Dynamics of spatially homogeneous locally rotationally symmetric solutions of the Einstein-Vlasov equations

Rendall, Alan D.; Uggla, Claes

doi:10.1088/0264-9381/17/22/310

Dynamics of spatially homogeneous locally rotationally symmetric solutions of the Einstein-Vlasov equations

Alan D. Rendall
(
- Potsdam, Max Planck Inst.
)
,
Claes Uggla
(
- Karlstad U.
)

May, 2000

21 pages

Published in:

Class.Quant.Grav. 17 (2000) 4697-4714

e-Print:

gr-qc/0005116 [gr-qc]

DOI:

10.1088/0264-9381/17/22/310

Report number:

AEI-2000-033

View in:

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Abstract: (arXiv)

The dynamics of the Einstein-Vlasov equations for a class of cosmological models with four Killing vectors is discussed in the case of massive particles. It is shown that in all models analysed the solutions with massive particles are asymptotic to solutions with massless particles at early times. It is also shown that in Bianchi types I and II the solutions with massive particles are asymptotic to dust solutions at late times. That Bianchi type III models are also asymptotic to dust solutions at late times is consistent with our results but is not established by them.

References(11)

Figures(0)

Isotropic cosmological singularities. 3. The Cauchy problem for the inhomogeneous conformal Einstein-Vlasov equations

K. Anguige
(
- Potsdam, Max Planck Inst.
)

- Annals Phys. 282 (2000) 395-419
•
e-Print:
- gr-qc/9903018
•
DOI:
- 10.1006/aphy.2000.6037

Isotropic Cosmological Singularities: II. The Einstein–Vlasov System

K. Anguige
(
- Potsdam, Max Planck Inst.
)
,
K.P. Tod
(
- Oxford U.
)

- Annals Phys. 276 (1999) 294-320
•
e-Print:
- gr-qc/9903009
•
DOI:
- 10.1006/aphy.1999.5947

Minisuperspaces: Observables and quantization

Abhay Ashtekar
(
- Syracuse U.
)
,
Ranjeet Tate
(
- Syracuse U. and
- UC, Santa Barbara
)
,
Claes Uggla
(
- Syracuse U. and
- Lulea U.
)

- Int.J.Mod.Phys.D 2 (1993) 15-50,
- Int. J. Mod. Phys. D2 (1993) 15-50 and Syracuse Univ. - SU-GP-92-02-06 (92,rec.Mar.93) 34 p
•
e-Print:
- gr-qc/9302027
•
DOI:
- 10.1142/S0218271893000039

A General Solution of the Einstein Equations with a Time Singularity

- Adv.Phys. 31 (1982) 639-667
•
DOI:
- 10.1080/00018738200101428

- Class.Quant.Grav. 9 651

The Isotropy of the universe

Charles W. Misner
(
- Maryland U.
)

- Astrophys.J. 151 (1968) 431-457
•
DOI:
- 10.1086/149448

Cosmological solutions of the Vlasov-Einstein system with spherical, plane, hyperbolic symmetry

Gerhard Rein
(
- Munich U.
)

- Math.Proc.Cambridge Phil.Soc. 119 (1996) 739-762
•
e-Print:
- gr-qc/9409041
•
DOI:
- 10.1017/S0305004100074569

The Initial singularity in solutions of the Einstein-Vlasov system of Bianchi type I

Alan D. Rendall
(
- IHES, Bures-sur-Yvette
)

- J.Math.Phys. 37 (1996) 438-451
•
e-Print:
- gr-qc/9505017
•
DOI:
- 10.1063/1.531400

Dynamics of spatially homogeneous solutions of the Einstein-Vlasov equations which are locally rotationally symmetric

A.D. Rendall
(
- Potsdam, Max Planck Inst.
)
,
K.P. Tod
(
- Oxford U.
)

- Class.Quant.Grav. 16 (1999) 1705-1726
•
e-Print:
- gr-qc/9811051
•
DOI:
- 10.1088/0264-9381/16/6/305

- Class.Quant.Grav. 7 1365

Exact hypersurface homogeneous solutions in cosmology and astrophysics

Claes Uggla
(
- Stockholm U.
)
,
Robert T. Jantzen
(
- Villanova U. and
- ICRA, Rome
)
,
Kjell Rosquist
(
- Stockholm U. and
- Brussels U.
)

- Phys.Rev.D 51 (1995) 5522-5557
•
e-Print:
- gr-qc/9503061
•
DOI:
- 10.1103/PhysRevD.51.5522