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Dynamics in stationary, non-globally...

Seggev, Itai.

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Dynamics in stationary, non-globally-hyperbolic spacetimes.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dynamics in stationary, non-globally-hyperbolic spacetimes./
Author:	Seggev, Itai.
Description:	34 p.
Notes:	Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1509.
Contained By:	Dissertation Abstracts International66-03B.
Subject:	Physics, General. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3168388
ISBN:	9780542043802

Dynamics in stationary, non-globally-hyperbolic spacetimes.
Seggev, Itai.

Dynamics in stationary, non-globally-hyperbolic spacetimes. - 34 p.

Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1509.

Thesis (Ph.D.)--The University of Chicago, 2006.

Classically, the dynamics of a scalar field in a non-globally-hyperbolic spacetime is ill-posed. Previously, a prescription was given for defining dynamics in static spacetimes in terms of a second-order operator acting on a Hilbert space defined on static slices. The present work extends this result by giving a similar prescription for defining dynamics in stationary spacetimes obeying certain mild assumptions. The prescription is defined in terms of a first-order operator acting on a different Hilbert space from the one used in the static prescription. It preserves the important properties of the earlier prescription: the formal solution agrees with the Cauchy evolution within the domain of dependence, and smooth data of compact support always give rise to smooth solutions. In the static case, the first-order formalism agrees with second-order formalism (using specifically the Friedrichs extension). Applications to field quantization are also discussed.

ISBN: 9780542043802Subjects--Topical Terms:

1018488
Physics, General.

Dynamics in stationary, non-globally-hyperbolic spacetimes.
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100 1 $a Seggev, Itai. $3 1913272
245 1 0 $a Dynamics in stationary, non-globally-hyperbolic spacetimes.
300 $a 34 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1509.
500 $a Adviser: Robert M. Wald.
502 $a Thesis (Ph.D.)--The University of Chicago, 2006.
520 $a Classically, the dynamics of a scalar field in a non-globally-hyperbolic spacetime is ill-posed. Previously, a prescription was given for defining dynamics in static spacetimes in terms of a second-order operator acting on a Hilbert space defined on static slices. The present work extends this result by giving a similar prescription for defining dynamics in stationary spacetimes obeying certain mild assumptions. The prescription is defined in terms of a first-order operator acting on a different Hilbert space from the one used in the static prescription. It preserves the important properties of the earlier prescription: the formal solution agrees with the Cauchy evolution within the domain of dependence, and smooth data of compact support always give rise to smooth solutions. In the static case, the first-order formalism agrees with second-order formalism (using specifically the Friedrichs extension). Applications to field quantization are also discussed.
590 $a School code: 0330.
650 4 $a Physics, General. $3 1018488
650 4 $a Mathematics. $3 515831
690 $a 0605
690 $a 0405
710 2 0 $a The University of Chicago. $3 1017389
773 0 $t Dissertation Abstracts International $g 66-03B.
790 1 0 $a Wald, Robert M., $e advisor
790 $a 0330
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3168388