Dynamics of Gravitating Bodies| 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-Farèse 92),
with the stable configurations being the "scalarized" solutions.
@ General references: Szybka a1409-in [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];
Hod PLB(18)-a1902 [no-go theorem for static boson stars].
@ 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 PRD(17)-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; 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 MG12(12)-a1205 [charged, matching conditions];
Quevedo a1606 [quadrupolar metrics].
@ Stability: Hartle et al ApJ(72);
Prabhu et al CQG(16)-a1606 [axisymmetric perturbations];
Hadžić et al a1810.
@ Differentially rotating:
Molina & Ruiz GRG(17)-a1702 [approximate global stationary and axisymmetric solution].
@ Tidal dynamics:
Pani et al PRD(15)-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;
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];
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];
Mikkola 20 [few-body dynamics];
> s.a. self force.
@ Small bodies: Pound PhD(10)-a1006 [and self force];
Geroch & Weatherall CMP(18)-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];
De Laurentis et al a1811 [in f(R) gravity].
@ Triple, three-body systems: Yamada & Asada PRD(10)-a1010 [collinear solution];
Will a2011 [hierarchical].
> Related topics: see chaotic
motion; orbits of gravitating objects [including equations of motion];
self-force.
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send feedback and suggestions to bombelli at olemiss.edu – modified 30 dec 2020