English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  An introduction to the Einstein-Vlasov system

Rendall, A. D. (1997). An introduction to the Einstein-Vlasov system. In P. T. Chrusciel (Ed.), Mathematics of Gravitation: Part I: Lorentzian Geometry and Einstein Equatations (pp. 35-68). Warszawa: Polish Academy of Sciences, Institute of Mathematics.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5AE3-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5AE4-9
Genre: Book Chapter

Files

show Files
hide Files
:
331296.pdf (Preprint), 305KB
Name:
331296.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
eDoc_access: PUBLIC
License:
-

Locators

show

Creators

show
hide
 Creators:
Rendall, Alan D.1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

Content

show
hide
Free keywords: -
 Abstract: These lectures are designed to provide a general introduction to the Einstein-Vlasov system and to the global Cauchy problem for these equations. To start with some general facts are collected and a local existence theorem for the Cauchy problem stated. Next the case of spherically symmetric asymptotically flat solutions is examined in detail. The approach taken, using maximal-isotropic coordinates, is new. It is shown that if a singularity occurs in the time evolution of spherically symmetric initial data, the first singularity (as measured by a maximal time coordinate) occurs at the centre. Then it is shown that for small initial data the solution exists globally in time and is geodesically complete. Finally, the proof of the general local existence theorem is sketched. This is intended to be an informal introduction to some of the ideas which are important in proving such theorems rather than a formal proof.

Details

show
hide
Language(s):
 Dates: 1997
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: eDoc: 331296
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Mathematics of Gravitation : Part I: Lorentzian Geometry and Einstein Equatations
Source Genre: Book
 Creator(s):
Chrusciel, Piotr T., Editor
Affiliations:
-
Publ. Info: Warszawa : Polish Academy of Sciences, Institute of Mathematics
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 35 - 68 Identifier: ISSN: 0137-6934

Source 2

show
hide
Title: Banach Center Publications
Source Genre: Series
 Creator(s):
Banach Center, Editor  
Affiliations:
-
Publ. Info: -
Pages: - Volume / Issue: 41 Sequence Number: - Start / End Page: - Identifier: ISSN: 0137-6934