# Global existence of solutions for the Einstein-Boltzmann system with cosmological constant in the Robertson-Walker space-time for arbitrarily large initial data

@article{Takou2006GlobalEO, title={Global existence of solutions for the Einstein-Boltzmann system with cosmological constant in the Robertson-Walker space-time for arbitrarily large initial data}, author={Etienne Takou and Norbert Noutchegueme}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2006} }

We prove a global in time existence theorem for the initial value problem for the Einstein-Boltzmann system, with positive cosmological constant and arbitrarily large initial data, in the spatially homogeneous case, in a Robertson-Walker space-time.

## 9 Citations

### Global existence of solutions for the Einstein-Boltzmann system with cosmological constant in the Robertson-Walker space-time

- Mathematics, Physics
- 2005

We prove a global in time existence theorem for the initial values problem for the Einstein-Boltzmann system with cosmological constant and arbitrarily large initial data, in the spatially…

### Asymptotic-stability of the inhomogeneous Boltzmann equation in the Robertson–Walker space–time with Israel particles

- MathematicsApplicable Analysis
- 2018

ABSTRACT In this paper, we consider the Cauchy problem for the spatially inhomogeneous relativistic Boltzmann equation where the collision kernel is generated by Israel particle. Unique global (in…

### Inhomogeneous relativistic Boltzmann equation near vacuum in the Robertson-Walker space-time

- Mathematics, Physics
- 2016

In this paper, we consider the Cauchy problem for the relativistic Boltzmann equation with near vacuum initial data where the distribution function depends on the time, the position and the…

### Global Existence of Solutions to the Maxwell-Boltzmann system in a Bianchi type 1 space-time

- Physics
- 2010

Global existence of solutions to the coupled Maxwell-Boltzmann system, which rules the collisional evolution of a kind of fast moving, massive and charged particles is proved, in a Bianchi type 1…

### The relativistic Boltzmann equation on a spherically symmetric gravitational field

- Mathematics
- 2017

In this paper, we consider the Cauchy problem for the relativistic Boltzmann equation with near vacuum initial data where the distribution function depends on the time, the position and the…

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