Quasilocal Formulation of General Relativity| Quasilocal Formulation of General Relativity |
Dynamics and Canonical Formulation > s.a. action;
canonical general relativity [including boundary terms].
@ General references: Szabados CQG(09)-a0902 [framework, and gauge invariance of boundary terms].
@ Energy-momentum: Lau CQG(93)gq [symplectic];
Husain & Major NPB(97)gq [bounded regions];
Kijowski GRG(97);
Major CQG(00) [quantum];
Chen & Nester G&C(00)gq;
Booth & Fairhurst CQG(03)gq [Hamiltonian];
Szabados CQG(06)gq/05 [boundary conditions];
Lau IJMPD(07) [generalized Chen-Nester expressions];
McGrath et al CQG(12)-a1206 [the need for quasilocal conservation laws];
Oltean et al a2006-GRF [boundary densities];
> s.a. quasilocal energy.
@ Covariant symplectic form: Chen et al PLA(95)gq/94;
Chen & Nester CQG(99)gq/98;
Anco & Tung JMP(02),
JMP(02).
@ From variation of action:
Brown & York PRD(93);
Booth & Mann PRD(99)gq/98 [non-orthogonal boundary];
Brown et al PRD(99)gq/98 [small spheres],
AP(02)gq/00;
Booth PhD-gq/00 [canonical].
@ 2+2 formulation:
Epp gq/95 [double null];
Grant & Moss PRD(97)gq;
Yoon CQG(99)gq/00 [spherical symmetry],
PLA(01)gq/00 [conservation laws],
PRD(04) [no symmetry];
Yoon a1306
[physical time and Hamiltonian reduction];
Yoon CQG(14) [Hamiltonian structure and constraint algebra];
Oh et al a1607 [finding exact solutions].
@ Black holes:
Frolov & Martinez gq/94,
CQG(96)gq/94;
Booth CQG(01)gq [isolated horizons];
Krishnan ch(14)-a1303 [quasi-local horizons].
> Related topics:
see angular momentum; conservation
laws; higher-order theories.
Specific Types of Spacetimes
@ Black holes: Bose & Naing PRD(99)ht [rotating];
Dehghani & Mann PRD(01)ht [Kerr and Kerr-AdS spacetimes, thermodynamics];
Lundgren et al PRD(07)gq/06 [inside a horizon].
@ Axisymmetric: Martinez PRD(94)gq [Kerr];
Zaslavskii CQG(95).
References > s.a. approaches to quantum gravity;
gravitational thermodynamics; laws of black-hole
thermodynamics; null infinity.
@ General references, reviews: Lau PhD(94);
Chang et al gq/99-proc;
Szabados LRR(04),
LRR(09);
Anco JMP(07)gq/04.
@ Relationships:
Horowitz & Tod CMP(82);
Bose & Dadhich PRD(99)gq;
Fatibene et al JMP(01)gq/00.
@ Ashtekar / spinorial variables:
Mason & Frauendiener pr(89);
Lau CQG(95)gq/94,
CQG(96)gq/95.
@ With matter: Ikumi & Shiromizu GRG(99)gq/97;
Booth & Mann PRD(99)gq,
AIP(99)gq [electromagnetism + dilaton];
> s.a. gravitating matter.
@ Related topics: Szabados CQG(94) [and 2D connections];
Bose & Lohiya PRD(99)gq/98 [conformal transformations];
Garattini IJMPA(99)gq/98,
ht/98-proc [quantum corrections];
Brown et al PRD(97)gq/96 [null limit];
Szabados CQG(08) [tetrad approach, global topological obstructions].
Localization and Local Densities
> s.a. gravitational energy; stress-energy pseudotensors.
@ General references: Xulu PhD(02)-ht/03.
@ Small sphere limit of quasilocal: Brown et al PRD(99)gq/98.
@ Localization:
Jezierski & Kijowski GRG(90);
Nester CQG(91);
Yoon gq/94;
Maluf JMP(95)gq.
@ Densities:
Brown & York PRD(93);
Lau CQG(96)gq/95.
@ Special spacetimes: Dereli & Tucker CQG(04)ht [plane waves].
@ In teleparallel equivalent: Maluf JMP(96)gq [de Sitter space];
Maluf et al JMP(96)gq [rotating black holes].
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 14 jun 2020