Chaotic Motion in a Gravitational Field| Chaotic Motion in a Gravitational Field |
Geodesic Motion of Test Bodies > s.a. dynamics
of gravitating bodies; lyapunov exponents.
* Note: Unless otherwise specified,
in this page gravitational theory is described by 4D general relativity.
@ Perturbed Schwarzschild:
Bombelli & Calzetta CQG(92);
Moeckel CMP(92);
Bombelli in(94);
Cornish & Frankel PRD(97)gq/96;
Vieira & Letelier PRL(96);
Letelier & Vieira CQG(97)gq,
PRD(97)gq;
de Moura & Letelier PRE(00)cd/99 [Schwarzschild with halo].
@ Two centers: Contopoulos PRS(90),
PRS(91);
Dettmann et al PRD(94),
Frac(95)gq;
Yurtsever PRD(95)gq/94;
Cornish & Gibbons CQG(97)gq/96 [Einstein-Maxwell-dilaton];
Contopoulos & Harsoula JMP(04) [two fixed black holes].
@ Static axisymmetric:
Karas & Vokrouhlický GRG(92) [Ernst spacetime];
Sota et al CQG(96)gq/95 [vacuum],
gq/96 [non-vacuum],
comment Vieira & Letelier CQG(96)gq.
@ Other isolated bodies: Letelier & Motter PRE(99)ap/02 [monopole + quadrupole];
Guéron & Letelier PRE(01)ap,
ap/01 [axisymmetric + quadrupole];
Chen & Wang CQG(03)gq/02 [charged black hole + dipoles];
Dubeibe et al PRD(07);
Han PRD(08)-a1006 [rotating neutron star];
Dalui et al a1803 [near an event horizon];
De Falco a2001 [Kerr equatorial orbits];
Xue a2012,
a2012 [perturbed Schwarzschild and Kerr, KAM theory].
@ In FLRW spacetime: Lockhart et al PRD(82);
Tomaschitz JMP(91).
@ Other cosmological models:
Kandrup NYAS(98)ap/99 [time-varying background].
@ Cosmic strings: Frolov & Larsen CQG(99)gq [scattering by black holes].
@ In gravitational waves: Podolský & Veselý PRD(98)gq,
CQG(98)gq,
CQG(99)gq [pp-waves];
Veselý & Podolský PLA(00)gq;
Podolský & Kofroň CQG(07)-a0705,
Sakalli & Halilsoy ChPL(11)-a0706 [Kundt spacetimes].
Motion of Other Bodies > s.a. black-hole phenomenology;
Hill System; sources of gravitational waves.
* Coalescing binaries: While there
are chaotic regions of phase space without radiation reaction, in practice with
radiation chaos has no effect within inspiral timescales.
@ Spinning particle in Schwarzschild spacetime:
Suzuki & Maeda PRD(97)gq/96,
PRD(00)gq/99;
Kao & Cho PLA(05)gq/04;
Koyama et al PRD(07);
Verhaaren & Hirschmann PRD(10)-a0912,
comment Lukes-Gerakopoulos a1604.
@ Spinning particle in Kerr spacetime: Suzuki & Maeda PRD(98)gq/97;
Hartl PRD(03)gq/02,
PRD(03);
Han GRG(08)-a1006 [numerical];
> s.a. kerr spacetime.
@ Charged particle around black hole: Aguirregabiria PLA(97) [four extreme Reissner-Nordström black holes];
Takahashi & Koyama ApJ(09)-a0807;
Kopáček et al AIP(10)-a1011 [charged particle around Kerr spacetime with magnetic field];
Kopáček & Karas JPCS(15)-a1412 [inclined black hole magnetosphere].
@ Binaries, and gravitational radiation: Chicone et al CQG(97)gq/96,
CQG(99)gq/98;
Levin et al PRD(00)gq/99 [homoclinic];
Cornish PRD(01)gq;
Cornish & Levin gq/02,
PRD(03),
CQG(03)gq [time scales];
Wu & Xie PRD(07)-a1004 [chaos not effectively ruled out].
@ Binaries, spinning: Levin PRL(00)gq/99,
PRD(03)gq/00;
Cornish PRL(00)gq/01;
Hughes PRL(00)gq/01 [small effect on radiation];
Schnittman & Rasio PRL(01)gq [numerical, no chaos],
comment Cornish & Levin PRL(02)gq;
Levin PRD(06)gq [black hole pairs];
Wang & Wu CQG(11) [spin-orbit contributions];
Huang et al EPJC(14)-a1403 [with next-to-leading order spin-spin interactions].
@ Black hole with matter disk: Saa & Venegeroles PLA(99)gq;
Saa PLA(00)gq.
@ Many-body systems: El-Zant & Gurzadyan PhyD(98)ap;
Sideris & Kandrup PRE(02)ap/01;
Burnell et al PRE(04)gq/03 [three-body];
news sn(20)apr [three black holes];
> s.a. gravitational thermodynamics
and phenomenology.
Consequences > s.a. chaos.
@ Scattering:
Ellis & Tavakol CQG(94),
Fukushige et al ApJL(94)ap [and cmb];
Levin PRD(99)ap/98 [light].
Other Systems > see chaos in bianchi models, and in the metric.
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 13 dec 2020