Dynamics of Gravitating Bodies  

Single Objects in General > s.a. cosmology [with isolated bodies]; gravitating fields [including shells]; neutron stars; pulsars.
* Idea: Study of the dynamics of isolated gravitating bodies, including stars and black holes, and their properties such as conserved quantities; Effective dynamics of extended objects also provides useful approximations for gravitational wave production.
* Inequalities: For a spherically symmetric charged body, 2R > Q; This inequality is sharp.
* In alternative theories: (Unless otherwise specified, in this page gravitational theory is described by 4D general relativity); In scalar-tensor theories there is an interval of mass values in which there is a phase transition (Damour & Esposito-Farčse 92), with the stable configurations being the "scalarized" solutions.
@ General references: Szybka a1409 [overview].
@ Stars in general relativity: Hartle ApJ(67); Hartle ApJ(75); Hartle & Friedman ApJ(75); Hartle & Munn ApJ(75); Nilsson & Uggla AP(01)gq/00, AP(01)gq/00; Passamonti et al PRD(05) [oscillations]; Pfister CQG(11) [static spherical, perfect fluid]; Mak & Harko EPJC(13)-a1309 [general solution, isotropic fluid sphere]; Oliveira et al EPJC(14)-a1409 [Newtonian view with pressure].
@ Static objects: Wald PRD(72) [electromagnetic field]; Radford gq/06-wd [spherical symmetry]; Andersson et al CPAM(08)gq/06 [elastic bodies]; González & Letelier PRD(04), Vogt & Letelier PRD(05)gq [thick disk]; Karageorgis & Stalker CQG(08)-a0707 [bounds on 2m/r]; Ponce de León G&C(08)-a0711 [non-Schwarzschild star exteriors]; Bimonte et al PRD(08)-a0801 [magnetic stresses and energy]; Kozyrev a1102 [spheroidal Einstein-Maxwell solutions].
@ Spherical objects: Füzfa et al GRG(02)gq/01 [ρ = constant sphere]; Mahomed NCB(03) [charged spheres]; Boonserm et al PRD(05)gq [perfect fluid spheres]; Herrera et al PRD(09)-a0903 [and scalars from orthogonal splitting of Riemann tensor]; Nandra et al PRD(13)-a1307 [in an expanding universe]; Boonserm & Visser IJMPD(16)-a1501 [anisotropic fluid spheres]; Anglada et al PRD(16)-a1511 [radius-charge inequality]; Burikham et al EPJC(16)-a1512 [minimum and maximum mass/radius ratio].
@ Other extended objects: Arnowitt et al AP(65) [minimum size]; Capovilla & Guven PRD(97)mp/98, PRD(98)mp [with edges]; Vaidya GRG(99), GRG(99) [star + radiation]; Zsigrai CQG(03)gq [ellipsoids]; Anandan et al IJMPD(03)gq-GRF, PRD(03) [action]; Capovilla et al CQG(04) [Hamiltonian]; Racine & Flanagan PRD(05)gq/04 [arbitrary shape, PN-1]; Goldberger & Rothstein PRD(06)ht/04 [effective field theory]; Blanchet et al PRD(05) [PN expansion of field]; Choquet-Bruhat & Friedrich CQG(06) [isolated bodies, initial-value problem]; Böhmer & Harko CQG(06) [bounds on physical parameters], GRG(07)gq [lower bound for the mass-radius ratio]; Galloway & O'Murchadha CQG(08)-a0802 [sizes]; Steinhoff & Puetzfeld PRD(10)-a0909 [equations of motion, multipolar expansion]; Andersson a1407-talk [finite self-gravitating elastic objects]; Reiris GRG(14) [constraints on shape]; > s.a. astronomical objects [boson stars]; black holes; collapse; Gravastar; neutron-star models.
@ In other theories: Arminjon RJP(03)gq/02 [scalar gravity]; Babichev & Langlois PRD(09)-a0911, PRD(10) [relativistic stars in f(R) and scalar-tensor theories]; Koshelev & Mazumdar a1707 [compact objects without horizons in infinite-derivative theories]; > s.a. 2D gravity; neutron stars.
> Related topics: see ADM formalism; Elasticity; electricity; force [maximum]; newtonian gravity; self-force; semiclassical general relativity; Tolman-Oppenheimer-Volkoff Equations.

