Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Nungesser, Ernesto"'
We study massless solutions to the Einstein equations coupled to different matter models with a magnetic field and a conformal gauge singularity assuming spatial homogeneity with three commuting spatial translations. We show that there are no solutio
Externí odkaz:
http://arxiv.org/abs/2408.10736
Autor:
Lee, Ho, Nungesser, Ernesto
Publikováno v:
2024 Class. Quantum Grav. 41 135010
We show under the assumption of small data that solutions to the Einstein-Vlasov system with a pure magnetic field and Bianchi I symmetry isotropise and tend to dust solutions. We also obtain the decay rates for the main variables. This generalises p
Externí odkaz:
http://arxiv.org/abs/2312.00618
Autor:
Lee, Ho, Nungesser, Ernesto
Publikováno v:
Journal of Differential Equations Volume 409, 15 November 2024, Pages 83-135
We study the Cauchy problem for the Einstein-Boltzmann system with soft potentials in a cosmological setting. We assume the Bianchi I symmetry to describe a spatially homogeneous, but anisotropic universe and consider a cosmological constant $ \Lambd
Externí odkaz:
http://arxiv.org/abs/2311.03209
Publikováno v:
Journal of Differential Equations Volume 411, 5 December 2024, Pages 640-738
We consider the Einstein-Boltzmann system for massless particles in the Bianchi I space-time with scattering cross-sections in a certain range of soft potentials. We assume that the space-time has an initial conformal gauge singularity and show that
Externí odkaz:
http://arxiv.org/abs/2305.15902
Publikováno v:
J. Math. Phys. 64, 011507 (2023)
We show that small homogeneous solutions to the Einstein-Boltzmann-scalar field system exist globally towards the future and tend to the de Sitter solution in a suitable sense. More specifically, we assume that the spacetime is of Bianchi type I--VII
Externí odkaz:
http://arxiv.org/abs/2209.07281
Publikováno v:
In Journal of Differential Equations 5 December 2024 411:640-738
Autor:
Lee, Ho, Nungesser, Ernesto
Publikováno v:
In Journal of Differential Equations 15 November 2024 409:83-135
Publikováno v:
2022 Class. Quantum Grav. 39 105006
We show assuming small data that massless solutions to the reflection symmetric Einstein-Vlasov system with Bianchi VII$_0$ symmetry which are not locally rotational symmetric, can be arbitrarily close to and will remain close to isotropy as regards
Externí odkaz:
http://arxiv.org/abs/2111.01065
Publikováno v:
Gen Relativ Gravit 52, 48 (2020)
We show that massless solutions to the Einstein-Vlasov system in a Bianchi I space-time with small anisotropy, i.e. small shear and small trace-free part of the spatial energy momentum tensor, tend to a radiation fluid in an Einstein-de Sitter space-
Externí odkaz:
http://arxiv.org/abs/1911.04937
We obtain finite-time existence for the massless Boltzmann equation, with a range of soft cross-sections, in an FLRW background with data given at the initial singularity. In the case of positive cosmological constant we obtain long-time existence in
Externí odkaz:
http://arxiv.org/abs/1903.06067