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Breakdown criteria for nonvacuum Ein...

Shao, Arick.

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Breakdown criteria for nonvacuum Einstein equations.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Breakdown criteria for nonvacuum Einstein equations./
Author:	Shao, Arick.
Description:	262 p.
Notes:	Source: Dissertation Abstracts International, Volume: 71-06, Section: B, page: 3711.
Contained By:	Dissertation Abstracts International71-06B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3410986
ISBN:	9781124046952

Breakdown criteria for nonvacuum Einstein equations.
Shao, Arick.

Breakdown criteria for nonvacuum Einstein equations. - 262 p.

Source: Dissertation Abstracts International, Volume: 71-06, Section: B, page: 3711.

Thesis (Ph.D.)--Princeton University, 2010.

We generalize a recent "breakdown criterion" result of S. Klainerman and I. Rodnianski, which states roughly that an Einstein vacuum spacetime, given as a CMC foliation, can be extended if the second fundamental form and the derivative of the lapse of the foliation are uniformly bounded. We adapt this theorem and its proof to Einstein-scalar and Einstein-Maxwell spacetimes. In particular, we deal with additional issues resulting from nontrivial Ricci curvature and the coupling between the Einstein and the field equations. The results we prove can be directly extended to Einstein-Klein-Gordon and Einstein-Yang-Mills spacetimes.

ISBN: 9781124046952Subjects--Topical Terms:

515831
Mathematics.

Breakdown criteria for nonvacuum Einstein equations.
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020 $a 9781124046952
035 $a (UMI)AAI3410986
035 $a AAI3410986
040 $a UMI $c UMI
100 1 $a Shao, Arick. $3 1671026
245 1 0 $a Breakdown criteria for nonvacuum Einstein equations.
300 $a 262 p.
500 $a Source: Dissertation Abstracts International, Volume: 71-06, Section: B, page: 3711.
500 $a Adviser: Sergiu Klainerman.
502 $a Thesis (Ph.D.)--Princeton University, 2010.
520 $a We generalize a recent "breakdown criterion" result of S. Klainerman and I. Rodnianski, which states roughly that an Einstein vacuum spacetime, given as a CMC foliation, can be extended if the second fundamental form and the derivative of the lapse of the foliation are uniformly bounded. We adapt this theorem and its proof to Einstein-scalar and Einstein-Maxwell spacetimes. In particular, we deal with additional issues resulting from nontrivial Ricci curvature and the coupling between the Einstein and the field equations. The results we prove can be directly extended to Einstein-Klein-Gordon and Einstein-Yang-Mills spacetimes.
590 $a School code: 0181.
650 4 $a Mathematics. $3 515831
650 4 $a Physics, Theory. $3 1019422
690 $a 0405
690 $a 0753
710 2 $a Princeton University. $3 645579
773 0 $t Dissertation Abstracts International $g 71-06B.
790 1 0 $a Klainerman, Sergiu, $e advisor
790 $a 0181
791 $a Ph.D.
792 $a 2010
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3410986