3-Dimensional Classical Gravity| 3-Dimensional Classical Gravity |
In General > s.a. 3D general relativity;
3D massive gravity; 3D quantum gravity.
@ General references:
Blagojević & Cvetković PRD(10)-a1003 [conserved charges];
Nelson a1804-in [rev];
Deser a1910-fs;
Geiller et al a2011 [covariant phase space, dual diffeomorphisms];
> s.a. lattice gravity.
@ Quadratic:
Accioly et al JPA(01) [with Chern-Simons term],
PLA(01),
MPLA(01),
PRD(03) [with Chern-Simons term];
Accioly & Dias MPLA(04) [unitarity];
> s.a. higher-order theories.
@ Without dynamics: Husain CQG(92) [without Hamiltonian constraint];
Escalante & Ochoa-Gutiérrez AP(17)-a1610 [canonical and symplectic analysis].
@ Other theories:
Cornish & Frankel PRD(91);
Waelbroeck NPB(91) [time];
Zanelli BJP(00)ht-ln [Chern-Simons gravity];
Bezerra et al gq/01 [Jackiw's];
Cacciatori et al PLB(02)gq [Einstein-AdS];
Arias & Gaitan FPC(09)-a0709 [self-dual spin-2 theory];
Escalante & Manuel-Cabrera AP(14)-a1308 [exotic action, Hamiltonian];
Bergshoeff et al PRL(13)-a1307 [zwei-dreibein action];
Boulanger et al JHEP(14)-a1312 [fractional-spin];
Mazumdar & Stettinger NPB(20)-a1811 [infinite-derivative].
> Types of theories: see bimetric
gravity; born-infeld theory; brans-dicke theory;
Scalar Theory; Schouten Gravity;
types of field theories [generally covariant].
Matter, Solutions and Phenomenology
> s.a. gravitational collapse.
@ General references: Meusburger AIP(09)-a1001,
a1001-conf,
GRG(11)-a1001-conf [holonomy and geometry reconstructed from measurements].
@ With topological matter:
Gegenberg et al PLB(90);
Mann & Popescu CQG(06)gq/05 [0-form and 2-form].
@ With other matter: Fernando GRG(02)gq [rotating dilaton solutions];
Özçelik et al AP(18)-a1611 [conformal scalar field].
@ Black holes:
Yamazaki & Ida PRD(01) [Einstein-BI-dilaton];
Sousa & Maluf PTP(02)gq/03 [teleparallel];
> s.a. 3D black holes.
@ Cosmology: Hellerman JHEP(11)-a0902 [Λ < 0, maximum mass of excitation];
Creminelli et al CMP(20)-a1902 [Λ > 0, asymptotic behavior].
Chern-Simons Form, Topological Gravity
> s.a. 3D general relativity; chern-simons theory;
Metric-Affine Gravity; Topological Gravity.
* For vanishing cosmological constant:
3D general relativity, formulated as an ISO(2,1)-Chern-Simons gauge theory, which is
integrable; If the phase space is chosen to be that of flat connections modulo gauge
transformations, the theory is purely topological.
* For non-vanishing cosmological constant:
For positive Λ, general relativity can be formulated as a SO(3,1) gauge theory,
and for negative Λ, as a SO(2,2) gauge theory.
@ General references:
Achúcarro & Townsend PLB(86);
Roček & Van Nieuwenhuizen CQG(86);
Teitelboim & Zanelli CQG(87);
Holz CQG(88);
Witten PLB(88);
Bengtsson PRD(89);
Myers NPB(90),
PLB(90);
Myers & Periwal NPB(90);
Soda & Yamanaka MPLA(91);
Birmingham & Rakowski GRG(93);
Aliev & Nutku CQG(95)gq/98,
CQG(96)gq/98;
Meusburger & Schroers CQG(03)ht;
Deser & Tekin CQG(03)gq [energy];
Park JHEP(08)-a0805 [degrees of freedom and gravitons];
Bergshoeff et al LNP(15)-a1402 [Hamiltonian form];
Merbis PhD(14)-a1411;
Sarkar & Vaz PRD(17)-a1706 [canonical];
Hajihashemi & Shirzad PRD(18)-a1704 [Hamiltonian, vielbein formalism].
@ Quantization:
Percacci AP(87).
> Related topics:
see black holes in modified theories.
Conformal Gravity
> s.a. Conformal Gravity / topological field theory.
* Action: In Chern-Simons
form for connection defined in terms of dreibein; SO(3,2) gauge theory.
@ General references:
Deser et al AP(82),
PRL(82);
Horne & Witten PRL(89);
Mannheim in(91);
Vaz & Witten NPB(92).
@ Related topics: García-Compeán et al PRD(00)ht/99 [self-dual].
Deformed and Other Modified Theories
@ General references: Mignemi IJMPA(05)ht/04 [deformed anti-de Sitter algebra, solutions];
Alkaç et al PRD(18)-a1810 [Bachian gravity].
@ Non-commutative:
Valtancoli CQG(05)ht [with pointlike sources];
Schroers PoS(07)-a0711 [lessons learned].
@ Supersymmetric: Guadagnini et al PLB(90);
Cvetković & Blagojević CQG(07)gq [with torsion];
Bergshoeff et al CQG(11) [massive 3D supergravity];
Alvarez et al CQG(15)-a1505 [with mass generation and effective cosmological constant];
Georgiou a1510 [higher-spin supergravity].
@ With torsion: Blagojević & Cvetković
in(06)gq/04;
González & Vásquez JHEP(11)-a0907 [Chern-Simons term, solutions];
> s.a. gravitational radiation.
@ Higher-spin gravity: Mann & Popescu IJMPA(07)gq/06 [and higher-rank gauge theory];
Fujisawa & Nakayama CQG(13) [spin-3];
Burrington et al a1309 [and cosmological singularities];
Afshar et al PRL(13) [spin-3, in 3D flat space];
Honda et al PRD(17)-a1511 [exact path integral];
Caroca et al NPB(18)-a1712 [Chern-Simons].
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