Models in Numerical Relativity| 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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