Theories of Gravitation| Theories of Gravitation |
Metric Theories
> s.a. gravitation [gravitational theories in general, other types];
higher-order and modified theories;
non-local theories.
* General relativity: Currently the
standard theory of gravity; > see general relativity,
its actions and variants.
@ General references: Gupta RMP(57);
in Schrödinger 63;
De Alfaro et al NCB(80);
Mann CQG(84),
CQG(89);
Capozziello & De Laurentis PRP(11)-a1108;
Myrzakulov et al IJMPA(13)-a1302 [general aspects of modified gravity theories];
Baykal EPJP(13)-a1310 [variational derivatives of actions];
de Rham et al CQG(14)-a1311 [no new Lorentz-invariant ghost-free kinetic interactions in 4D];
Sbisà PhD-a1406;
Cayuso et al PRD(17)-a1706 [fixing the dynamics].
@ With preferred frame: Petry GRG(79);
Schmelzer gq/96,
gq/96;
Kohler GRG(00)gq/99 [semi-teleparallel];
Eling & Jacobson PRD(04)gq/03 [dynamical];
> s.a. einstein-æther gravity;
hořava gravity; modified lorentz symmetry.
@ Variable c: Magueijo PRD(00)gq,
PRD(01)ap/00;
> s.a. relativistic cosmology;
variation of constants.
@ Scale-invariant: Kelleher CQG(04)gq/03,
CQG(04)gq/03,
PhD(03)gq [spatially];
Verma gq/05;
Darabi IJTP(10)-a0907;
Jain et al CQG(11)-a1105 [with a scalar field, stability around FLRW models];
Padilla et al PRD(14)-a1312 [generalized];
Rinaldi EPJP(18)-a1808 [non-equivalence of Jordan and Einstein frames];
> s.a. conformal gravity; Scale Invariance.
@ Other: Visser GRG(98)gq/97 [background metric];
Drummond gq/99 [variable lightcone];
Anderson gq/99 [cosmological stress tensor];
Magueijo & Smolin CQG(04)gq/03 ["doubly general"];
Jackiw & Pi PRD(03)gq [with Chern-Simons-like term];
Schuller & Wohlfarth NPB(04) [with bounds on sectional curvatures];
Roscoe ap/04/CQG [relational];
Deser CQG(06)gq [with non-degeneracy as field equation];
Di Mauro et al IJGMP(10) ["further extended theories"];
van de Meent PhD-a1111 [piecewise flat];
Lin & Mukohyama JCAP(17)-a1708 [with 2 local degrees of freedom];
Shuler EPJP(18).
> Other theories: see born-infeld
theory; gravitational constant [variable \(G\)];
mach's principle; massive gravity;
Relativistic Theory of Gravitation.
> Modified frameworks:
see finsler geometry; modified lorentz symmetry.
> With additional variables:
see bimetric theories; fifth force;
Metric-Affine Theories; Mimetic Gravity;
scalar-tensor theories; TeVeS.
Connection Theories > s.a. 3+1 connection formulation
of general relativity; gauge theories of gravity.
@ References:
Jakubiec & Kijowski JMP(89) [non-symmetric];
Aldrovandi et al gq/98v1;
Alexandrov CQG(00)gq [SO(4, \(\mathbb C\)) lqg];
Kaul & Sengupta PRD(12)-a1006,
Sengupta JPCS(12) [with Nieh-Yan, Pontryagin and Euler topological terms];
Minguzzi Symm(14)-a1403 [U(2) connection];
Castillo-Felisola & Skirzewski RMF-a1410;
Licata et al IJMMP(17)-a1706 [commutator algebra of covariant derivatives];
Barbero et al JHEP(19)-a1906 [Pontryagin model on manifolds with boundary].
> Related topics:
see action for general relativity [Nieh-Yan density, etc]; Affine
Gravity; BF theories; Topological Gravity.
Theories with Other Variables > s.a. einstein-cartan theory;
newton-cartan theory; Non-Symmetric
Gravity; Scalar Theory; string theory.
* C-theory: A unified framework
to study metric, metric-affine and more general theories of gravity.
@ W-gravity: Hull CMP(93)ht/92;
Castro JGP(00)ht/98 [from Fedosov quantization];
Abreu et al PRD(02)ht.
@ Spinors, Dirac operator: Landi & Rovelli PRL(97)gq/96,
MPLA(98)gq/97,
Landi gq/99-talk [eigenvalues];
Holfter & Paschke JGP(03)ht/02 [moduli space, path integrals];
Hebecker & Wetterich PLB(03)ht [higher-dimensional],
Wetterich PRD(04)ht/03;
Moffat gq/03 [and the cosmological constant];
Novello gq/06 [gravity as effective theory];
Carone et al CQG(19)-a1812 [interacting fermions with massless composite graviton].
