English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  The Conformal Einstein Field Equations with Massless Vlasov Matter

Joudioux, J., Thaller, M., & Kroon, J. A. V. (in press). The Conformal Einstein Field Equations with Massless Vlasov Matter. Annales de l'Institut Fourier. Retrieved from http://arxiv.org/abs/1903.12251.

Item is

Files

show Files
hide Files
:
1903.12251.pdf (Preprint), 388KB
Name:
1903.12251.pdf
Description:
File downloaded from arXiv at 2019-04-01 10:57
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Joudioux, Jérémie1, Author           
Thaller , Maximilian, Author
Kroon , Juan A. Valiente, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

Content

show
hide
Free keywords: General Relativity and Quantum Cosmology, gr-qc,
 Abstract: We prove the stability of de Sitter space-time as a solution to the
Einstein-Vlasov system with massless particles. The semi-global stability of
Minkowski space-time is also addressed. The proof relies on conformal
techniques, namely Friedrich's conformal Einstein field equations. We exploit
the conformal invariance of the massless Vlasov equation on the cotangent
bundle and adapt Kato's local existence theorem for symmetric hyperbolic
systems to prove a long enough time of existence for solutions of the evolution
system implied by the Vlasov equation and the conformal Einstein field
equations.

Details

show
hide
Language(s):
 Dates: 2019-03-282021
 Publication Status: Accepted / In Press
 Pages: 27 pages
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1903.12251
URI: http://arxiv.org/abs/1903.12251
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Annales de l'Institut Fourier
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -