A note on the collapse of small data self-gravitating massless collisionless matter

Mihalis Dafermos; A. Rendall

doi:10.1142/S0219891606000926

A note on the collapse of small data self-gravitating massless collisionless matter

Mihalis Dafermos, A. Rendall

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

In this note, we show that small-data asymptotically flat spherically-symmetric solutions to the Einstein-Vlasov system for massless particles are causally geodesically complete and decay appropriately. This extends previous results of Rein and Rendall in the massive case.

Original language	English (US)
Pages (from-to)	589-598
Number of pages	10
Journal	Journal of Hyperbolic Differential Equations
Volume	3
Issue number	4
DOIs	https://doi.org/10.1142/S0219891606000926
State	Published - Dec 2006
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
General Mathematics

Keywords

Einstein equations
Gravitational collapse
Vlasov equation

Access to Document

10.1142/S0219891606000926

Cite this

@article{31ddc6454835493f84c19c6946a1e39d,

title = "A note on the collapse of small data self-gravitating massless collisionless matter",

abstract = "In this note, we show that small-data asymptotically flat spherically-symmetric solutions to the Einstein-Vlasov system for massless particles are causally geodesically complete and decay appropriately. This extends previous results of Rein and Rendall in the massive case.",

keywords = "Einstein equations, Gravitational collapse, Vlasov equation",

author = "Mihalis Dafermos and A. Rendall",

note = "Funding Information: I thank the Albert Einstein Institute, Potsdam, for its hospitality when this research was carried out. I also thank Alan Rendall for many stimulating discussions. This research is supported by NSF grant DMS-0302748, and a Marie Curie International Re-integration grant from the European Commission.",

year = "2006",

month = dec,

doi = "10.1142/S0219891606000926",

language = "English (US)",

volume = "3",

pages = "589--598",

journal = "Journal of Hyperbolic Differential Equations",

issn = "0219-8916",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "4",

}

TY - JOUR

T1 - A note on the collapse of small data self-gravitating massless collisionless matter

AU - Dafermos, Mihalis

AU - Rendall, A.

N1 - Funding Information: I thank the Albert Einstein Institute, Potsdam, for its hospitality when this research was carried out. I also thank Alan Rendall for many stimulating discussions. This research is supported by NSF grant DMS-0302748, and a Marie Curie International Re-integration grant from the European Commission.

PY - 2006/12

Y1 - 2006/12

N2 - In this note, we show that small-data asymptotically flat spherically-symmetric solutions to the Einstein-Vlasov system for massless particles are causally geodesically complete and decay appropriately. This extends previous results of Rein and Rendall in the massive case.

AB - In this note, we show that small-data asymptotically flat spherically-symmetric solutions to the Einstein-Vlasov system for massless particles are causally geodesically complete and decay appropriately. This extends previous results of Rein and Rendall in the massive case.

KW - Einstein equations

KW - Gravitational collapse

KW - Vlasov equation

UR - http://www.scopus.com/inward/record.url?scp=34748857985&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34748857985&partnerID=8YFLogxK

U2 - 10.1142/S0219891606000926

DO - 10.1142/S0219891606000926

M3 - Article

AN - SCOPUS:34748857985

SN - 0219-8916

VL - 3

SP - 589

EP - 598

JO - Journal of Hyperbolic Differential Equations

JF - Journal of Hyperbolic Differential Equations

IS - 4

ER -

A note on the collapse of small data self-gravitating massless collisionless matter

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this