@ Scalar-vector theories:
Goenner & Leclerc gq/00/PRD;
Fleury et al JCAP(14)-a1406 [stability and causality].
@ Scalar-vector-tensor: Moffat JCAP(06)gq/05;
Charmousis et al JHEP(12)-a1206 [higher-derivative];
Heisenberg JCAP(18)-a1801;
Kase & Tsujikawa JCAP(18)-a1805 [dark energy];
Ghaffarnejad & Dehghani EPJC(19)-a1906 [galaxy rotation curves];
Liu et al a1912 [gravitational waves];
> s.a. black-hole thermodynamics; gravitomagnetism.
@ Vector theories: Borodikhin G&C(11)-a0802 [and solar-system tests];
Svidzinsky a0904 [vector theory, no black holes];
Guendelman IJMPA(10)-a0911 [vector field giving dynamical time];
Faddeev a0911 [10 vectors];
Borodikhin a1104 [quantization, renormalizable];
Svidzinsky PS(17)-a1511 [and dark energy],
PS(17)-a1703 [gravitational-wave interferometer tests];
Allen PRD(18)-a1801 [gravitational-wave detection].
@ Vector-tensor theories: Yoshida & Shiraishi PS(91)-a1412 [and cosmology];
Jiménez & Maroto JCAP(09)-a0811 [viability],
PRD(09)-a0905 [cosmological evolution];
Dale & Sáez ASS(12)-a1011 [viability];
Gao PRD(12)-a1111 [generalized Lorentz gauge condition];
Dale & Sáez PRD(14)-a1404 [cosmology];
Exirifard a1404-GRF [with gauge fields];
Dale et al ASS(15)-a1509 [horizons];
Kimura et al JCAP(17)-a1608 [propagating degrees of freedom];
Dale & Sáez JCAP(17)-a1610 [cosmology];
Baker et al PRL(17)-a1710 [constraints from GW170817];
Kase et al PRD(18)-a1711 [neutron stars];
Kase et al PLB(18)-a1803 [extended].
@ People with their own theories: Havel 03.
@ Self-interacting spinor fields:
Novello & De Lorenci MPLA(95);
Sokołowski IGJMP(07)gq [and gravitational energy];
Novello & Borba G&C(11).
@ Higher-spin gravity: Bekaert et al RMP(12)-a1007;
Boulanger & Sundell JPA(11)-a1102 [action principle];
Sezgin & Sundell JHEP(12)-a1103 [geometry and observables];
Setare & Adami NPB(16)-a1601 [spin-3 topologically massive gravity, conserved charges];
Aros et al JHEP(18)-a1712 [FLRW];
Arias et al a1712 [any dimensionality, dynamical two-form];
Skvortsov et al a1805 [chiral theory];
Sharapov & Skvortsov NPB(19)-a1901 [all formally consistent field equations];
Tran a2008-PhD;
> s.a. 2D gravity; 3D gravity.
@ Torsion, non-metricity: Hammond GRG(99) [2-form, torsion];
Beltrán Jiménez et al a1903;
Alexander et al PRD(19)-a1905 [with dynamical cosmological constant];
> s.a. affine connections [non-metricity].
@ Other proposals:
Alvarez et al PLB(92),
PLB(93) [2-point distance];
Østvang PhD(01)gq,
G&C(05)gq/01,
G&C(07)gq/02 [quasi-metric gravity];
Mensky G&C(02)gq [in terms of paths in Minkowski space];
Bengtsson MPLA(07)gq;
Fernández & Rodrigues in(10)-a0909 [distorted Lorentz vacuum];
Nash JMP(10);
Trencevski et al IJTP(10) [antisymmetric tensor in Minkowski spacetime];
Koivisto PRD(11) [C-theory, post-Newtonian approach];
Böhmer & Tamanini FP(13)-a1301;
Krishnan a1409 [arbitrary-rank symmetric tensors].
> Related topics: see Barker's Theory;
differential geometry [area-metric spacetimes]; forms
[volume form]; Designer Gravity; fractals
in physics [multi-scale gravity]; Gauss-Bonnet Gravity;
Ghost Fields; Hypergravity;
lorentzian geometry [gravity analogs]; Matroids;
non-commutative gravity; Supermanifolds;
types of field theories [daor fields]; unified theories
[including Weyl's]; Unparticles [ungravity]; Yilmaz Theory.
> General relativity in different variables:
see canonical general relativity;
formulations of general relativity [including connection, embedding, null surfaces];
lattice gravity; regge calculus.
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