Black Holes > s.a. black holes; horizons;
[initial-value formulation].
* Approach: Traditionally,
use finite difference methods, often plagued by instabilities; The three stages
of binary black hole evolution require
different techniques (pre-merger uses PN formalism up to O(v7),
merger is numerical, post-merger–ringdown uses quasinormal modes).
* 2003: Stable gauge,
M Alcubierre.
* 2004: Stable "long-term"
evolution with first full binary orbit, B Brügmann at AEI.
* 2005: First full orbit and
merger, achieved by various groups with technique by F Pretorius that uses
punctures rather than excisions.
* 2006: M Campanelli
et al, J Baker et al, moving punctures to handle singularities.
@ Single black holes: Brügmann PRD(96)gq [adaptive
mesh]; Gómez
et al (BBHGCA) PRL(98)gq;
Hübner CQG(99)
[boundaries]; Scheel et al PRD(02);
Brandt et al CQG(03)gq/02 [data];
Anderson & Matzner FP(05)gq/03 [long
term evolution]; Bishop et al PRD(03)
[Schwarzschild + massive particle]; Karkowski APPB(06)gq [boosted
Kerr].
@ Spherically symmetric: Bona et al PRD(95)gq/94;
Thornburg gq/99/PRD;
Brewin gq/00-MG9;
Ruíz et al a0706 [and axisymmetric, regularization].
@ Axisymmetric: Brandt & Font gq/97-MG8;
Gleiser al et PRD(98)gq/97 [spinning
black hole]; Garfinkle & Duncan
PRD(01)gq/00 [Brill
waves]; Rinne gq/06-PhD.
@ Perturbations: Krivan et al PRD(97)
[Kerr, effects]; Brandt et al gq/97-in;
Papadopoulos et al PRD(98)gq [gravitational
waves]; Loustó CQG(05)gq [fourth-order
algorithm, extreme mass ratio Zerilli & Regge-Wheeler]; > s.a. black
hole perturbations.
@ Binaries: Baker et al PRD(02)
[Lazarus project]; Damour et al PRD(02)gq;
Khanna PRD(02)gq;
Brügmann et al
PRL(04)gq/03;
Zlochower et al PRD(05)gq [4th-order
accuracy]; Pretorius PRL(05)gq;
Diener et al PRL(06)gq/05 [last
orbit]; Pretorius CQG(06)gq [generalized
harmonic coordinates]; Hannam et al gq/06 [punctures];
Boyle et al a0804 [gravitational-wave energy loss].
@ Binaries, data: Berti et al PRD(06)
[eccentricity in data]; Dennison et al PRD(06)
[approximate].
@ Binaries, colliding: Brandt et al gq/97-MG8;
Anninos & Brandt PRL(98)gq;
Seidel
gq/98-GR15;
Brügmann IJMPD(99)
[3+1]; Gómez
et al PRD(01)gq/00;
Dain PRD(01)gq;
Husa et al gq/01-MG9;
Gourgoulhon et al IJMPA(02)gq-in
[last orbit];
Khanna PRD(02)gq [parallel
spins];
Campanelli et al PRD(06)gq;
news pw(06)apr;
Centrella ap/06-in
[rev]; Tichy & Marronetti a0807 [final mass and spin].
@ Several black holes: Arbona et al PRD(98)gq/97;
Brandt & Brügmann
PRL(97)gq, gq/97-MG8
[punctures]; Loustó & Zlochower a0710 [moving
puncture approach].
@ Apparent horizons: Anninos et al PRL(95)gq/94; Baumgarte
et al PRD(96); Thornburg PRD(96); Schnetter gq/02.
@ Other horizons: Schnetter et al PRD(06)gq [dynamical];
Jaramillo et al PRD(07)gq/06 [isolated,
bc implementation].
@ Horizon finders, trackers: Diener CQG(03)
[full 3D]; Caveny et al PRD(03)gq;
Thornburg LRR(07)gq/05;
Lin & Novak CQG(07)gq [3D].
@ Related topics: Kidder et al PRD(00)gq [1D,
pseudospectral collocation method]; Alcubierre & Brügmann PRD(01)gq/00,
et al PRD(01)gq [excision];
Yo et al PRD(02)gq [stability].
Gravitational Waves > s.a. 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.
@ Lqg: Sabharwal & Khanna a0711 [lattice-refined
models, cosmology and interior Schwarzschild].
@ Quantum cosmology: Berger GRG(88);
Rosen et al CQG(06)gq [lqg,
instabilities]; Laguna PRD(07)gq/06 [lqg
and big bang].
Other Models / Systems / Theories > s.a. asymptotic
flatness at spi and null infinity; fluid; 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 gq/06 [black
hole-neutron star].
@ 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].
Main page – Abbreviations – Journals – Comments – Other
sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified
20 jul 2008