Models in Numerical Relativity  

In General > s.a. gravitational phenomenology; issues and methods in numerical relativity.
* 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 Λ]; Baiotti et al PRD(05) [neutron star to Kerr]; Dimmelmeier et al AIP(06)ap [stellar cores]; Baiotti & Rezzolla PRL(06)gq [without excision]; Shapiro a0711-in [black-hole formation, rev]; Saotome et al CQG(10)-a1004 [scalar field, and BKL conjecture in asymptotically-flat spacetime]; Sekiguchi et al PTEP-a1206 [massive-stellar-core collapse].
@ Singularities: Berger gq/95-conf, gq/95-ln; Berger et al gq/97-conf [inhomogeneous], LRR(02)gq [rev]; Garfinkle CQG(12).
@ With other fields: Barreto et al PRD(05) [Klein-Gordon field, characteristic]; Zeller & Hiptmair CQG(06)gq [Einstein-Dirac theory, spherical symmetry]; Okawa et al PRD(14)-a1401 [scalar-field condensates around rotating black holes].
@ Astrophysics: Lehner & Pretorius ARAA(14)-a1405; Berti et al IJMPD(16)-a1603 [rev, and high-energy physics].
@ Axisymmetric: Alcubierre et al IJMPD(01)gq/99; Frauendiener PRD(02)gq [stability], & Hein PRD(02); Choptuik et al CQG(03) [general code]; Rinne PhD(05)gq/06; Zilhao et al PRD(10)-a1001 [D-dimensional].
@ Other models: Brügmann AdP(00)gq/99-conf [3+1]; Watt & Misner gq/99 [scalar gravity]; Calabrese & Sarbach JMP(03)gq [linearized general relativity, boundary conditions]; Choptuik et al a1502-in [strong-field gravity]; Dias et al CQG(16)-a1510 [stationary, higher-dimensional]; > s.a. asymptotic flatness at spi and null infinity; fluids; gravitational self-force; numerical black holes.
@ Related topics: Pappas & Apostolatos PRL(12)-a1201 [multipole moments]; Lindblom et al PRD(14)-a1312 [on manifolds with arbitrary spatial topologies].

Cosmology > s.a. computational physics [tools]; cosmic strings.
@ General references: Garfinkle PRD(99)gq [Gowdy spacetimes]; Anninos LRR(98)–LRR(01)gq; Chisari & Zaldarriaga PRD(11)-a1101 [Newtonian simulations and general relativity]; Garrison a1207 [early universe]; Bentivegna CQG(14)-a1305 [periodic boundary conditions, multigrid solver]; Wainwright et al JCAP(14)-a1312 [cosmic bubble collisions and cosmological observables]; Daverio et al CQG(17)-a1611.
@ Inhomogeneous: Hern PhD(99)gq/00; Giblin et al PRL(16)-a1511 [BSSN formalism]; Bentivegna PRD(17)-a1610 [dust cosmologies]; Garfinkle & Mead a2006 [initial data].
@ Matter distribution: Shandarin et al PRD(12) [tessellation method for cold dark matter and the "cosmic web"]; Habib et al a1211-conf [multi-petaflop sky simulation on the BG/Q].

N-Body Systems > s.a. dynamics of gravitating bodies [many-body systems].
@ Black hole-neutron star binaries: Löffler et al PRD(06)gq; Foucart et al PRD(11)-a1007 [mergers, effect of black-hole spin orientation]; Etienne et al PRD(12)-a1112.
@ Neutron-star binaries: Shibata PRD(99)gq; Tichy CQG(09); Baiotti et al PRD(10) [mergers, general-relativistic hydrodynamic codes]; Thierfelder et al PRD(11)-a1104; Tichy PRD(11)-a1107 [initial data for arbitrary spins].
@ Other compact binaries: Baumgarte & Shapiro PRP(03)gq/02; Marronetti CQG(05)gq [Hamiltonian relaxation]; > s.a. numerical black-hole binaries.
@ Related topics: Adamek et al PRD(13)-a1308 [weak-field limit, formalism].

Gravitational Waves > s.a. gravitational waves / gravitational collapse.
@ 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; Centrella et al RMP(10)-a1010.
@ 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 \(\cal I\)]; Handmer & Szilágyi CQG(15)-a1406 [spectral characteristic evolution]; Bishop & Rezzolla LRR(16) [extraction from numerical simulation].

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].
@ Loop quantum cosmology: Brizuela et al Sigma(12)-a1110; Singh CQG(12)-a1208 [lqc]; Diener et al CQG(14)-a1310 [Chimera], CQG(14)-a1402; Diener et al CQG(14) [squeezed and non-Gaussian states]; Singh CSE(18)-a1809 [rev, spacetime beyond classical singularities].

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