Models in Numerical Relativity

In General > s.a. gravitational phenomenology.
* Collapse: A standard procedure is to use excision techniques for the region where a singularity may develop.
@ Collapse: Shibata PTP(00)gq; Birukou et al PRD(02)gq [spherical scalar, any D and ]; Baiotti et al PRD(05) [ns to Kerr]; Dimmelmeier et al ap/06-in [stellar cores]; Baiotti & Rezzolla PRL(06)gq [without excision]; Shapiro a0711-in [black-hole formation, rev].
@ Singularities: Berger gq/95, gq/95-ln; Berger et al gq/97-in [inhomogeneous], LRR(02)gq [rev].
@ With other fields: Barreto et al PRD(05) [Klein-Gordon, characteristic]; Zeller & Hiptmair CQG(06)gq [Einstein-Dirac, spherical symmetry].
@ Cosmology: Garfinkle PRD(99)gq [Gowdy]; Hern gq/00-PhD [inhomogeneous]; Anninos LRR(98)–LRR(01)gq.
@ Axisymmetric: Alcubierre et al IJMPD(01)gq/99; Frauendiener PRD(02)gq [stability], & Hein PRD(02); Choptuik et al CQG(03) [general code].
@ Compact binaries: Shibata PRD(99)gq [neutron stars]; Baumgarte & Shapiro PRP(03)gq/02; Marronetti CQG(05)gq [Hamiltonian relaxation]; Löffler et al PRD-gq/06 [black hole-neutron star]; Tichy CQG(09) [neutron stars]; Pollney et al a0910 [black holes, high accuracy]; > s.a. numerical black holes.
@ Other models: Brügmann AdP(00)gq/99-in [3+1]; Watt & Misner gq/99 [scalar gravity]; Calabrese & Sarbach JMP(03)gq [linearized general relativity, boundary conditions]; > s.a. asymptotic flatness at spi and null infinity; fluids; numerical black holes; self-force.

Gravitational Waves > s.a. gravitational collapse; [gravitational waves].
@ Plane waves: Bardeen & Buchman PRD(02)gq/01 [colliding].
@ From single black hole: Papadopoulos & Font PRD(99)gq/98 [method]; Gómez PRD(01)gq; Sopuerta & Laguna PRD(06)gq/05 [orbiting particle].
@ From binary inspiral: Baker et al PRL(01)gq, PRD(02)gq.
@ Related topics: Bishop et al PRD(96) [Cauchy + characteristic]; Kokubun PLA(98)gq [from Hénon-Heiles]; Sigalotti & Stark gq/99/CQG [non-axisymmetric]; New et al PRD(00)gq [adaptive mesh]; Garfinkle & Duncan PRD(01) [Brill waves]; Calabrese et al PRD(02)gq [KST stability]; Misner gq/05 [compactified, beyond ].

Quantum Gravity > s.a. regge calculus.
@ Loop quantum gravity: Sabharwal & Khanna CQG(08)-a0711 [lattice-refined models, cosmology and interior Schwarzschild solution].
@ Quantum cosmology: Berger GRG(88); Rosen et al CQG(06)gq [lqg, instabilities]; Laguna PRD(07)gq/06 [lqg and big bang].

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