Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Goliath, Martin"'
Autor:
Goliath, Martin, Nilsson, Ulf S.
Publikováno v:
J.Math.Phys. 41 (2000) 6906-6917
We consider the problem of late-time isotropization in spatially homogeneous but anisotropic cosmological models when the source of the gravitational field consists of two non-interacting perfect fluids -- one tilted and one non-tilted. In particular
Externí odkaz:
http://arxiv.org/abs/gr-qc/0004069
Autor:
Coley, Alan, Goliath, Martin
Publikováno v:
Phys.Rev. D62 (2000) 043526
Closed, spatially homogeneous cosmological models with a perfect fluid and a scalar field with exponential potential are investigated, using dynamical systems methods. First, we consider the closed Friedmann-Robertson-Walker models, discussing the gl
Externí odkaz:
http://arxiv.org/abs/gr-qc/0004060
Autor:
Coley, Alan, Goliath, Martin
Publikováno v:
Class.Quant.Grav.17:2557-2588,2000
Self-similar, spherically symmetric cosmological models with a perfect fluid and a scalar field with an exponential potential are investigated. New variables are defined which lead to a compact state space, and dynamical systems methods are utilised
Externí odkaz:
http://arxiv.org/abs/gr-qc/0003080
Recently, Holz & Wald have presented a new method for determining gravitational lensing effects on, e.g., supernova luminosity versus redshift measurements in inhomogeneous universes. In this paper, their method is generalized in several ways: First,
Externí odkaz:
http://arxiv.org/abs/astro-ph/9912194
Publikováno v:
Class.Quant.Grav.15:2841,1998
Einstein's field equations for timelike self-similar spherically symmetric perfect-fluid models are investigated. The field equations are rewritten as a first-order system of autonomous differential equations. Dimensionless variables are chosen in su
Externí odkaz:
http://arxiv.org/abs/gr-qc/9811065
Publikováno v:
Class.Quant.Grav. 15 (1998) 167
Einstein's field equations for spatially self-similar spherically symmetric perfect-fluid models are investigated. The field equations are rewritten as a first-order system of autonomous differential equations. Dimensionless variables are chosen in s
Externí odkaz:
http://arxiv.org/abs/gr-qc/9811064
Autor:
Goliath, Martin, Ellis, George F. R.
Publikováno v:
Phys.Rev.D60:023502,1999
Spatially homogeneous cosmological models with a positive cosmological constant are investigated, using dynamical systems methods. We focus on the future evolution of these models. In particular, we address the question whether there are models withi
Externí odkaz:
http://arxiv.org/abs/gr-qc/9811068
A recipe is presented for obtaining Lax tensors for any n-dimensional Hamiltonian system admitting a Lax representation of dimension n. Our approach is to use the Jacobi geometry and coupling-constant metamorphosis to obtain a geometric Lax formulati
Externí odkaz:
http://arxiv.org/abs/solv-int/9810011
Autor:
Rosquist, Kjell, Goliath, Martin
Publikováno v:
Gen.Rel.Grav. 30 (1998) 1521-1534
The use of Lax pair tensors as a unifying framework for Killing tensors of arbitrary rank is discussed. Some properties of the tensorial Lax pair formulation are stated. A mechanical system with a well-known Lax representation -- the three-particle o
Externí odkaz:
http://arxiv.org/abs/gr-qc/9707003
Autor:
Goliath, Martin
Publikováno v:
AIP Conference Proceedings; Nov1999, Vol. 493 Issue 1, p146-150, 5p
