theory];
Gabadadze & Pirtskhalava PRD(18)-a1803 [boundary terms].
@ Coupling to matter: Falkowski & Isabella a2001 [massive spin-2 field interacting with spin-0, spin-1/2, or spin-1 matter, UV properties].
@ And Higgs mechanism: Goon et al JHEP(15)-a1412 [as a Higgs phase of general relativity].
@ Quantum aspects: Park JHEP(11)-a1011 [non-Pauli-Fierz theory];
de Rham et al PRL(11)-a1011 [ghost-free, covariant non-linear theories];
de Rham et al PRD(13)-a1307 [one-loop quantum corrections];
Akagi & Mori PRD(19)-a1812 [constraints, absence of ghosts];
> s.a. Boulware-Deser Ghost;
higher-order lagrangian theories.
Related Theories
> s.a. 2D gravity; 3D massive gravity;
bimetric gravity; conformal gravity;
dRGT; Pauli-Fierz Theory [including alternative linear theories].
* Extended non-linear theory:
A varying-mass generalization of non-linear massive gravity.
* Non-linear partially massless theory:
A theory of massive gravity in which the spin-2 graviton has four propagating
degrees of freedom, as opposed to the five polarizations of a massive theory
and the two of a massless theory.
@ Non-local theory: Jaccard et al PRD(13)-a1305 [fully covariant theory without an external reference metric];
Maggiore PRD(14)-a1307 [and phantom dark energy];
Modesto & Tsujikawa PLB(13)-a1307 [generally covariant action].
@ Non-linear massive gravity:
Arraut & Chelabi EPL(16)-a1603 [as a gravitational σ-model].
@ Non-linear partially massless theory:
de Rham et al PRD(13)-a1302;
Brito et al PRD(13)-a1306 [black holes];
Deser et al PRD(13)-a1306 [no consistent bimetric gravity?];
Alexandrov & Deffayet JCAP(15)-a1410 [3D];
Tannukij & Oh a1807 [as quantum gravity candidate].
@ Non-linear with f(R) contributions:
Cai et al PRD(14)-a1307 [and cosmology].
@ Other theories: Scharf GRG(10) [massless limit is modified general relativity];
Dengiz & Tekin PRD(11)-a1104
[Weyl-invariant version of New Massive Gravity, symmetry breaking and Higgslike mechanism];
Comelli et al PRD(13)-a1302 [weak massive gravity];
Park & Sorbo JHEP(13) [from higher-derivative gravity];
Bracho & Khoudeir PRD(13) [new massive dual gravity, first-order actions];
Lin PLB(13)-a1305 [with SO(3) symmetry];
Blas & Sibiryakov JETP(15)-a1410 [Lorentz-violating UV completions];
Do PRD(16)-a1602 [higher-dimensional, non-linear];
Chamseddine & Mukhanov JHEP(18)-a1805 [mimetic, ghost-free];
Parvizi & Sadeghi EPJC-a1704 [higher-order, and holography];
Gümrükçüoğlu et al a2003 [with non-minimal coupling];
> s.a. born-infeld theory; 3D massive gravity.
> Related topics: see graviton [massive];
interactions [instantaneous]; spacetime [as an effective
elastic medium].
> Online resources: see
Wikipedia page.
Solutions and Phenomenology > s.a. 3D black holes;
black holes in modified theories; black-hole thermodynamics.
@ General references: Tasinato et al CQG(13)-a1304 [exact solutions, rev];
Camanho et al PRD(17)-a1610 [causality constraints];
Cheung & Remmen JHEP(16)-a1601 [constraints from unitarity and analyticity of scattering amplitudes].
@ Spherically symmetric solutions: Damour et al PRD(03)ht/02;
Brihaye & Verbin PRD(12)-a1109 [perfect fluid];
Sbisà et al PRD(12)-a1204;
> s.a. schwarzschild-de sitter spacetime.
@ Other isolated objects: Bebronne PRD(10)-a1005 [static, quasi-linear];
Babichev et al PRD(10)-a1007 [recovery of general-relativity solutions];
Gruzinov & Mirbabayi PRD(11)-a1106 [stars and black holes];
Deser & Waldron PRD(14)-a1310 [novel effects of sources];
> s.a. types of neutron stars.
@ Astrophysical tests:
Décanini et al a1401 [black hole ringings].
@ Cosmology, special solutions: D'Amico et al PRD(11)-a1108 [(no) homogeneous and isotropic solutions];
Vakili & Khosravi PRD(12)-a1204 [non-linear massive gravity, open FLRW background];
Gratia et al PRD(12) [spherically symmetric, cosmological-constant-like behavior];
Kobayashi et al PRD(12)-a1205 [with all three spatial geometries];
Martín-Moruno & Visser CQG(13)-a1301 [vacuum and non-vacuum solutions];
Solomon et al JCAP(15)-a1409 [how to produce viable cosmologies];
de Rham IJMPD(14)-a1410 [stable FLRW solutions in generalized massive gravity];
Pinho et al RMAA-a1510;
De Felice & Mukohyama JCAP(16)-a1512 [minimal theory, dust-filled FLRW].
@ Cosmology, perturbations: D'Amico PRD(12)-a1206;
De Felice et al PRL(12)-a1206 [instability of Bianchi I models];
De Felice et al JCAP(13)-a1303,
Khosravi et al JCAP(13)-a1305 [stability of cosmological solutions];
Gümrükçüoğlu et al PRD(13)-a1304 [in extended massive gravity];
De Felice et al CQG(13)-a1304 [rev];
Nesseris & Tsujikawa PRD(14)-a1402 [observational constraints on non-local massive gravity];
Comelli et al PRD(14)-a1403,
Solomon et al JCAP(14)-a1404,
Lagos & Ferreira JCAP(14)-a1410 [of FLRW models, massive bigravity].
@ Cosmology, observational constraints:
Cardone et al PRD(12)-a1205;
Gong a1210.
@ Cosmology, in extended theories:
Hinterbichler et al PLB(13)-a1301;
Leon et al CQG(13)-a1301 [dynamical analysis of various scenarios].
@ Cosmology, other:
Gümrükçüoğlu et al PLB(12)-a1206 [FLRW model with anisotropic perturbations];
Langlois & Naruko CQG(12),
CQG(13) [on de Sitter spacetime];
Wyman et al PRD(13)-a1211;
Comelli et al JCAP(14)-a1307;
Heisenberg & Refregier JCAP(16)-a1604.
@ Related topics: Gratia et al CQG(13)-a1305 [and determinant singularities];
Guarato & Durrer PRD(14)-a1309 [perturbations on a general background].
> Related topics: see higgs mechanism;
kaluza-klein phenomenology; Vainshtein Mechanism.
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 28 feb 2021