686 Index
Binary neutron star evolution (cont.)
realistic equations of state, 552–558
unequal-mass n = 1 polytropic binaries, 552
Newtonian simulations, 534–535, 547, 552, 553
prompt vs. delayed collapse, 533, 549, 555, 557, 561,
578
Binary neutron star initial data, see also Conformal
thin-sandwich decomposition; Cusps; Innermost
stable circular orbit; Turning-point criterion
computational method, 515–518, 526–527
corotational binaries, 514–523, 531–532
helical Killing vector, see Killing vectors
irrotational binaries, 523–530,531
Newtonian equilibrium equations, 508–512
quasiequilibrium circular orbits, 506, 514
quasiequilibrium sequences, 519–520, 522–532
relativistic equilibrium equations, 506–507, 512–515,
523–526
Binary neutron stars, see also Binary neutron star
evolution; Binary neutron star initial data;
Hypermassive neutron stars; Post-Newtonian
formalism
astrophysical context, see Gamma-ray bursts;
Gravitational waves; r-process nuclei
no star-crushing effect, 520, 521, 540
Binding energy, see also Turning-point criterion
binary black hole–neutron stars, 569, 570, 571
binary black holes, 408–409, 420, 424–427, 443
binary neutron stars, 522, 523, 529, 530
collisionless clusters, 266, 289, 291
Newtonian spheroid, 355, 365
rotating stars, 465, 466, 467
Birkhoff’s theorem, 10, 177, 253, 288
Black hole excision, see Excision
Black holes, see also Kerr black holes;
Oppenheimer–Snyder collapse; Schwarzschild
black holes; Singularities
binaries, see Binary black holes
brief review, 9–15
elementary solutions to constraint equations, see
Bowen–York solutions; Constraint equations
embedding diagram, 60–61, 435
entropy, 14, 15
formed from collapse, see Collapse; Critical
phenomena; Oppenheimer–Snyder collapse;
Schwarzschild
global theorems, 13–15, see also Area theorem
handling singularity in evolution, 430–436, see also
Excision; Moving-puncture method; Singularity
avoiding coordinates
Hawking radiation, 14
horizons, see Horizons
no-hair theorem, 178, 486
quasinormal modes, 178, 328, 364, 369, 442, 553, 582
toroidal, 233, 370–374
Boltzmann equation, 142, 146, 166, 167, see also
Radiation; Collisionless matter
Bondi accretion, 159, 496, 579, 583
Bondi–Sachs mass, 91
Boson stars, 176, 181, 460, see also Scalar fields
Boundary conditions
asymptotic flatness, see Asymptotic flatness
conformal imaging, see Binary black hole initial data
Dirichlet, 186, 191
in black hole excision, see Excision
Neumann, 186, 191
outgoing wave, 389, 583
quasiequilibrium black hole horizon
concept, 413–419
in binary black hole initial data, 423
in binary black hole–neutron star initial data,
567–568
leading-order approximation, 419, 424, 568
Robin, 191, 273, 407
Bowen–York solutions, see also Binary black hole initial
data; Binary black hole–neutron star initial data;
Conformal transverse-traceless decomposition
binary black hole–neutron stars, 573
binary black holes, 403–413, 420–427
boosted black hole, 73–74
concept, 70
spinning black hole, 70–73
Brans–Dicke theory, 231, 484
Brill mass, 90
Brill waves, 63, 90, 323, 354, 359
BSSN, see Baumgarte–Shapiro–Shibata–Nakamura
formalism
CACTUS, 198, 644
CARPET, 583, 644
Cartoon method, 477
Cauchy problem, 23–25, 300, 596
Chandrasekhar limit, 17, 460, see also White dwarfs
Chebychev polynomials, 215–223, see also Numerical
methods
Chirp mass, 326, 399, 541, 591
Christoffel symbols, see Connection coefficients
Circulation, see Hydrodynamics
Classification of partial differential equations, 183–188,
see also Hyperbolicity
Close limit approximation, 366–369
Codazzi equation, 26, 36–40
Codazzi–Mainardi relation, 39
Collapsars, 478, 503
Collapse, see Collisionless cluster evolution; Cosmic
Censorship; Delayed Collapse; Gravitational
waves; Hoop conjecture; Rotating star evolution;
Scalar fields; Singularities; Stellar collapse;
Supernovae
Collisionless cluster equilibrium models, see also
Collisionless matter
n = 4 polytropes, 283, 285, 288, 289
central redshifts, 266, 283, 285, 288, 289, 291
extreme core-halo configurations, 276, 282, 285, 286