Rotating Objects
* Instabilities: All rotating perfect fluid stars in general relativity are unstable to certain non-axisymmetric perturbations (CFS) instability).
@ Books, reviews: Stergioulas LRR(98)ap-LRR(03); Friedman & Stergioulas 13;
@ General references: Hartle & Sharp PRL(65) [equilibrium]; Xanthopoulos JMP(81); Manko PRL(90); Mars & Senovilla MPLA(98)gq; Gergely et al gq/98-proc; Bradley et al CQG(00)gq [pfluid ball]; Zhang et al MPLA(01); Tartaglia gq/02, comment Iorio GRG(04)gq/03 [weak field]; Abramowicz et al gq/03, Martín-Martín et al gq/04-conf [solution]; Karpov G&C(04); Anderson gq/05 [approximate equations of motion]; Porto PRD(06)gq/05 [spin effects]; Cabezas et al GRG(07) [constant mass density]; Vogt & Letelier PRD(07) [thick disk]; Meinel a0911-MG12 [equilibrium configurations]; Steinhoff & Wang PRD(10), Steinhoff PhD(10)-AdP(11)-a1106 [3.5 post-Newtonian order, ADM formulation]; Gourgoulhon a1003-ln [rotating relativistic stars]; Boshkayev et al PRD(12)-a1207 [slowly rotating, slightly deformed astrophysical objects]; Johannsen JPCS(13)-a1210 [rotating black holes]; Reina & Vera CQG(15)-a1412 + CQG+ [second-order perturbed matching theory]; van Holten IJGMP(16)-a1504-conf; Schiffrin CQG(15)-a1506 [stars for which thermodynamic equilibrium implies dynamic equilibrium].
@ Special types of solutions: Lynden-Bell PRD(04)gq [charged sphere]; Nolan & Vera gq/05-proc [cosmological backgrounds]; Bonnor GRG(05) [negligible mass]; Quevedo a1205 [charged, matching conditions]; Quevedo a1606 [quadrupolar metrics].
@ Stability: Hartle et al ApJ(72); Prabhu et al CQG(16)-a1606 [axisymmetric perturbations].
@ Differentially rotating: Molina & Ruiz a1702 [approximate global stationary and axisymmetric solution].
@ Tidal dynamics: Pani et al PRD-a1503, Landry & Poisson PRD(15)-a1503 [slowly rotating bodies]; Endlich & Penco PRD(16)-a1510 [effective field theory approach].
@ Kerr interiors: Cohen JMP(67) [slow rotation]; Burghardt SBLS(07)-a0711, SBLS(07)-a0711 [differentially rotating fluid]; Wiltshire GRG(12)-a1104; Marsh a1404.
@ In other theories: Frolov gq/07-proc [Poincaré gauge theory]; Sotani PRD(10)-a1003 [slowly rotating stars in TeVeS]; Santos PLA(12) [in f(R) gravity].

Moving and Multiple Objects > s.a. ADM formalism; black holes; chaotic motion; gravitating many-body systems; spinning particles.
@ General references: Harte PRD(06)gq/05 [in flat space]; Hennig et al ApJ(07)gq [inelastic collisions and radiated energy]; Białynicki-Birula & Białynicka-Birula PRA(08)-a0804 [electromagnetic radiation]; Yamada & Asada PRD(10)-a1010 [three-body problem, collinear solution]; Harte CQG(12)-a1103; Henriques & Natário JOTA-a1105 [the "rocket problem"]; Yamada & Asada PRD(12) [three-body problem, triangular solution]; Zschocke & Soffel CQG(14) [one extended moving body, N pointlike bodies, post-Minkowskian]; > s.a. self force.
@ Small bodies: Pound PhD(10)-a1006 [and self force]; Geroch & Weatherall a1707 [and wave packets, optical limit]; > s.a. test-body motion.
@ Binaries, two-body systems: Hartung & Steinhoff AdP(11)-a1107 [Hamiltonian for two spinning objects]; Levi PRD(12)-a1107; Balmelli & Jetzer PRD(13)-a1305, PRD(15)-a1502 [next-to-leading order spin-spin coupling]; Vaidya PRD(15)-a1410 [spin-dependent Hamiltonians]; > s.a. orbits of gravitating objects.

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